{"id":46,"date":"2023-09-17T10:56:20","date_gmt":"2023-09-17T10:56:20","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d9%82%d8%b5%d9%89-%d9%88%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d8%af%d9%86%d9%89-%d9%84%d9%84%d8%af%d8%a7%d9%84%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88\/"},"modified":"2023-09-17T10:56:20","modified_gmt":"2023-09-17T10:56:20","slug":"%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d9%82%d8%b5%d9%89-%d9%88%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d8%af%d9%86%d9%89-%d9%84%d9%84%d8%af%d8%a7%d9%84%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d9%82%d8%b5%d9%89-%d9%88%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d8%af%d9%86%d9%89-%d9%84%d9%84%d8%af%d8%a7%d9%84%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88\/","title":{"rendered":"\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 (\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u0643\u062a\u0634\u0641 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0646\u0634\u0631\u062d\u0647\u0627 \u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062d\u0644 \u0645\u062b\u0627\u0644\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0648\u0638\u064a\u0641\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-maximos-y-minimos-de-una-funcion\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0648\u0638\u064a\u0641\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u0623\u0643\u0628\u0631 \u0642\u064a\u0645 \u0644\u0644\u062f\u0627\u0644\u0629 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u0623\u0635\u063a\u0631 \u0642\u064a\u0645 \u0644\u0644\u062f\u0627\u0644\u0629.<\/strong> \u062a\u0639\u062a\u0628\u0631 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0648\u0627\u0644\u0635\u063a\u0631\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 <strong>\u0645\u062a\u0637\u0631\u0641\u0629 \u0646\u0633\u0628\u064a\u064b\u0627<\/strong> \u0639\u0646\u062f\u0645\u0627 \u062a\u0645\u062b\u0644 \u0641\u0642\u0637 \u0623\u0643\u0628\u0631 \u0623\u0648 \u0623\u0635\u063a\u0631 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u0628\u064a\u0626\u062a\u0647\u0627\u060c \u0648\u0644\u0643\u0646\u0647\u0627 \u062a\u0643\u0648\u0646 <strong>\u0645\u062a\u0637\u0631\u0641\u0629 \u0645\u0637\u0644\u0642\u0629<\/strong> \u0639\u0646\u062f\u0645\u0627 \u062a\u0645\u062b\u0644 \u0623\u0643\u0628\u0631 \u0623\u0648 \u0623\u0635\u063a\u0631 \u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/maximums-et-minimums-d-une-fonction.webp\" alt=\"\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629\" class=\"wp-image-2437\" width=\"512\" height=\"420\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062f\u0631\u0627\u0633\u0629 <strong>\u0646\u0645\u0648 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0648\u0627\u0646\u062e\u0641\u0627\u0636\u0647\u0627<\/strong> :<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0642\u0637\u0629 \u0647\u064a <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/strong> \u0639\u0646\u062f\u0645\u0627 \u062a\u0646\u062a\u0642\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0646\u0627\u0642\u0635.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0642\u0637\u0629 \u0647\u064a <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/strong> \u0639\u0646\u062f\u0645\u0627 \u062a\u0646\u062a\u0642\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u062a\u0646\u0627\u0642\u0635 \u0625\u0644\u0649 \u0627\u0644\u0632\u064a\u0627\u062f\u0629. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"como-hallar-los-maximos-y-minimos-de-una-funcion\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0648\u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u062d\u062f \u0623\u0642\u0635\u0649 \u0646\u0633\u0628\u064a \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0648\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0647\u064a \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0646\u0633\u0628\u064a\u0629 \u0623\u0648 \u0642\u064a\u0645\u0629 \u0635\u063a\u0631\u0649 \u0646\u0633\u0628\u064a\u0629: <\/p>\n<div style=\"background-color:#FFF3E0; padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 10px; border-radius:30px;;text-align:right;direction:rtl\">\n<ul style=\"color:#64B5F6; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 <strong>\u062d\u062f \u0623\u0642\u0635\u0649 \u0628\u0627\u0644\u0646\u0633\u0628\u0629<\/strong> \u0644\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0645\u0634\u062a\u0642\u062a\u0647\u0627 \u0627\u0644\u0623\u0648\u0644\u0649.<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6dcc4b4bb7f26cf48a025c8e0dddf83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(a)=0 \\quad \\bm{\\longrightarrow} \\quad x=a \\text{ es un extremo relativo}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"357\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0648\u062a\u062d\u062f\u062f \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0635\u063a\u0631\u0649:<\/span>\n<ul style=\"color:#64B5F6; font-weight: bold; margin-left:7%; list-style-type:circle;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:10px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0633\u0627\u0644\u0628\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 <strong>\u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0646\u0633\u0628\u064a\u0629<\/strong> \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-211c91be3bfe6e5a91f048684198c70a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(a)<0 \\quad \\bm{\\longrightarrow} \\quad x=a \\text{ es un m\\'aximo relativo}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"360\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:10px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u0648\u062c\u0628\u0629\u060c \u064a\u0643\u0648\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 <strong>\u0642\u064a\u0645\u0629 \u0635\u063a\u0631\u0649 \u0646\u0633\u0628\u064a\u0629<\/strong> \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/span> <\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-089b7ae49fe440e3b4db19e0b17d8815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(a)>0 \\quad \\bm{\\longrightarrow} \\quad x=a \\text{ es un m\\&#8217;inimo relativo}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;356&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-1-como-calcular-los-maximos-y-minimos-de-una-funcion\"><\/span> \u0645\u062b\u0627\u0644 1: \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0623\u0646 \u0631\u0623\u064a\u0646\u0627 \u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0633\u0646\u062d\u0644 \u0645\u062b\u0627\u0644\u064b\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0642\u0635\u0648\u0649 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0648\u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u064b\u0627 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0635\u063a\u0631\u0649:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d76dfe92202a4fa44057a7f4576c97a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3-3x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0648\u0638\u064a\u0641\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u064f\u0631\u0636\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u0644\u0630\u0644\u0643\u060c \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cad79f4ba702585c8bece2546419bd83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3-3x \\ \\longrightarrow \\ f'(x)=3x^2-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"287\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062c\u0639\u0644 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631 \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02ff903613a3329eb87c4943c4cb135b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2-3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-af1930d8be7faaf020a4103a17e484b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2=3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"59\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e8367eba5249bf4e7b1e395d86bb91be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=\\cfrac{3}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"52\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-959000af33497314f9a59a9bed2a19c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f0428d6e7e3932e00d3e6a7ab1a779d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a x=+1 \u0648x=-1.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 \u0627\u0644\u0646\u0633\u0628\u064a\u062a\u064a\u0646 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0642\u064a\u0645\u0629 \u0635\u063a\u0631\u0649 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a2a906b229d6f4d4d03f59828f327fdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3x^2-3 \\ \\longrightarrow \\ f''(x)=6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0641\u064a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0627\u0644\u062a\u064a \u0648\u062c\u062f\u0646\u0627\u0647\u0627 \u0645\u0646 \u0642\u0628\u0644 \u0644\u0646\u0639\u0631\u0641 \u0647\u0644 \u0647\u064a \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0635\u063a\u0631\u0649 \u0646\u0633\u0628\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb0c79376c0c8816492173e5f109809f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(1)=6\\cdot 1 = 6 \\ \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d51f54d437345293be122b03b5fff03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(-1)=6\\cdot (-1) = -6 \\ \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0646\u062f x=1 \u0645\u0648\u062c\u0628\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=1 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/strong> . \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0646\u062f x=-1 \u0633\u0627\u0644\u0628\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=-1 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a Y \u0644\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-65771f8b9ce10ad863604fe6e6dca867_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^3-3\\cdot 1=-2 \\ \\longrightarrow \\ (1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-04df1e45775b1318795100d7211f3b32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=(-1)^3-3\\cdot(-1)= 2 \\ \\longrightarrow \\ (-1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"330\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0646\u0642\u0637\u0629<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80e956c137aedb103a56acc0cf510e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(1,-2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629<\/strong> <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-92defeed12f15814813d53b8a24be9ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-1,2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-2-estudiar-la-monotonia-y-los-maximos-y-minimos-de-una-funcion\"><\/span> \u0645\u062b\u0627\u0644 2: \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0631\u062a\u0627\u0628\u0629 \u0648\u0627\u0644\u0639\u0638\u0645\u0649 \u0648\u0627\u0644\u0635\u063a\u0631\u0649 \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0644 \u0646\u0648\u0639 \u0622\u062e\u0631 \u0645\u0646 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0645\u0646 \u0631\u062a\u0627\u0628\u0629 \u0627\u0644\u062f\u0627\u0644\u0629.