{"id":32,"date":"2023-09-17T11:03:23","date_gmt":"2023-09-17T11:03:23","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d8%a7%d9%84%d8%ac%d9%8a%d9%88%d8%a8-%d8%a7%d9%84%d8%a3%d9%86%d9%81%d9%8a%d8%a9\/"},"modified":"2023-09-17T11:03:23","modified_gmt":"2023-09-17T11:03:23","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d8%a7%d9%84%d8%ac%d9%8a%d9%88%d8%a8-%d8%a7%d9%84%d8%a3%d9%86%d9%81%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d8%a7%d9%84%d8%ac%d9%8a%d9%88%d8%a8-%d8%a7%d9%84%d8%a3%d9%86%d9%81%d9%8a%d8%a9\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062b\u062f\u064a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 (\u0627\u0644\u0635\u064a\u063a\u0629). \u0633\u062a\u062c\u062f \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u064a\u0628\u064a\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u0639\u0631\u0636 \u0644\u0643 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u062c\u064a\u0628 \u0627\u0644\u062c\u064a\u0628\u060c \u0648\u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u062c\u064a\u0628 \u0627\u0644\u062c\u064a\u0628\u060c \u0643\u0645\u0627 \u0646\u0639\u0631\u0636 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u0627\u0644\u062c\u064a\u0628. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-del-seno\"><\/span> \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \u0647\u0648 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 x \u064a\u0633\u0627\u0648\u064a \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 x.<\/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-2fdc142e7ff766dcf7fcd24b16e11ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"375\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0646\u0627\u0643 \u062f\u0627\u0644\u0629 \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062c\u064a\u0628\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 \u0647\u0648 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0645\u0634\u062a\u0642 \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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649. \u0644\u0630\u0627\u060c \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \u0647\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-du-sinus.webp\" alt=\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062b\u062f\u064a\" class=\"wp-image-1872\" width=\"392\" height=\"282\" 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-del-seno\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u064a\u0628\u060c \u0633\u0646\u0634\u0631\u062d \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 \u062a\u0645\u0627\u0645\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-seno-de-2x\"><\/span> \u0645\u062b\u0627\u0644 1: \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 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-8eb4985d571a4ead05f1f6289197249f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062c\u064a\u0628 \u0644\u062f\u064a\u0646\u0627 \u062f\u0627\u0644\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 x\u060c \u0644\u0630\u0644\u0643 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062c\u064a\u0628:<\/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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0634\u062a\u0642 2x \u0647\u0648 2\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 2x \u0647\u0648 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 2x \u0641\u064a 2. <\/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-c3fdd6b2afbc2c387f9160474119139f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(2x)\\cdot 2=2\\text{cos}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"503\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-seno-de-x-al-cuadrado\"><\/span> \u0645\u062b\u0627\u0644 2: \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 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-856ab4d35ee160a6b966a748ec9cf4f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(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\"> \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u0627 \u0623\u0646 \u0645\u0634\u062a\u0642\u0629 x <sup>2<\/sup> \u062a\u0633\u0627\u0648\u064a 2x\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 x \u0645\u0631\u0641\u0648\u0639\u0629 \u0644\u0644\u0623\u0633 2 \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-901d9c0780a330a0d10d9f6d0185bbe2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"423\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-del-seno-al-cubo\"><\/span> \u0645\u062b\u0627\u0644 3: \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u064a\u0628 \u0645\u0643\u0639\u0628\u0629<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-6428f8178ef3b768b1ec0a673f31c814_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^3(x^5+4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"162\" 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 \u062a\u062a\u0643\u0648\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \u0645\u0646 \u062f\u0627\u0644\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0627\u0644\u062c\u064a\u0628:<\/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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \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-5ec8461861a7213d371d7dc6cff1cc92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3\\text{sen}^2(x^5+4x)\\cdot \\text{cos}(x^5+4x)\\cdot (5x^4+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"368\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <u style=\"text-decoration-color:#ff951b;\">\u0645\u0646 \u0623\u062c\u0644 \u0627\u0634\u062a\u0642\u0627\u0642 \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0623\u064a\u0636\u064b\u0627 \u062a\u0637\u0628\u064a\u0642<\/u> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u0648\u0638\u064a\u0641\u0629-\u0627\u0644\u0637\u0627\u0642\u0629-\u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u0627\u0644\u0642\u0648\u0629<\/a><\/span> .