{"id":33,"date":"2023-09-17T11:02:59","date_gmt":"2023-09-17T11:02:59","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%ac%d9%8a%d8%a8-%d8%a7%d9%84%d8%aa%d9%85%d8%a7%d9%85\/"},"modified":"2023-09-17T11:02:59","modified_gmt":"2023-09-17T11:02:59","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%ac%d9%8a%d8%a8-%d8%a7%d9%84%d8%aa%d9%85%d8%a7%d9%85","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%ac%d9%8a%d8%a8-%d8%a7%d9%84%d8%aa%d9%85%d8%a7%d9%85\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645"},"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\u0633\u062a\u062e\u0644\u0627\u0635 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 (\u0627\u0644\u0635\u064a\u063a\u0629). \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 \u0648\u0638\u0627\u0626\u0641 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\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 \u0646\u0639\u0631\u0636 \u0644\u0643 \u0625\u062b\u0628\u0627\u062a \u0627\u0644\u0635\u064a\u063a\u0629\u060c \u0645\u0627 \u0647\u0648 \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0644\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u062d\u062a\u0649 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \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-del-coseno\"><\/span> \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\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 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0628\u0627\u0644\u0639\u0644\u0627\u0645\u0629. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x \u064a\u0633\u0627\u0648\u064a \u0646\u0627\u0642\u0635 \u062c\u064a\u0628 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-72551067d650b8d3797bc37497ec609d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"389\" 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 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0646\u0627\u0642\u0635 \u062c\u064a\u0628 \u062a\u0644\u0643 \u0627\u0644\u062f\u0627\u0644\u0629 \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-ccc4f6fce30c027f8782a296a44b84b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"416\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u062a\u0639\u0627\u062f\u0644 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0648\u0644\u0643\u0646 \u0645\u0639 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629. \u0644\u0630\u0627\u060c \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u064a \u0643\u0645\u0627 \u064a\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-du-cosinus.webp\" alt=\"\u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\" class=\"wp-image-1902\" width=\"428\" height=\"292\" 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-coseno\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0645\u0634\u062a\u0642\u0627\u062a \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0645\u0627 \u0647\u064a \u0635\u064a\u063a\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\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 \u0644\u0627 \u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0643 \u0623\u064a \u0634\u0643 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-coseno-de-2x\"><\/span> \u0645\u062b\u0627\u0644 1: \u0645\u0634\u062a\u0642 \u0645\u0646 \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-87c696135df266b2d8498b353bf03c36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u064a\u0633 \u0644\u062f\u064a\u0646\u0627 x \u0648\u0627\u062d\u062f\u060c \u0628\u0644 \u062f\u0627\u0644\u0629 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627. \u0648\u0644\u0630\u0644\u0643\u060c \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \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 \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-ccc4f6fce30c027f8782a296a44b84b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"416\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0645\u0634\u062a\u0642\u0629 2x \u0647\u064a 2\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 2x \u0633\u062a\u0643\u0648\u0646 \u0646\u0627\u0642\u0635 \u062c\u064a\u0628 2x \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \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-ba75c906f1694fe3fbd16fa61e0d288e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(2x)\\cdot 2=-2\\text{sen}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"532\" 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-coseno-de-x-al-cuadrado\"><\/span> \u0645\u062b\u0627\u0644 2: \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0640 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-89f1a1fc3f2d5e95aafbd2a37282f88c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"113\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u0633\u0627\u0628\u0642\u060c \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u062f\u064a\u0646\u0627 \u062f\u0627\u0644\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 x\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \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-ccc4f6fce30c027f8782a296a44b84b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"416\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646\u060c \u0645\u0634\u062a\u0642 x <sup>2<\/sup> \u0647\u0648 2x\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x \u0645\u0631\u0641\u0648\u0639\u064b\u0627 \u0644\u0644\u0642\u0648\u0629 2 \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-a410f3316194c86b97a987b0ec7e9e6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"437\" 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-coseno-al-cubo\"><\/span> \u0645\u062b\u0627\u0644 3: \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \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-dfa2e76d23ef3aeb2ab3ff8e20e2aa07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}^3(2x^6-5x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"178\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0643\u0648\u0646 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 \u0645\u0646 \u062f\u0627\u0644\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u0630\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u062d\u0644 \u0627\u0644\u0645\u0634\u062a\u0642\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-ccc4f6fce30c027f8782a296a44b84b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{sen}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"416\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0647\u0643\u0630\u0627\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629\u060c \u0646\u0635\u0644 \u0625\u0644\u0649 \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-73284bcfb1d5647b2304e323e7fbaedf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=3\\text{cos}^2(2x^6-5x^3)\\cdot \\bigl(-\\text{sen}(2x^6-5x^3)\\bigr)\\cdot (12x^5-15x^2)\\\\[2ex]&amp;=-3\\text{cos}^2(2x^6-5x^3)\\cdot \\text{sen}(2x^6-5x^3)\\cdot (12x^5-15x^2)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"467\" style=\"vertical-align: 0px;\"><\/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\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629<\/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\/\">\u0627\u0644\u0645\u062d\u062a\u0645\u0644\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-coseno\"><\/span> \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0646\u0631\u0649 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u062c\u064a\u0628 \u0628\u0633\u0647\u0648\u0644\u0629\u060c \u0648\u0630\u0644\u0643 \u0628\u0641\u0636\u0644 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <u style=\"text-decoration-color:#ff951b;\"><strong>\u0645\u0644\u062d\u0648\u0638\u0629:<\/strong> \u0644\u0641\u0647\u0645 \u0645\u0627 \u064a\u0644\u064a\u060c \u0639\u0644\u064a\u0643 \u0623\u0646 \u062a\u0639\u0631\u0641<\/u> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0627\u0644\u062c\u064a\u0648\u0628-\u0627\u0644\u0627\u0654\u0646\u0641\u064a\u0629\/\">\u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u064a\u0628<\/a><\/span> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0644\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x \u0647\u0648 \u0646\u0627\u0642\u0635 \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x.<\/strong> \u0642\u062f \u064a\u0628\u062f\u0648 \u0647\u0630\u0627 \u063a\u0631\u064a\u0628\u064b\u0627\u060c \u0644\u0643\u0646\u0647 \u0643\u0630\u0644\u0643 \u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\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\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0640 x \u0645\u0631\u062a\u064a\u0646\u060c \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0648\u0644\u0643\u0646 \u0628\u0639\u0644\u0627\u0645\u0629 \u0645\u0639\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-d0d9dda8a4031c367120b1f950da4391_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{cos}(x)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=-\\text{sen}(x)\\\\[2ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{cos}(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"157\" width=\"132\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u063a\u064a\u0631 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0648\u0633\u064a\u0637\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 x\u060c \u0644\u0623\u0646\u0646\u0627 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0646\u0633\u062d\u0628 \u062d\u062f \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-83d86bd6508f06b0723153b3b9254c1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{cos}(u)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=-\\text{sen}(u)\\cdot u' \\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{cos}(u)\\cdot u'^2 -\\text{sen}(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-coseno-inverso\"><\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u0643\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0647\u0627 \u062f\u0627\u0644\u0629 \u0639\u0643\u0633\u064a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0639\u0643\u0633 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0641\u0625\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u0643\u0633\u064a \u0642\u0627\u0628\u0644 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u0643\u0633\u064a<\/strong> \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u0646\u0627\u0642\u0635 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \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\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-307f91156ee9c404e9c1a1c0de56b102_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}^{-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=\"425\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u0643\u0633\u064a \u064a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0623\u0631\u0643\u0648\u0633\u064a\u0646.<\/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 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u0643\u0633\u064a \u0644\u0640 3x \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-7ce426dcd95d21e43b182ef593520c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos}^{-1}(3x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{3}{\\sqrt{1-(3x)^2}}=-\\cfrac{3}{\\sqrt{1-9x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"571\" 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-coseno\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<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 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \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-c1caebbb3b9acfa8cd25721299f9a22e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=\\text{cos}(4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" 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-a89d6e415addae7423aa75362416686b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=\\text{cos}(2x^3-5x+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"218\" 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-dad34285ad7ac07f34ef408c65cbb96c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } \\displaystyle f(x)=9\\text{cos}\\left(\\frac{x}{3}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"152\" 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-752bff297c20cdf69d6fcb45290be935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=\\text{cos}^5(x^2+3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"187\" 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-939dee8bcafba3f55812c5a13f27a309_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=\\text{cos}\\left(e^{5x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"148\" 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-f6c7c3c5786d010b99f4e65b692dfe1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } \\displaystyle f(x)=9\\text{cos}\\left(\\frac{e^x}{5x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"164\" style=\"vertical-align: -17px;\"><\/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-8a3e1b1b2fe486d1c432a075c0028b62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=-\\text{sen}(4x)\\cdot 4 =-4\\text{sen}(4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"285\" 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-8bc2f2e1676bb5f0d4ca231bd35b2b12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=-\\text{sen}(2x^3-5x+1)\\cdot (6x^2-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"321\" 