{"id":34,"date":"2023-09-17T11:02:40","date_gmt":"2023-09-17T11:02:40","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%a7%d9%84%d8%b8%d9%84\/"},"modified":"2023-09-17T11:02:40","modified_gmt":"2023-09-17T11:02:40","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%a7%d9%84%d8%b8%d9%84","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%a7%d9%84%d8%b8%d9%84\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u0638\u0644"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0645\u0645\u0627\u0633 \u0648\u062d\u062a\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0631\u0636 \u0623\u064a\u0636\u064b\u0627 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644 \u0648\u0646\u0648\u0636\u062d \u0644\u0643 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644 \u0627\u0644\u0639\u0643\u0633\u064a. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-de-la-tangente\"><\/span> \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0627\u0644\u0638\u0644\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u0638\u0644 x \u064a\u0633\u0627\u0648\u064a 1 \u0639\u0644\u0649 \u0645\u0631\u0628\u0639 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x.<\/strong> \u0645\u0634\u062a\u0642 \u0638\u0644 x \u064a\u0643\u0627\u0641\u0626 \u0623\u064a\u0636\u064b\u0627 \u0645\u0631\u0628\u0639 \u0642\u0627\u0637\u0639 x\u060c \u06481 \u0632\u0627\u0626\u062f \u0645\u0631\u0628\u0639 \u0638\u0644 x.<\/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-dfb81626a982a908c4e517b1ecb748e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{tan}(x)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\color{black}\\\\ f'(x)=\\cfrac{1}{\\text{cos}^2(x)}=\\text{sec}^2(x)=1+\\text{tan}^2(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"308\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0645\u062a\u0643\u0627\u0641\u0626\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644 \u0644\u0647\u0627 \u062b\u0644\u0627\u062b \u0635\u064a\u063a \u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627 \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u0638\u0644 \u062f\u0627\u0644\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 x (\u062f\u0639\u0646\u0627 \u0646\u0633\u0645\u064a\u0647\u0627 u)\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629. \u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0638\u0644 u \u0647\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-1ad272ab857ecf57ebc79e68a4370fc5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{tan}(u)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\color{black}\\\\ f'(x)=\\cfrac{u'}{\\text{cos}^2(u)}=\\text{sec}^2(u)\\cdot u'=\\left(1+\\text{tan}^2(u)\\right)\\cdot u'\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"380\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u064a\u0645\u0643\u0646 \u062a\u0644\u062e\u064a\u0635 \u0642\u0627\u0639\u062f\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: <\/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\/derivee-de-la-tangente.webp\" alt=\"\u0645\u0634\u062a\u0642 \u0627\u0644\u0638\u0644\" class=\"wp-image-1929\" width=\"418\" height=\"365\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-tangente\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0638\u0644<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644\u060c \u0633\u0646\u062d\u0644 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u062d\u062a\u0649 \u062a\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-la-tangente-de-2x\"><\/span> \u0645\u062b\u0627\u0644 1: \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 2x<span class=\"ez-toc-section-end\"><\/span><\/h3>\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-f238988096540344626a3079f65a0753_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0645\u0645\u0627\u0633\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u062d\u062f\u0649 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062b\u0644\u0627\u062b \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0623\u0639\u0644\u0627\u0647. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645:<\/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-47c1f81edd8b591f33ab986d4de73a34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\text{cos}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"387\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062f\u0627\u0644\u0629 2x \u062e\u0637\u064a\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u062a\u0647\u0627 \u0647\u064a 2. \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0638\u0644 2x \u0647\u0648 2 \u0639\u0644\u0649 \u0645\u0631\u0628\u0639 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 2x: <\/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-e18c22b2cabb93a6081363bc618840b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(2x)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2}{\\text{cos}^2(2x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"405\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-la-tangente-de-x-al-cuadrado\"><\/span> \u0645\u062b\u0627\u0644 2: \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 x \u062a\u0631\u0628\u064a\u0639<span class=\"ez-toc-section-end\"><\/span><\/h3>\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-9c6defebe72239c5288ece20976d9a50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u062f\u0627\u0644\u0629 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u0638\u0644 \u0644\u064a\u0633\u062a x\u060c \u0648\u0644\u0643\u0646\u0647\u0627 \u062f\u0627\u0644\u0629 \u0628\u0645\u0634\u062a\u0642\u0629. \u0648\u0647\u0648 \u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0646\u0627 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642\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-47c1f81edd8b591f33ab986d4de73a34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\text{cos}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"387\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0634\u062a\u0642\u0629 x \u062a\u0631\u0628\u064a\u0639 \u0647\u064a 2x\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 x <sup>2<\/sup> \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-111ca482f4c688c676c10b2ed80d6567_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{\\text{cos}^2(x^2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"403\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-la-tangente-al-cubo\"><\/span> \u0645\u062b\u0627\u0644 3: \u0645\u0634\u062a\u0642\u0629 \u0645\u0645\u0627\u0633 \u0627\u0644\u0645\u0643\u0639\u0628<span class=\"ez-toc-section-end\"><\/span><\/h3>\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-a70568c32830f1f20ab7a5885bf999ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}^3(9x^2-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0633\u0623\u0644\u0629 \u0644\u062f\u064a\u0646\u0627 \u062f\u0627\u0644\u0629 \u0645\u0631\u0643\u0628\u0629\u060c \u0644\u0630\u0627 \u0633\u0646\u062d\u062a\u0627\u062c \u0623\u064a\u0636\u064b\u0627 \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0645\u0645\u0627\u0633.