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0631\u062a\u0627\u0628\u0629 \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb173dfd702785865be0051c9bcb7738_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^2}{x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062c\u0628 \u0641\u0639\u0644\u0647 \u0647\u0648 \u062d\u0633\u0627\u0628 \u0645\u062c\u0627\u0644 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629. \u0643\u0648\u0646\u0647\u0627 \u062f\u0627\u0644\u0629 \u0639\u0642\u0644\u0627\u0646\u064a\u0629\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062c\u0639\u0644 \u0627\u0644\u0645\u0642\u0627\u0645 \u064a\u0633\u0627\u0648\u064a 0 \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062a\u064a \u0644\u0627 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a57ca6c48b6f646aeb64eb7f05e4840_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"73\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66d11e82f81cd2425ea2e6641e374baf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= \\mathbb{R}-\\{1 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062d\u0633\u0628 \u0645\u062c\u0627\u0644 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0639\u0644\u064a\u0646\u0627 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0623\u0648\u0644\u0649. \u0644\u0630\u0644\u0643 \u0646\u0633\u062a\u0646\u062a\u062c \u0627\u0644\u062f\u0627\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19cfa0164864d95d9b2d51743bf7c0d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^2}{x-1} \\ \\longrightarrow \\ f'(x)= \\cfrac{2x\\cdot (x-1) - x^2\\cdot 1}{\\left(x-1\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"364\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a280e333342dbe57e5d18839a1c9c0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{2x^2-2x - x^2}{\\left(x-1\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"172\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c77f1f797549bb4663fca07fcea2302_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{x^2-2x}{\\left(x-1\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"128\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062c\u0639\u0644 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u062a\u0633\u0627\u0648\u064a 0 \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-faf06fb85062e758f99800d1ffa0788b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2-2x}{\\left(x-1\\right)^2}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"95\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc1f4cc53676f0eb98290b3478031fef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x-1\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"60\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u064a\u062a\u0636\u0645\u0646 \u0630\u0644\u0643 \u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0628\u0623\u0643\u0645\u0644\u0647\u060c \u062d\u062a\u0649 \u0646\u062a\u0645\u0643\u0646 \u0645\u0646 \u0636\u0631\u0628\u0647 \u0641\u064a \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646 \u0628\u0623\u0643\u0645\u0644\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d8bb0359e60db0b26d9bfce1b349e9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-2x=0\\cdot \\left(x-1\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62138ee9fb8dc604ee836f1703379032_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-2x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u062e\u0631\u062c \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b243129a0d8853ec8716beb6d2d5c504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(x-2)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u064a\u0643\u0648\u0646 \u0627\u0644\u0636\u0631\u0628 \u064a\u0633\u0627\u0648\u064a 0\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0623\u062d\u062f \u0639\u0646\u0635\u0631\u064a \u0627\u0644\u0636\u0631\u0628 \u0635\u0641\u0631\u0627\u064b. \u0644\u0630\u0644\u0643 \u0646\u062c\u0639\u0644 \u0643\u0644 \u0639\u0627\u0645\u0644 \u064a\u0633\u0627\u0648\u064a 0 \u0648\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u062d\u0644\u064a\u0646 \u0644\u0644\u0645\u0639\u0627\u062f\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55127e675ce8f7742db17d565c2ae507_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x\\cdot(x-2) =0   \\longrightarrow  \\begin{cases} \\bm{x=0} \\\\[2ex] x-2=0 \\ \\longrightarrow \\ \\bm{x= 2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"329\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062d\u0633\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0648<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u060c \u0646\u062d\u0646 \u0646\u0645\u062b\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062d\u0631\u062c\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u0633\u0637\u0631: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/ligne-numerique-0-1-2.webp\" alt=\"\" class=\"wp-image-2443\" width=\"399\" height=\"77\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0633\u0628 \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0641\u064a \u0643\u0644 \u0641\u062a\u0631\u0629 \u0644\u0646\u0639\u0631\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0632\u064a\u062f \u0623\u0645 \u062a\u0646\u0642\u0635. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0623\u062e\u0630 \u0646\u0642\u0637\u0629 \u0641\u064a \u0643\u0644 \u0641\u062a\u0631\u0629 (\u0648\u0644\u064a\u0633 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062d\u0631\u062c\u0629 \u0623\u0628\u062f\u064b\u0627) \u0648\u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u062a\u064a \u064a\u062d\u0645\u0644\u0647\u0627 \u0627\u0644\u0645\u0634\u062a\u0642 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c77f1f797549bb4663fca07fcea2302_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{x^2-2x}{\\left(x-1\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"128\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-171fa182722405650545d6e7fe14d5b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(-1) = \\cfrac{(-1)^2-2(-1)}{\\left((-1)-1\\right)^2} =\\cfrac{+3}{+4} = +0,75 \\  \\rightarrow \\ \\bm{+}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"369\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84e1013672adc10e9447af5478f592a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(0,5) = \\cfrac{0,5^2-2\\cdot0,5}{\\left(0,5-1\\right)^2} = \\cfrac{-0,75}{+0,25} = -3  \\  \\rightarrow \\ \\bm{-}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"363\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-110911aebecc81132e3d726e00be1fcc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(1,5) = \\cfrac{1,5^2-2\\cdot1,5}{\\left(1,5-1\\right)^2} = \\cfrac{-0,75}{+0,25} = -3  \\  \\rightarrow \\ \\bm{-}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"363\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0a995a54cd7d661f6431cdc3d0d0eda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(3) = \\cfrac{3^2-2\\cdot3}{\\left(3-1\\right)^2} =\\cfrac{+3}{+4} = +0,75 \\  \\rightarrow \\ \\bm{+}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"313\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/ligne-numerique-0-1-2-positif-negatif-positif.webp\" alt=\"\" class=\"wp-image-2444\" width=\"400\" height=\"138\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0645\u0648\u062c\u0628\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u0632\u0627\u064a\u062f\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0633\u0627\u0644\u0628\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u0646\u0627\u0642\u0635. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u0646\u0645\u0648 \u0648\u0627\u0644\u0627\u0646\u062e\u0641\u0627\u0636 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0646\u0645\u0648:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-11ebeca24ba262661dd73042a326110c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-\\infty, 0)\\cup (2,+\\infty)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u064a\u0646\u0642\u0635:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-206ab3f38b17a58b25209bf269265919_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,1)\\cup (1,2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0639\u0646\u062f x=0\u060c \u062a\u0646\u062a\u0642\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0646\u0627\u0642\u0635\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=0 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629 <strong>.<\/strong> \u0648\u0639\u0646\u062f x=2\u060c \u062a\u0646\u062a\u0642\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u062a\u0646\u0627\u0642\u0635 \u0625\u0644\u0649 \u0627\u0644\u0632\u064a\u0627\u062f\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=2 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0646\u0633\u0628\u064a<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0625\u062d\u062f\u0627\u062b\u064a Y \u0644\u0644\u0646\u0647\u0627\u064a\u0627\u062a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8bb02550f4c83abce02040f9e9ab495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=\\cfrac{0^2}{0-1} = \\cfrac{0}{-1} = 0 \\ \\longrightarrow \\ (0,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"268\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74333ede5561c728c68899d68b31ee62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=\\cfrac{2^2}{2-1} = \\cfrac{4}{1} = 4 \\ \\longrightarrow \\ (2,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"254\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c790019bd70403eba876c59c82c0f9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0646\u0642\u0637\u0629<\/strong> <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a59b564601b4cd9f2bc149baa80c44a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(2,4)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-maximos-y-minimos-de-una-funcion\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0639\u0638\u0645\u0649 \u0648\u0627\u0644\u0635\u063a\u0631\u0649 \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0648\u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u064b\u0627 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0635\u063a\u0631\u0649: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-930d724a5ca23ed9152211f24dc2340b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3-3x^2-9x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u064a\u0643\u0648\u0646 \u0639\u0646\u062f\u0647\u0627 \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u0623\u0648\u0644 \u0644\u0644\u062f\u0627\u0644\u0629 \u064a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f353678aff2ff5f19c53042f35ef8a19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3-3x^2-9x \\ \\longrightarrow \\  f'(x)=3x^2-6x-9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"376\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-58dcd049349f740f082d583dfd9e364c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77ac7ac1a36d5c8591235d8400eb68cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2-6x-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"131\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062f\u064a\u0646\u0627 \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0644\u0630\u0644\u0643 \u0646\u0637\u0628\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u062d\u0644\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e4a1d5ede3779d54c8b9b66571a3394_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} x &amp;=\\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a} =\\cfrac{-(-6) \\pm \\sqrt{(-6)^2-4\\cdot 3 \\cdot (-9)}}{2\\cdot 3}=\\\\[1.5ex]&amp;=\\cfrac{6 \\pm \\sqrt{144}}{6}=\\cfrac{6 \\pm 12}{6} =\\begin{cases} \\cfrac{6 + 12}{6}=\\cfrac{18}{6}= 3 \\\\[4ex] \\cfrac{6 - 12}{6}=\\cfrac{-6}{6}=-1 \\end{cases} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"168\" width=\"451\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0637\u062a\u0627\u0646 x=3 \u0648x=-1.