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-cc5cf86d30b34d4cd1a794a4d2ee6a5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } \\displaystyle f'(x)=-9\\text{sen}\\left(\\frac{x}{3}\\right)\\cdot \\frac{1}{3} =-3\\text{sen}\\left(\\frac{x}{3}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"306\" 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-f168f2e897b18c662f567a25ff09e881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=-5\\text{cos}^4(x^2+3x)\\cdot \\text{sen}(x^2+3x)\\cdot (2x+3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"401\" 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-fe49736d7a1ce1736679e8c25bc4a66b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=-\\text{sen}\\left(e^{5x}\\right)\\cdot e^{5x}\\cdot 5=-5\\text{sen}\\left(e^{5x}\\right)\\cdot e^{5x}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"377\" 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-9f4645fb77435daec6f696cffbd54884_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{F) }\\displaystyle f'(x)&amp;=-9\\text{sen}\\left(\\frac{e^x}{5x}\\right)\\cdot \\frac{e^x\\cdot 5x-e^x\\cdot 5}{(5x)^2}\\\\[2ex]&amp;=-9\\text{sen}\\left(\\frac{e^x}{5x}\\right)\\cdot \\frac{5e^x(x-1)}{25x^2}\\\\[2ex]&amp;=-9\\text{sen}\\left(\\frac{e^x}{5x}\\right)\\cdot \\frac{e^x(x-1)}{5x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"172\" width=\"310\" style=\"vertical-align: 0px;\"><\/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-coseno\"><\/span> \u0625\u062b\u0628\u0627\u062a \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u0646\u0648\u0636\u062d \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0640 x. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0634\u062a\u0642\u0629\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u062d\u062f \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-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\"> \u0633\u0646\u0642\u0648\u0645 \u0628\u0625\u062b\u0628\u0627\u062a \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u064a cos(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-a00c11698e4b4f5caf0f227e18be8656_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{cos}(x+h)-\\text{cos}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"245\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u062a\u0639\u0648\u064a\u0636\u060c \u0644\u0623\u0646\u0646\u0627 \u0633\u0646\u0646\u062a\u0647\u064a \u0641\u064a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0645\u062c\u0645\u0648\u0639 \u0628\u0637\u0631\u064a\u0642\u0629 \u0623\u062e\u0631\u0649 \u0645\u0646 \u062e\u0644\u0627\u0644 \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-5e06f1728cce31fb5650ba149b8e5b9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(a+b)=\\text{cos}(a)\\text{cos}(b)-\\text{sen}(a)\\text{sen}(b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"307\" 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-db64449e24b11a613417ebce4c7c7a85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{cos}(x)\\text{cos}(h)-\\text{sen}(x)\\text{sen}(h)-\\text{cos}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"380\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0647\u064a \u0641\u0635\u0644 \u0627\u0644\u0643\u0633\u0631 \u0625\u0644\u0649 \u0643\u0633\u0631\u064a\u0646 \u0648\u0623\u062e\u0630 \u0627\u0644\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u0644\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-c7c1cd89cf290b01d7d72fc8084f6529_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\left[\\frac{\\text{cos}(x)\\bigl(\\text{cos}(h)-1\\bigr)}{h}-\\frac{\\text{sen}(x)\\text{sen}(h)}{h}\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"380\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0637\u0631\u062d \u062a\u0633\u0627\u0648\u064a \u0637\u0631\u062d \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a\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-739fc9a2280c7da1bf2ea830ee5ec88c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{cos}(x)\\bigl(\\text{cos}(h)-1\\bigr)}{h}-\\lim_{h \\to 0}\\frac{\\text{sen}(x)\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"393\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 x \u0648\u062c\u064a\u0628 x \u0644\u0627 \u064a\u0639\u062a\u0645\u062f\u0627\u0646 \u0639\u0644\u0649 h\u060c \u0644\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u0631\u0627\u062c\u0647\u0645\u0627 \u062e\u0627\u0631\u062c \u0627\u0644\u062d\u062f\u0648\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-bfbc83e5a84d91a0f6d98418a4f0041c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{cos}(x)\\lim_{h \\to 0}\\frac{\\text{cos}(h)-1}{h}-\\text{sen}(x)\\lim_{h \\to 0}\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"383\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0628\u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0627\u062a \u0627\u0644\u0645\u062a\u0646\u0627\u0647\u064a\u0629 \u0627\u0644\u0635\u063a\u0631\u060c \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644 \u0647\u0648 0 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0647\u0648 1. \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-f0c2ed1188b80356d05d6188fab5ca47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{cos}(x)\\cdot 0-\\text{sen}(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-9f33ae6c9b18e01ba654772f22cab6d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=-\\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0642\u062f \u062a\u0648\u0635\u0644\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u0628\u0630\u0644\u0643 \u062b\u0628\u062a \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 (\u0627\u0644\u0635\u064a\u063a\u0629). \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 \u0648\u0638\u0627\u0626\u0641 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\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 \u0646\u0639\u0631\u0636 \u0644\u0643 \u0625\u062b\u0628\u0627\u062a \u0627\u0644\u0635\u064a\u063a\u0629\u060c \u0645\u0627 \u0647\u0648 \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0646\u064a \u0644\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u062d\u062a\u0649 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0639\u0643\u0633\u064a. \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u061f \u0645\u0634\u062a\u0642 \u062f\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 \u062f\u0627\u0644\u0629 \u0627\u0644\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-%d9%85%d9%86-%d8%ac%d9%8a%d8%a8-%d8%a7%d9%84%d8%aa%d9%85%d8%a7%d9%85\/\"> <span class=\"screen-reader-text\">\u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/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-33","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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