<\/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-47c1f81edd8b591f33ab986d4de73a34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\text{cos}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"387\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u0631\u0641\u0639 \u0627\u0644\u0638\u0644 \u0625\u0644\u0649 \u0627\u0644\u0642\u0648\u0629 3\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0642\u0628\u0644 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0642\u0648\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-424a7372a1d97a5c17a86d6253666164_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=3\\text{tan}^2(9x^2-4x)\\cdot \\cfrac{18x-4}{\\text{cos}^2(9x^2-4x)} \\\\[2ex]&amp;=\\cfrac{3\\text{tan}^2(9x^2-4x)\\cdot(18x-4)}{\\text{cos}^2(9x^2-4x)}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"314\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"derivada-de-la-tangente-inversa\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u0638\u0644 \u0627\u0644\u0639\u0643\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0644 \u0623\u064a \u062f\u0627\u0644\u0629 \u0639\u0643\u0633\u064a\u0629\u060c \u0641\u0625\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644 \u0644\u0647\u0627 \u0623\u064a\u0636\u064b\u0627 \u0645\u0639\u0643\u0648\u0633\u060c \u0648\u0647\u064a \u062f\u0627\u0644\u0629 \u0638\u0644 \u0642\u0648\u0633\u064a\u0629. \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0635\u064a\u063a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627 \u0644\u064a\u0633\u062a \u0645\u0634\u0627\u0628\u0647\u0629 \u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0638\u0644\u060c \u0625\u0644\u0627 \u0623\u0646\u0646\u0627 \u0646\u0639\u0631\u0636\u0647\u0627 \u0644\u0643 \u0644\u0623\u0646\u0647\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0641\u064a\u062f\u0629 \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u062d\u0627\u0644\u0627\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0645\u0645\u0627\u0633 \u0627\u0644\u0639\u0643\u0633\u064a<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0648\u0627\u062d\u062f \u0632\u0627\u0626\u062f \u062a\u0631\u0628\u064a\u0639 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\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-d26f5f19ebcdab218e6d1924e18845f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}^{-1}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"398\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0645\u0645\u0627\u0633 \u0627\u0644\u0639\u0643\u0633\u064a \u0644\u0640 3x \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-bdabf1792179bdd9281695a65dcd0912_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tan}^{-1}(3x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{3}{1+(3x)^2}=\\cfrac{3}{1+9x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"513\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-de-la-tangente\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0645\u0645\u0627\u0633<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0634\u062a\u0642\u0629 \u062f\u0648\u0627\u0644 \u0627\u0644\u0638\u0644 \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-e0c187638a259878b3cf6382751c2718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=\\text{tan}(3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" 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-573c097d9cddb7837803e4aceaec362a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=\\text{tan}(x^3-10x^2+8)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" 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-4e140710c7f1fea51f3fe280f30fdb1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } \\displaystyle f(x)=\\text{tan}^2\\left(\\frac{x}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"153\" 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-49b86302e59ffb338f425f4e5a97be89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=\\text{tan}\\left(e^{2x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"151\" 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-4af042cb47d433a0eeff44d9c5349873_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=\\text{tan}\\bigl(\\ln(4x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"171\" 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-21464f892729c58a42f796e0d35f6a89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f(x)=\\text{tan}\\left(\\sqrt{3x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"159\" style=\"vertical-align: -7px;\"><\/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 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-240652ca6b9fbabd52d65974bf3e4793_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=\\cfrac{3}{\\text{cos}^2(3x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"156\" 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-5166bb8a8d3af33cc82165b63e2b6a52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=\\cfrac{3x^2-20x}{\\text{cos}^2(x^3-10x^2+8)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"241\" 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-94a4f0132583e89119dae1b25be65adf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } \\displaystyle f'(x)=2\\text{tan}\\left(\\frac{x}{2}\\right)\\cdot \\frac{1}{\\text{cos}^2\\left(\\frac{x}{2}\\right)}\\cdot \\frac{1}{2}=\\frac{\\text{tan}\\left(\\frac{x}{2}\\right)}{\\text{cos}^2\\left(\\frac{x}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"354\" 