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 \u0627\u0644\u0646\u0633\u0628\u064a\u062a\u064a\u0646 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0642\u064a\u0645\u0629 \u0635\u063a\u0631\u0649 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629. \u0644\u0630\u0644\u0643 \u0646\u0641\u0631\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2ddaaae5740b93b84eb1db4c4e12f69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3x^2-6x-9 \\ \\longrightarrow \\  f''(x)=6x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"327\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062d\u0633\u0628\u0646\u0627\u0647\u0627 \u0645\u0646 \u0642\u0628\u0644 \u0641\u064a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b97f883eb74286ab41179d4353161816_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(3)=6(3)-6=18-6 = +12 \\ \\longrightarrow \\ \\text{M\\'inimo}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b6efbeb4ad4b54c03aa440dcafb7dc4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(-1)=6(-1)-6=-6-6 = -12 \\ \\longrightarrow \\ \\text{M\\'aximo}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"400\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0646\u062f x=3 \u0645\u0648\u062c\u0628\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=3 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649<\/strong> . \u0648\u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0646\u062f x=-1 \u0633\u0627\u0644\u0628\u060c \u0644\u0630\u0627 <strong>x=-1 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0625\u062d\u062f\u0627\u062b\u064a Y \u0644\u0644\u0646\u0647\u0627\u064a\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b885b81db85c9d12caeed0e046f14ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=3^3-3\\cdot 3^2-9\\cdot3=-27 \\ \\longrightarrow \\ (3,-27)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"353\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-668346639ebe571949cd8e8939c8a4a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=(-1)^3-3(-1)^2-9(-1)=5 \\ \\longrightarrow \\ (-1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"392\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0646\u0642\u0637\u0629<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b572e4ffbdfe59c16e4e1a30b9ac82a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(3,-27)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0646\u0642\u0637\u0629<\/strong> <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c7aca1cad23e01f6998ce87ff4f73734_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-1,5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0648\u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u064b\u0627 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0635\u063a\u0631\u0649: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e82a7f154d9620b6fdcd2d134cbf20a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^x(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u060c \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u0627\u0644\u0645\u0646\u062a\u062c: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5508d7a8f5ef73fd09e2c8a013513229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=e^x\\cdot (x-1)+ e^x\\cdot 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"206\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6d1f83cd5953e56070c9f8dea5a03ea5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=xe^x -e^x +e^x = xe^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"216\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-58dcd049349f740f082d583dfd9e364c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9da9b4b19b1c7985bf785b693009de95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"xe^x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5c0d99b3aa4115c0415e0e57f5df2a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x\\cdot e^x =0 \\longrightarrow \\begin{cases} \\bm{x=0} \\\\[2ex] e^x=0 \\ \\color{red}\\bm{\\times} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"220\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0622\u062e\u0631 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0624\u062f\u064a \u0623\u0628\u062f\u064b\u0627 \u0625\u0644\u0649 0. \u0644\u0630\u0644\u0643\u060c<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0108040ee23df4da2db681c9ffb2decc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e^x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u064a\u0633 \u0644\u0647 \u062d\u0644 \u0648\u0627\u0644\u0645\u062a\u0637\u0631\u0641 \u0627\u0644\u0646\u0633\u0628\u064a \u0627\u0644\u0648\u062d\u064a\u062f \u0647\u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0644\u0646\u0639\u0644\u0645 \u0623\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0627\u0644\u0646\u0633\u0628\u064a \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0623\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e3186824ec757b18335f7c6b93e6068_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)= xe^x \\ \\longrightarrow \\ f''(x)= 1\\cdot e^x + x \\cdot e^x = e^x+xe^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"394\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0641\u064a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0642\u0635\u0648\u0649 \u0627\u0644\u062a\u064a \u0648\u062c\u062f\u0646\u0627\u0647\u0627 \u0645\u0646 \u0642\u0628\u0644\u060c \u0644\u0646\u0631\u0649 \u0647\u0644 \u0647\u064a \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0623\u0645 \u0635\u063a\u0631\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a333c6f36d372595070b5cf10ef06659_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f''(0)= e^{0}+0\\cdot