<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"segunda-derivada-del-seno\"><\/span>\u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u0646 \u0627\u0644\u062c\u064a\u0628<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0628\u0639\u062f \u0630\u0644\u0643 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628\u060c \u0644\u0623\u0646\u0647\u0627 \u062f\u0627\u0644\u0629 \u0645\u062b\u0644\u062b\u064a\u0629\u060c \u0648\u0644\u0647\u0627 \u062e\u0635\u0627\u0626\u0635 \u0645\u0639\u064a\u0646\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0623\u0639\u0644\u0627\u0647\u060c \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u064a\u0628 \u0647\u064a \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u062d\u0633\u0646\u064b\u0627\u060c \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0644\u0643\u0646\u0647 \u062a\u063a\u064a\u0631 \u0641\u064a \u0627\u0644\u0625\u0634\u0627\u0631\u0629. \u0648\u0647\u0648 \u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 <strong>\u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u062c\u064a\u0628 \u0647\u064a \u0627\u0644\u062c\u064a\u0628 \u0646\u0641\u0633\u0647 \u0648\u0644\u0643\u0646 \u062a\u063a\u064a\u0631\u062a \u0639\u0644\u0627\u0645\u062a\u0647<\/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-7a312c69d71be2df495ba30f6e3b85e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{sen}(x)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=\\text{cos}(x)\\\\[2ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{sen}(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"157\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062c\u064a\u0628 x\u060c \u064a\u062a\u063a\u064a\u0631 \u0647\u0630\u0627 \u0627\u0644\u0634\u0631\u0637 \u0644\u0623\u0646\u0646\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0633\u062d\u0628 \u0645\u0635\u0637\u0644\u062d \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\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-a6a3a1255d5494e320a50ef02bce9d19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{sen}(u)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=\\text{cos}(u)\\cdot u' \\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{sen}(u)\\cdot u'^2 +\\text{cos}(u)\\cdot u'' \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"153\" width=\"263\" 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-del-seno-inverso\"><\/span>\u0645\u0634\u062a\u0642 \u062c\u064a\u0628\u064a \u0645\u0639\u0643\u0648\u0633<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0639\u0644\u0645 \u062c\u064a\u062f\u064b\u0627\u060c \u0643\u0644 \u062f\u0627\u0644\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0647\u0627 \u062f\u0627\u0644\u0629 \u0639\u0643\u0633\u064a\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u062c\u064a\u0628 \u0627\u0644\u0639\u0643\u0633\u064a \u0642\u0627\u0628\u0644 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0623\u064a\u0636\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u064a\u0628 \u0627\u0644\u0639\u0643\u0633\u064a<\/strong> \u062a\u0633\u0627\u0648\u064a \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0648\u0627\u062d\u062f \u0646\u0627\u0642\u0635 \u0645\u0631\u0628\u0639 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0648\u0633\u064a\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-8fbeb5e099f046c572b9076a3e65b80b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^{-1}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"412\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u062c\u064a\u0628 \u0627\u0644\u0639\u0643\u0633\u064a \u064a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0642\u0648\u0633 \u0627\u0644\u062c\u064a\u0628.<\/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 \u0627\u0644\u062c\u064a\u0628 \u0627\u0644\u0639\u0643\u0633\u064a \u0644\u0640 5x \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-6946743939fbacc11ac050625151ea97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^{-1}(5x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{5}{\\sqrt{1-(5x)^2}}=\\cfrac{5}{\\sqrt{1-25x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"553\" style=\"vertical-align: -20px;\"><\/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-del-seno\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u064a\u0628<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u064a\u0628\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-91a8a2e764daa0e57ffd835005c8c474_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{sen}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" 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-e80e9e86c1ff2373d4321dbf0b348d8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{sen}(x^2+5x-9)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"210\" 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-acda934e5f1e150c3657c7c179dae04e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }\\displaystyle f(x)=\\text{sen}\\left(\\frac{x}{4}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"144\" 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-b5dd5bfe722128418bd89665bb3d7fc5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{sen}^4(5x^3-10x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" 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-25cef83962dcc595ea141212c144424c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{sen}\\bigl(\\ln(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"161\" 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-1761cfbdc805de80c6edab26613014cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f(x)=2\\text{sen}(x^4-3x^3)-7\\text{sen}^2(x^5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" 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 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-a0c6093fe6364e806ee4adb980e6ae1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f'(x)=7\\text{cos}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" 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-0c4f15d01ad3f2dae29e0e6e4944b050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f'(x)=\\text{cos}(x^2+5x-9)\\cdot (2x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" 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-5ec1bb477b6f8b9d62adffa38288667b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }\\displaystyle f'(x)=\\text{cos}\\left(\\frac{x}{4}\\right)\\cdot \\frac{1}{4}=\\frac{\\text{cos}\\left(\\frac{x}{4}\\right)}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"256\" 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-4d54d16bf947c61429cb47f9613701cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f'(x)=4\\text{sen}^3(5x^3-10x^2)\\cdot \\text{cos}(5x^3-10x^2)\\cdot (15x^2-20x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"473\" 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-9a5b66e0c4e67d903aea56caef9e72df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f'(x)=\\text{cos}\\bigl(\\ln(x)\\bigr)\\cdot \\cfrac{1}{x} =\\cfrac{\\text{cos}\\bigl(\\ln(x)\\bigr)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"296\" 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-d5002d567a4412d1a78c369ff26ebb66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f'(x)=2\\text{cos}(x^4-3x^3)\\cdot (4x^3-9x^2)-14\\text{sen}(x^5)\\cdot \\text{cos}(x^5)\\cdot 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"504\" 