{"id":383,"date":"2023-07-03T19:47:19","date_gmt":"2023-07-03T19:47:19","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/"},"modified":"2023-07-03T19:47:19","modified_gmt":"2023-07-03T19:47:19","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0623\u062e\u0630 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 (\u0623\u0648 \u062f\u0627\u0644\u0629 \u062c\u0630\u0631\u064a\u0629). \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u0642\u0633\u0645\u0629 \u0627\u0644\u062c\u0630\u0648\u0631 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0630\u0648\u0631. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-una-raiz\"><\/span> \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631\u060c<\/strong> \u0623\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u064a\u0633\u0627\u0648\u064a \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631 (\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0623\u0633\u0641\u0644 \u0627\u0644\u062c\u0630\u0631) \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0624\u0634\u0631 \u0627\u0644\u062c\u0630\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062c\u0630\u0631\u060c \u0645\u0639 \u0637\u0631\u062d 1 \u0645\u0646 \u0623\u0633 \u0627\u0644\u062c\u0630\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-d68fa956b939a4e9a483fc43509a3e5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{u}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{u'}{n\\sqrt[n]{u^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"374\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u062c\u0630\u0631 \u0627\u0644\u062c\u0630\u0631 \u0645\u062c\u0631\u062f x\u060c \u0641\u0633\u064a\u062a\u0645 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0635\u064a\u063a. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631\u064a \u0644\u0640 x \u0647\u0648 \u0645\u0627 \u064a\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-6f42caa889f09dbf2af835915f0f6b1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{n\\sqrt[n]{x^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"374\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0647\u0646\u0627\u0643 \u0635\u064a\u063a\u062a\u0627\u0646 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u062c\u0630\u0631: \u0627\u0644\u0623\u0648\u0644\u0649 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0648\u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u0642\u0637 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u062c\u0630\u0631 x. <\/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\/derive-dune-racine.webp\" alt=\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631\" class=\"wp-image-1787\" width=\"361\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0646\u0638\u0631\u062a \u0639\u0646 \u0643\u062b\u0628\u060c \u0641\u0625\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0641\u064a \u0628\u0633\u0637 \u0627\u0644\u0643\u0633\u0631 \u0647\u0648 \u0627\u0644\u0630\u064a \u064a\u0646\u062a\u062c \u0639\u0646 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0639\u0646\u062f \u0623\u062e\u0630 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631. \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u062c\u0630\u0631 x\u060c \u064a\u0638\u0647\u0631 1 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0644\u0623\u0646\u0647 \u0645\u0634\u062a\u0642 \u0645\u0646 x. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplos-de-derivadas-de-raices\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0630\u0631\u064a\u0629<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 \u062f\u0627\u0644\u0629 \u062c\u0630\u0631\u064a\u0629\u060c \u0646\u0648\u0636\u062d \u0623\u062f\u0646\u0627\u0647 \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 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-una-raiz-cuadrada\"><\/span> \u0645\u062b\u0627\u0644 1: \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0633\u0646\u0631\u0649 \u0628\u0639\u062f \u0630\u0644\u0643 \u0645\u0627 \u0647\u064a \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\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-12533a178fbfb7d1a6b3175d2a812cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/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\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u062f\u0627\u062e\u0644 \u0627\u0644\u062c\u0630\u0631 \u0647\u0648 \u0645\u062c\u0631\u062f x\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\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-6f42caa889f09dbf2af835915f0f6b1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{n\\sqrt[n]{x^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"374\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u062a\u0633\u0627\u0648\u064a 1 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 2 \u0641\u064a \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0640 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-5e879d493e8b67755617d2aed1743cde_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{2\\sqrt{x^{2-1}}}=\\cfrac{1}{2\\sqrt{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"425\" style=\"vertical-align: -16px;\"><\/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-una-raiz-cubica\"><\/span> \u0645\u062b\u0627\u0644 2: \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a<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-c3c5e7be9bc257eb2866277bae5be644_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[3]{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" 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 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0623\u0633\u0641\u0644 \u0627\u0644\u062c\u0630\u0631 \u0647\u0648 x\u060c \u0644\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\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-6f42caa889f09dbf2af835915f0f6b1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{n\\sqrt[n]{x^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"374\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a \u062a\u0633\u0627\u0648\u064a 1 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 3 \u0623\u0636\u0639\u0627\u0641 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0643\u0639\u064a\u0628\u064a \u0644\u0640 x \u062a\u0631\u0628\u064a\u0639: <\/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-f0e928affa231f99c8af7ebffb25049b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[3]{x}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{1}{3\\sqrt[3]{x^{3-1}}}=\\cfrac{1}{3\\sqrt[3]{x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"436\" style=\"vertical-align: -16px;\"><\/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-una-raiz-cuarta\"><\/span> \u0645\u062b\u0627\u0644 3: \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0631\u0627\u0628\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-4a02a76ecccf5f654e0a9f7c3fb570e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[4]{7x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0644\u064a\u0633 \u0644\u062f\u064a\u0646\u0627 \u0639\u0644\u0627\u0645\u0629 x \u062a\u062d\u062a \u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062c\u0630\u0631\u060c \u0648\u0644\u0643\u0646 \u0644\u062f\u064a\u0646\u0627 \u062a\u0639\u0628\u064a\u0631 \u062c\u0628\u0631\u064a \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627. \u0648\u0644\u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\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-d68fa956b939a4e9a483fc43509a3e5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{u}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{u'}{n\\sqrt[n]{u^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"374\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u062a\u062d\u062a \u0627\u0644\u062c\u0630\u0631 \u0647\u0648 \u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u062a\u0647\u0627 \u0647\u064a 7. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \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-d406850e42a532ebe3209ac6d705b0db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[4]{7x-2}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{7}{4\\sqrt[4]{(7x-2)^3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"446\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-4-derivada-de-una-raiz-dentro-de-otra\"><\/span> \u0645\u062b\u0627\u0644 4: \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0645\u0646 \u062c\u0630\u0631 \u0625\u0644\u0649 \u0622\u062e\u0631<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-5955c2ba5e8301beb45ec4fe7207b601_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x^2+\\sqrt[3]{x^4-5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u062d\u0644 \u0645\u0634\u062a\u0642\u0629 \u0647\u0630\u0627 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062c\u0630\u0631 \u0622\u062e\u0631 \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\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-d68fa956b939a4e9a483fc43509a3e5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{u}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=\\cfrac{u'}{n\\sqrt[n]{u^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"374\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0641\u0633 \u0627\u0644\u0635\u064a\u063a\u0629 \u0645\u0631\u062a\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0634\u062a\u0642: <\/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-c37131b50bda38022296c6401af727ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp; =\\cfrac{1}{2\\sqrt{x^2+\\sqrt[3]{x^4-5}}}\\cdot\\left(x^2+\\sqrt[3]{x^4-5}\\right)' \\\\[3ex]&amp;\\displaystyle =\\cfrac{1}{2\\sqrt{x^2+\\sqrt[3]{x^4-5}}}\\cdot \\left(2x+\\frac{1}{ 3\\sqrt[3]{(x^4-5)^2}}\\cdot (x^4-5)'\\right)\\\\[3ex]&amp;\\displaystyle =\\cfrac{1}{2\\sqrt{x^2+\\sqrt[3]{x^4-5}}}\\cdot \\left(2x+\\frac{1}{ 3\\sqrt[3]{(x^4-5)^2}}\\cdot 4x^3\\right)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"211\" width=\"453\" 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=\"ejercicios-resueltos-de-la-derivada-de-una-raiz\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631<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\u062c\u0630\u0648\u0631 \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-3f3ee60a40f0696dc0b5ef1e5bda06ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=\\sqrt[5]{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" 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-e9589007466797e244646623ece04655_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=\\sqrt[3]{x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"117\" 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-983ef87ac1eca3d1e963de48bb867531_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f(x)=\\sqrt{x^2-4x+9}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"189\" 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-24340e19537976608651d3554d8f47b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=\\sqrt[4]{x^9+5x^4-2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"207\" 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-4f82a43408b63e2399ec88e8a3e2e868_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=\\sqrt[5]{3(x^2-1)^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"181\" style=\"vertical-align: -6px;\"><\/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-5280308e036830e09c0bdcd8bd8791fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f(x)=\\sqrt[6]{x^2+4(5x^3-8x)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"239\" style=\"vertical-align: -6px;\"><\/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-572ec9e7f3b912e18b40787ac9b212b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=\\cfrac{1}{5\\sqrt[5]{x^4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"134\" 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-3bacf51d3e3fd8fa192f982456f2a8d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=\\cfrac{4x^3}{3\\sqrt[3]{\\left(x^4\\right)^2}}= \\cfrac{4x^3}{3\\sqrt[3]{x^8}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"225\" style=\"vertical-align: -30px;\"><\/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-3dbbfa5053cc4b46f21eee7a842a00c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f'(x)=\\cfrac{2x-4}{2\\sqrt{x^2-4x+9}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"204\" 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-5169c93bdfa2522a3219563eee1bb354_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=\\cfrac{9x^8+20x^3-2}{4\\sqrt[4]{\\left(x^9+5x^4-2x\\right)^3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"248\" style=\"vertical-align: -30px;\"><\/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-f68dce6e62d98d10d99daf57e0128069_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=\\cfrac{3\\cdot 4 \\cdot (x^2-1)^3\\cdot 2x}{5\\sqrt[5]{\\left(3\\left(x^2-1\\right)^4\\right)^4}}=\\cfrac{24x(x^2-1)^3}{5\\sqrt[5]{81\\left(x^2-1\\right)^{16}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"386\" style=\"vertical-align: -41px;\"><\/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-dd1d3bbced66caaed0ac254363e5f2f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f'(x)=\\cfrac{2x+2\\cdot 4(5x^3-8x)\\cdot (15x^2-8)}{6\\sqrt[6]{\\left(x^2+4(5x^3-8x)^2\\right)^5}}=\\cfrac{2x+8(5x^3-8x)(15x^2-8)}{6\\sqrt[6]{\\left(x^2+4(5x^3-8x)^2\\right)^5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"571\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0623\u062e\u0630 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 (\u0623\u0648 \u062f\u0627\u0644\u0629 \u062c\u0630\u0631\u064a\u0629). \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u0642\u0633\u0645\u0629 \u0627\u0644\u062c\u0630\u0648\u0631 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0630\u0648\u0631. \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631\u060c \u0623\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u064a\u0633\u0627\u0648\u064a \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631 (\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0623\u0633\u0641\u0644 \u0627\u0644\u062c\u0630\u0631) \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0624\u0634\u0631 \u0627\u0644\u062c\u0630\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062c\u0630\u0631\u060c \u0645\u0639 \u0637\u0631\u062d 1 \u0645\u0646 \u0623\u0633 \u0627\u0644\u062c\u0630\u0631. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u062c\u0630\u0631 &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%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/\"> <span class=\"screen-reader-text\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631<\/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-383","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>\u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u0630\u0631 - \u0645\u0627\u062b\u0648\u0631\u064a\u062a\u064a<\/title>\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-\u0645\u0646-\u062f\u0627\u0644\u0629-\u062c\u0630\u0631\u064a\u0629-\u063a\u064a\u0631-\u0639\u0642\u0644\u0627\u0646\u064a\u0629\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u0630\u0631 - \u0645\u0627\u062b\u0648\u0631\u064a\u062a\u064a\" \/>\n<meta property=\"og:description\" content=\"\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0623\u062e\u0630 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 (\u0623\u0648 \u062f\u0627\u0644\u0629 \u062c\u0630\u0631\u064a\u0629). \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u0642\u0633\u0645\u0629 \u0627\u0644\u062c\u0630\u0648\u0631 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0630\u0648\u0631. \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631\u060c \u0623\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u064a\u0633\u0627\u0648\u064a \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631 (\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0623\u0633\u0641\u0644 \u0627\u0644\u062c\u0630\u0631) \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0624\u0634\u0631 \u0627\u0644\u062c\u0630\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062c\u0630\u0631\u060c \u0645\u0639 \u0637\u0631\u062d 1 \u0645\u0646 \u0623\u0633 \u0627\u0644\u062c\u0630\u0631. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u062c\u0630\u0631 &hellip; \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631 \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u062f\u0627\u0644\u0629-\u062c\u0630\u0631\u064a\u0629-\u063a\u064a\u0631-\u0639\u0642\u0644\u0627\u0646\u064a\u0629\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T19:47:19+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d68fa956b939a4e9a483fc43509a3e5c_l3.png\" \/>\n<meta name=\"author\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/\"},\"author\":{\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\"},\"headline\":\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631\",\"datePublished\":\"2023-07-03T19:47:19+00:00\",\"dateModified\":\"2023-07-03T19:47:19+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/\"},\"wordCount\":10,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"articleSection\":[\"\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a\"],\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/\",\"url\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/\",\"name\":\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u0630\u0631 - \u0645\u0627\u062b\u0648\u0631\u064a\u062a\u064a\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/#website\"},\"datePublished\":\"2023-07-03T19:47:19+00:00\",\"dateModified\":\"2023-07-03T19:47:19+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#breadcrumb\"},\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ar\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ar\/#website\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"name\":\"Mathority\",\"description\":\"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ar\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ar\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ar\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\",\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"\u0641\u0631\u064a\u0642 Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/ar\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u0630\u0631 - \u0645\u0627\u062b\u0648\u0631\u064a\u062a\u064a","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u062f\u0627\u0644\u0629-\u062c\u0630\u0631\u064a\u0629-\u063a\u064a\u0631-\u0639\u0642\u0644\u0627\u0646\u064a\u0629\/","og_locale":"ar_AR","og_type":"article","og_title":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u0630\u0631 - \u0645\u0627\u062b\u0648\u0631\u064a\u062a\u064a","og_description":"\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0623\u062e\u0630 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 (\u0623\u0648 \u062f\u0627\u0644\u0629 \u062c\u0630\u0631\u064a\u0629). \u0633\u062a\u062c\u062f \u0635\u064a\u063a\u0629 \u0642\u0633\u0645\u0629 \u0627\u0644\u062c\u0630\u0648\u0631 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062c\u0630\u0648\u0631. \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u0630\u0631 \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631\u060c \u0623\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u064a\u0633\u0627\u0648\u064a \u0645\u0634\u062a\u0642 \u0627\u0644\u062c\u0630\u0631 (\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0623\u0633\u0641\u0644 \u0627\u0644\u062c\u0630\u0631) \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0624\u0634\u0631 \u0627\u0644\u062c\u0630\u0631 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u062c\u0630\u0631\u060c \u0645\u0639 \u0637\u0631\u062d 1 \u0645\u0646 \u0623\u0633 \u0627\u0644\u062c\u0630\u0631. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u062c\u0630\u0631 &hellip; \u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631 \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;","og_url":"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u062f\u0627\u0644\u0629-\u062c\u0630\u0631\u064a\u0629-\u063a\u064a\u0631-\u0639\u0642\u0644\u0627\u0646\u064a\u0629\/","article_published_time":"2023-07-03T19:47:19+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d68fa956b939a4e9a483fc43509a3e5c_l3.png"}],"author":"\u0641\u0631\u064a\u0642 Mathority","twitter_card":"summary_large_image","twitter_misc":{"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629":"\u0641\u0631\u064a\u0642 Mathority"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/"},"author":{"name":"\u0641\u0631\u064a\u0642 Mathority","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613"},"headline":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631","datePublished":"2023-07-03T19:47:19+00:00","dateModified":"2023-07-03T19:47:19+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/"},"wordCount":10,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"articleSection":["\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a"],"inLanguage":"ar","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/","url":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/","name":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u062c\u0630\u0631 - \u0645\u0627\u062b\u0648\u0631\u064a\u062a\u064a","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/#website"},"datePublished":"2023-07-03T19:47:19+00:00","dateModified":"2023-07-03T19:47:19+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%af%d8%a7%d9%84%d8%a9-%d8%ac%d8%b0%d8%b1%d9%8a%d8%a9-%d8%ba%d9%8a%d8%b1-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ar\/"},{"@type":"ListItem","position":2,"name":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0631"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ar\/#website","url":"https:\/\/mathority.org\/ar\/","name":"Mathority","description":"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!","publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ar\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ar"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ar\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ar\/","logo":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613","name":"\u0641\u0631\u064a\u0642 Mathority","image":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"\u0641\u0631\u064a\u0642 Mathority"},"sameAs":["http:\/\/mathority.org\/ar"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/383","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/comments?post=383"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/383\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/media?parent=383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/categories?post=383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/tags?post=383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}