e^{0} = 1+0\\cdot 1 = 1 \\ \\longrightarrow \\ \\text{M\\'inimo}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"368\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0646\u062f x=0 \u0645\u0648\u062c\u0628\u060c <strong>\u0641\u0625\u0646 x=0 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0646\u0633\u0628\u064a \u0623\u0648 \u0627\u0644\u0645\u062d\u0644\u064a<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0625\u062d\u062f\u0627\u062b\u064a \u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0622\u062e\u0631:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b262d8c03601983b5497fc165bab677a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=e^{0}(0-1) =1\\cdot (-1)=-1 \\ \\longrightarrow \\ (0,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"357\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0627\u0644\u0646\u0633\u0628\u064a \u0627\u0644\u0648\u062d\u064a\u062f \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0646\u0642\u0637\u0629<\/strong> <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-737e35e6d1698a9e89986af90d34722e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062f\u0631\u0633 \u0627\u0644\u0631\u062a\u0627\u0628\u0629 \u0648\u0627\u0628\u062d\u062b \u0639\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03ea07dcfe35eeade4235b3325681c2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{x -1 }{x^2+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"109\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u060c \u0646\u062d\u062f\u062f \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062c\u0639\u0644 \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631 \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13670326c7cf3ae27c79e8e2ea4f438b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+1 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"81\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0639\u0628\u064a\u0631<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b35b5141a240a76c5fc0e3c75ab5689d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u0644\u0646 \u062a\u0643\u0648\u0646 0 \u0623\u0628\u062f\u064b\u0627\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0646\u062a\u064a\u062c\u0629 x <sup>2<\/sup> \u0633\u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0631\u0642\u0645\u064b\u0627 \u0645\u0648\u062c\u0628\u064b\u0627 \u0623\u0648 0. \u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0625\u0636\u0627\u0641\u0629 1 \u0644\u0646 \u064a\u0639\u0637\u064a 0 \u0623\u0628\u062f\u064b\u0627. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u064a\u062a\u0643\u0648\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0623\u0631\u0642\u0627\u0645 \u062d\u0642\u064a\u0642\u064a\u0629 \u0641\u0642\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f565027fd5d2a4381e3a23d183c9f76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0646\u062f\u0631\u0633 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0644\u062a\u0642\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d9516fab46f301bc09e336a12418ad4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0646\u062d\u0646 \u0646\u0641\u0631\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0642\u0633\u0645\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a21eceaf556455939314d569b69f365_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x -1 }{x^2+1} \\ \\longrightarrow \\ f'(x)= \\cfrac{1 \\cdot (x^2+1) - (x-1) \\cdot 2x }{\\left(x^2+1}\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"415\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6104d51f83e54587e198db396734fec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)= \\cfrac{x^2+1-(2x^2-2x)}{\\left(x^2+1\\right)^2} = \\cfrac{x^2+1-2x^2+2x}{\\left(x^2+1\\right)^2}= \\cfrac{-x^2+2x+1}{\\left(x^2+1\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"515\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062c\u0639\u0644 \u0627\u0644\u0645\u0634\u062a\u0642 \u064a\u0633\u0627\u0648\u064a 0 \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4890b9dfeb634c4d7a349351be73b5d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-501383d3407e95ff1980351452e414f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-x^2+2x+1}{\\left(x^2+1\\right)^2}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"143\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-348057b71ce15780c2f47bd8053e4cd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x^2+2x+1=0\\cdot \\left(x^2+1\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"219\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-579207dec3599e2925ad24d2e951cb47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x^2+2x+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"134\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062f\u064a\u0646\u0627 \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0644\u0630\u0644\u0643 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u062d\u0644\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-836d878f15098c1fe997fbb0392b8733_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}x &amp;=\\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a} =\\cfrac{-2 \\pm \\sqrt{2^2-4\\cdot (-1) \\cdot 1}}{2\\cdot (-1)} = \\\\[1.5ex]&amp;=\\cfrac{-2 \\pm \\sqrt{8}}{-2} =\\begin{cases} \\cfrac{-2 + \\sqrt{8}}{-2}= -0,41 \\\\[4ex] \\cfrac{-2 - \\sqrt{8}}{-2}= 2,41\\end{cases} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"174\" width=\"396\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062d\u0633\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0648<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36700780d306ccf4975387990b1949fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0645\u062b\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0641\u0631\u062f\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u062e\u0637 \u0627\u0644\u0623\u0639\u062f\u0627\u062f: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/number-line-041-241.webp\" alt=\"\" class=\"wp-image-2451\" width=\"319\" height=\"83\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u0648\u062c\u062f \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0641\u064a \u0643\u0644 \u0641\u062a\u0631\u0629 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0632\u0627\u064a\u062f\u064a\u0629 \u0623\u0645 \u062a\u0646\u0627\u0642\u0635\u064a\u0629. \u0644\u0630\u0644\u0643 \u0646\u0623\u062e\u0630 \u0646\u0642\u0637\u0629 \u0641\u064a \u0643\u0644 \u0641\u062a\u0631\u0629 (\u0648\u0644\u064a\u0633 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0641\u0631\u062f\u0629 \u0623\u0628\u062f\u064b\u0627) \u0648\u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u062a\u064a \u064a\u062d\u0645\u0644\u0647\u0627 \u0627\u0644\u0645\u0634\u062a\u0642 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c9e9690a2834e9ba455ebe711bfba4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(-1)= \\cfrac{-(-1)^2+2(-1)+1}{\\left((-1)^2+1\\right)^2}}= \\cfrac{-2}{+4} =-0,5 \\ \\rightarrow \\ \\bm{-}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"412\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c280aa192cd61431df6a1ade0389ed2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(0)= \\cfrac{-0^2+2(0)+1}{\\left(0^2+1\\right)^2}}= \\cfrac{+1}{+1} =+1 \\ \\rightarrow \\ \\bm{+}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"340\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b40b424c7a763aa9849f33d850a10a1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(3)= \\cfrac{-3^2+2\\cdot 3+1}{\\left(3^2+1\\right)^2}}= \\cfrac{-2}{+100} =-0,02 \\ \\rightarrow \\ \\bm{-}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"375\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/ligne-numerique-041-241-negatif-positif-negatif.webp\" alt=\"\" class=\"wp-image-2453\" width=\"319\" height=\"150\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0645\u0648\u062c\u0628\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u0632\u0627\u064a\u062f \u0641\u064a \u062a\u0644\u0643 \u0627\u0644\u0641\u062a\u0631\u0629\u060c \u0648\u0644\u0643\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0633\u0627\u0644\u0628\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u0646\u0627\u0642\u0635. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u0646\u0645\u0648 \u0648\u0627\u0644\u0627\u0646\u062e\u0641\u0627\u0636 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0646\u0645\u0648:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-262e8d5f95ee4afe2dacc0037d8f334c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-0,41 \\ , \\ 2,41)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u064a\u0646\u0642\u0635:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33c3a6bfd3dbfbdd2eff5fc4b70aea5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-\\infty \\ , \\ -0,41)\\cup (2,41 \\ , \\ +\\infty)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062a\u063a\u064a\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u062a\u0646\u0627\u0642\u0635 \u0625\u0644\u0649 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0639\u0646\u062f x=-0.41\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=-0.41 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0627\u0644\u0645\u062d\u0644\u064a<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629. \u0648\u062a\u0646\u062a\u0642\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0646\u0627\u0642\u0635 \u0639\u0646\u062f x=2.41\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=2.41 \u0647\u064a \u0642\u064a\u0645\u0629 \u0639\u0638\u0645\u0649 \u0645\u062d\u0644\u064a\u0629<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0648\u0636 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0642\u0635\u0648\u0649 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a Y \u0644\u0644\u0646\u0642\u0627\u0637: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-605a64bba8103c7ee0015a92b60273b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-0,41)=\\cfrac{-0,41 -1 }{(-0,41)^2+1} = \\cfrac{-1,41}{1,17}= -1,21 \\ \\longrightarrow \\ (-0,41 \\ , \\ -1,21)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"532\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02ff38a48dc66cf3a658619cf41803c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2,41)=\\cfrac{2,41 -1 }{2,41^2+1} = \\cfrac{1,41}{6,81}= 0,21 \\ \\longrightarrow \\ (2,41 \\ , \\ 0,21)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"427\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0648\u0638\u064a\u0641\u0629 \u0647\u064a:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0646\u0642\u0637\u0629<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-906261d9a75f4bc2766c65fc0ac5a363_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-0,41 \\ , \\ -1,21)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"128\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629<\/strong> <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf7380f280bd665935068801c9c0d83d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{ (2,41 \\ , \\ 0,21)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0639\u0644\u0645 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc79cbc1c7886fe5d95d2db47d1635f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+ax+b\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u062a\u0645\u0631 \u0639\u0628\u0631 \u0627\u0644\u0646\u0642\u0637\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f97f2fdc4d62902377daa83ebbd005b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0644\u0647\u0627 \u062a\u0637\u0631\u0641 \u0646\u0633\u0628\u064a \u0641\u064a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d8c9d56ee018947d8f054cd237e8c06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u062a\u062d\u062f\u064a\u062f \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u064a\u0646<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0642\u064a\u0645\u0629 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73a3ea89ad967f2efadeb096bd87bdb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062f\u0639 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0644\u0647\u0627 \u062d\u062f \u0646\u0633\u0628\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee848c4f59793dbd8bd705b4e2411c8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u062a\u0645 \u0625\u0646\u062c\u0627\u0632\u0647<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f57b701a1080acd4db5681249566b5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(-1)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0633\u0628 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee848c4f59793dbd8bd705b4e2411c8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0646\u062c\u0639\u0644\u0647\u0627 \u062a\u0633\u0627\u0648\u064a 0: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41316f1389c40d8634eb0ad596956ca2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^2+ax+b \\ \\longrightarrow \\ f'(x)=2x+a\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"309\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1786074f9a3b69a0c2a13a0db7a67895_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} f'(-1)=2(-1)+a\\\\[2ex] f'(-1)=0\\end{array} \\right\\} \\longrightarrow 2(-1)+a=0\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"323\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0644\u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 \u0623: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5e35d6b05179bb3e4db43f738b6da29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2(-1)+a=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-729fe80252784c84b2a49624e59b2ac7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2+a=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-85d78ced37b5f76e83a3c9c24a8b3eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{a=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bbea1a44d5027753ebc196d004e5671d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+ax+b \\ \\xrightarrow{a \\ = \\ 2} \\ f(x)=x^2+2x+b\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"362\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u064a\u062e\u0628\u0631\u0648\u0646\u0646\u0627 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0645\u0631 \u0639\u0628\u0631 \u0627\u0644\u0646\u0642\u0637\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-702446e4df1457eff7e83e00a8709824_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,-2) .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u0630\u0627 \u0644\u0623\u0642\u0648\u0644\u060c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-304a45b518ffaec62b95f169ad647688_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=-2 .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0647\u0630\u0627 \u0627\u0644\u0634\u0631\u0637 \u0644\u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 b:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c09bb57a4a4fd3eb5d72f5d35d3c539_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} f(1)=1^2+2\\cdot1+b \\\\[2ex] f(1)=-2 \\end{array} \\right\\} \\longrightarrow 1^2+2\\cdot 1+b = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"361\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0644\u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 b: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e05b252664d0ea2da72627e779469d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1^2+2\\cdot1+b=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"143\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-626f95581121d205b149c2323e711759_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+2+b=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"113\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-625149278867f4929d813258055868e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=-2-1-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"114\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e925fb7c5eaa30caa970c92688ede93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{b=-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"53\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2becf12662d9dc5f68cb13dd248f3e51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2x+b \\ \\xrightarrow{b \\ = \\ -5} \\ f(x)=x^2+2x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"371\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u0643\u062a\u0634\u0641 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0646\u0634\u0631\u062d\u0647\u0627 \u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062d\u0644 \u0645\u062b\u0627\u0644\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0648\u0638\u064a\u0641\u0629. \u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u0648\u0638\u064a\u0641\u0629\u061f \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u0623\u0643\u0628\u0631 \u0642\u064a\u0645 \u0644\u0644\u062f\u0627\u0644\u0629 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d9%82%d8%b5%d9%89-%d9%88%d8%a7%d9%84%d8%ad%d8%af-%d8%a7%d9%84%d8%a3%d8%af%d9%86%d9%89-%d9%84%d9%84%d8%af%d8%a7%d9%84%d8%a9-%d8%a7%d9%84%d8%ad%d8%af%d9%88\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629 (\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0646\u0633\u0628\u064a\u0629)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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