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-2d4f13da08be6a975b3e8710f5aee58c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=\\cfrac{2e^{2x}}{\\text{cos}^2(e^{2x})}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"160\" 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-cd7569c56712ac42fa2fe9300d9e4896_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=\\cfrac{\\frac{4}{4x}}{\\text{cos}^2\\bigl(\\ln(4x)\\bigr)}=\\cfrac{1}{x\\cdot\\text{cos}^2\\bigl(\\ln(4x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"329\" 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-9a51deebd15244b70a6917a9ea2a456a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f'(x)=\\cfrac{\\frac{3}{2\\sqrt{3x}}}{\\text{cos}^2\\left(\\sqrt{3x}\\right)}=\\cfrac{3}{2\\sqrt{3x}\\cdot \\text{cos}^2\\left(\\sqrt{3x}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"339\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-de-la-tangente\"><\/span> \u0625\u062b\u0628\u0627\u062a \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0647\u0630\u0627 \u0644\u064a\u0633 \u062a\u0639\u0628\u064a\u0631\u064b\u0627 \u0645\u0628\u062a\u0643\u0631\u064b\u0627\u060c \u0633\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0644\u0638\u0644.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0633\u0646\u0628\u062f\u0623 \u0645\u0646 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637 \u0628\u064a\u0646 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b:<\/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-dbf6d65fa67f0a2161bd99ee7431f015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"124\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627 <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u062d\u0627\u0635\u0644-\u0627\u0644\u0642\u0633\u0645\u0629\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0642\u0633\u0645\u0629<\/a><\/span> \u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0633\u062a\u0643\u0648\u0646: <\/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-334dc33e2ef413b8d99dd7de50cebc74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\left(\\text{tan}(x)\\right)'=\\left(\\frac{\\text{sen}(x)}{\\text{cos}(x)}\\right)'\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"173\" 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-2b05dcbadd57bacdab9a7d4eda718e3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\cfrac{\\text{cos}(x)\\cdot \\text{cos}(x)+\\text{sen}(x)\\text{sen}(x) }{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"308\" 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-cf6fae22356a5ba2fe4f327843c0da81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\cfrac{\\text{cos}^2(x)+\\text{sen}^2(x)}{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"214\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u0646\u0639\u0644\u0645 \u0623\u0646 \u0645\u0631\u0628\u0639 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0645\u0631\u0628\u0639 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 1:<\/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-92d80771f891319379b2e756c5524aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(x)+\\text{cos}^2(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" 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-c737664b7a2ec3456d700d4939c15806_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\cfrac{1}{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"136\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0630\u0644\u0643 \u0646\u0643\u0648\u0646 \u0642\u062f \u062a\u0648\u0635\u0644\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0645\u0645\u0627\u0633. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0642\u0627\u0637\u0639 \u0647\u0648 \u0627\u0644\u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0636\u0627\u0639\u0641 \u0644\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0644\u0630\u0644\u0643 \u064a\u062a\u0645 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062b\u0627\u0646\u064a \u0623\u064a\u0636\u064b\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-41f558939bb7b23e97112acb0630c4bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\text{sec}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0644\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644\u064a\u0629 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0643\u0633\u0631 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0643\u0633\u0648\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-cf6fae22356a5ba2fe4f327843c0da81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\cfrac{\\text{cos}^2(x)+\\text{sen}^2(x)}{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"214\" 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-187bc0e3bc1c35a7dfd18197b94aa845_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\cfrac{\\text{cos}^2(x)}{\\text{cos}^2(x)}+\\cfrac{\\text{sen}^2(x)}{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"216\" 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-257a8cde825ce1b73cf5849d6a387507_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=1+\\text{tan}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0645\u0645\u0627\u0633 \u0648\u062d\u062a\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0639\u0631\u0636 \u0623\u064a\u0636\u064b\u0627 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644 \u0648\u0646\u0648\u0636\u062d \u0644\u0643 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0638\u0644 \u0627\u0644\u0639\u0643\u0633\u064a. \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0627\u0644\u0638\u0644\u061f \u0645\u0634\u062a\u0642 \u0638\u0644 x \u064a\u0633\u0627\u0648\u064a 1 \u0639\u0644\u0649 \u0645\u0631\u0628\u0639 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x. \u0645\u0634\u062a\u0642 \u0638\u0644 x \u064a\u0643\u0627\u0641\u0626 \u0623\u064a\u0636\u064b\u0627 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%a7%d9%84%d8%b8%d9%84\/\"> <span class=\"screen-reader-text\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u0638\u0644<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[6],"tags":[],"class_list":["post-34","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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