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<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-del-seno\"><\/span> \u0645\u0638\u0627\u0647\u0631\u0629 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0628\u064a\u0646 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0623\u0646 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0640 x \u0647\u064a \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0648\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-dc1699622d128f888c1f20599aeccf60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"219\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628 \u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627 \u0647\u064a sin(x)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\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-9af97a03363cd676667ad58135760ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{sen}(x+h)-\\text{sen}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"247\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0625\u0639\u0627\u062f\u0629 \u0643\u062a\u0627\u0628\u0629 \u062c\u064a\u0628 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0628\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\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-0836929c5c4ae666d530ad9946e1a191_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(a+b)=\\text{sen}(a)\\text{cos}(b)+\\text{cos}(a)\\text{sen}(b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"308\" 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-dbebd45e9fdfaa9e6ade3b6a4bfad716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{sen}(x)\\text{cos}(h)+\\text{cos}(x)\\text{sen}(h)-\\text{sen}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"381\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0648\u0644 \u0627\u0644\u0643\u0633\u0631 \u0625\u0644\u0649 \u0643\u0633\u0631\u064a\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u0642\u0627\u0645. \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0628\u0641\u0636\u0644 \u0642\u0627\u0646\u0648\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0645\u0628\u0644\u063a.<\/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-3368ab9ecc3a19ad382f85707d6e66cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\left[\\frac{\\text{sen}(x)(\\text{cos}(h)-1)}{h}+\\frac{\\text{cos}(x)\\text{sen}(h)}{h}\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"375\" style=\"vertical-align: -16px;\"><\/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-819a10da8fb503b9797c855f0a6208bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\text{sen}(x)\\frac{\\text{cos}(h)-1}{h}+\\lim_{h \\to 0}\\text{cos}(x)\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"377\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u062e\u0635\u0627\u064a\u0654\u0635-\u0642\u0648\u0627\u0646\u064a\u0646-\u0627\u0644\u062d\u062f\u0648\u062f\/\">\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u062d\u062f\u0648\u062f<\/a><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0634\u0631\u0648\u0637 \u062c\u064a\u0628 x \u0648\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 x \u0644\u0627 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 h\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062e\u0631\u0627\u062c\u0647\u0645 \u0645\u0646 \u0627\u0644\u062d\u062f:<\/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-2ae7a3b5022abcb1941be4a0b6a02287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{sen}(x)\\cdot\\lim_{h \\to 0}\\frac{\\text{cos}(h)-1}{h}+\\text{cos}(x)\\cdot\\lim_{h \\to 0}\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"402\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0644 \u0645\u0627 \u0639\u0644\u064a\u0646\u0627 \u0641\u0639\u0644\u0647 \u0627\u0644\u0622\u0646 \u0647\u0648 \u062a\u0637\u0628\u064a\u0642 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u062a\u064a\u0646 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u062a\u064a\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0645\u0644\u062d\u0648\u0638\u0629:<\/strong> \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0628\u062d\u062b \u0639\u0646 \u062a\u0648\u0636\u064a\u062d \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u064a\u0646 \u0627\u0644\u0633\u0627\u0628\u0642\u064a\u0646 \u0641\u064a \u0645\u062d\u0631\u0643 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u062e\u0627\u0635 \u0628\u0645\u0648\u0642\u0639\u0646\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-cfbe7d4af77ff230e9e7a059414e90e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{sen}(x)\\cdot 0+\\text{cos}(x)\\cdot 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"223\" 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-863dc523f1b112a07352b60c8dfdc2b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0630\u0644\u0643 \u0646\u0638\u0647\u0631 \u0623\u0646 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0640 x \u0647\u0648 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0640 x.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0634\u0631\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 (\u0627\u0644\u0635\u064a\u063a\u0629). \u0633\u062a\u062c\u062f \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u064a\u0628\u064a\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0646\u0639\u0631\u0636 \u0644\u0643 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u062c\u064a\u0628 \u0627\u0644\u062c\u064a\u0628\u060c \u0648\u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u062c\u064a\u0628 \u0627\u0644\u062c\u064a\u0628\u060c \u0643\u0645\u0627 \u0646\u0639\u0631\u0636 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u0627\u0644\u062c\u064a\u0628. \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628\u061f \u0645\u0634\u062a\u0642 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \u0647\u0648 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d8%a7%d9%84%d8%ac%d9%8a%d9%88%d8%a8-%d8%a7%d9%84%d8%a3%d9%86%d9%81%d9%8a%d8%a9\/\"> <span class=\"screen-reader-text\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062b\u062f\u064a<\/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-32","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 (\u062d\u0644 \u0627\u0644\u0635\u064a\u063a\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u064a\u0628\u0627\u062a)<\/title>\n<meta name=\"description\" content=\"\u0646\u0641\u0633\u0631 \u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628 (\u0627\u0644\u0635\u064a\u063a\u0629). \u2705 \u0645\u0639 \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628. \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0627\u0644\u062c\u064a\u0648\u0628-\u0627\u0644\u0623\u0646\u0641\u064a\u0629\/\" 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