{"id":397,"date":"2023-07-03T04:11:00","date_gmt":"2023-07-03T04:11:00","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%b8%d9%84-%d8%a7%d9%84%d8%b2%d8%a7%d9%88%d9%8a%d8%a9\/"},"modified":"2023-07-03T04:11:00","modified_gmt":"2023-07-03T04:11:00","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%b8%d9%84-%d8%a7%d9%84%d8%b2%d8%a7%d9%88%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%b8%d9%84-%d8%a7%d9%84%d8%b2%d8%a7%d9%88%d9%8a%d8%a9\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a \u0648\u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0644\u0623\u0645\u062b\u0644\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-arcocotangente\"><\/span> \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong><strong>\u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0644\u0640 x \u0647\u064a \u0633\u0627\u0644\u0628 \u0648\u0627\u062d\u062f \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0648\u0627\u062d\u062f \u0632\u0627\u0626\u062f x \u062a\u0631\u0628\u064a\u0639.<\/strong><\/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-50e6d74bd307289a24eb7f891974643f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{1}{1+x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"424\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u062b\u0645\u060c \u0641\u0625\u0646 <strong>\u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u062f\u0627\u0644\u0629<\/strong> \u064a\u0633\u0627\u0648\u064a \u0646\u0627\u0642\u0635 \u0645\u0634\u062a\u0642\u0629 \u062a\u0644\u0643 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0648\u0627\u062d\u062f \u0632\u0627\u0626\u062f \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4a94f9fe1b97f77b028dfe2296debcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"424\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u0635\u064a\u063a\u062a\u064a\u0646 \u0627\u0644\u0623\u0648\u0644\u0649 \u0648\u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u062a\u0645\u0627\u062b\u0644\u062a\u0627\u0646\u060c \u0648\u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0648\u062d\u064a\u062f \u0647\u0648 \u0623\u0646 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u064a\u062a\u0645 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062b\u0627\u0646\u064a. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0625\u0630\u0627 \u0642\u0645\u062a \u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 x \u0628\u0640 u\u060c \u0641\u0633\u062a\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0644\u0623\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 x \u0647\u0648 1. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derivee-de-larctangente.webp\" alt=\"\u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645\" class=\"wp-image-2747\" width=\"390\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0647\u0648 \u062f\u0627\u0644\u0629 \u0639\u0643\u0633\u064a\u0629 \u0644\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0625\u0644\u0627 \u0623\u0646 \u0645\u0634\u062a\u0642\u0627\u062a\u0647\u0645\u0627 \u0645\u062e\u062a\u0644\u0641\u0629 \u062a\u0645\u0627\u0645\u064b\u0627. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0647\u0646\u0627\u0643 \u062b\u0644\u0627\u062b \u0637\u0631\u0642 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0648\u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u062a\u0647\u0627 \u062c\u0645\u064a\u0639\u064b\u0627 \u0647\u0646\u0627:<\/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\/\u0645\u0634\u062a\u0642-\u0638\u0644-\u0627\u0644\u062a\u0645\u0627\u0645\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcocotangente\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0623\u0646 \u062a\u0639\u0631\u0641\u0646\u0627 \u0639\u0644\u0649 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a\u060c \u0625\u0644\u064a\u0643 \u062a\u0645\u0631\u064a\u0646\u0627\u0646 \u062a\u0645 \u062d\u0644\u0647\u0645\u0627 \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. \u0648\u062a\u0630\u0643\u0631 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0643 \u0623\u064a \u0623\u0633\u0626\u0644\u0629\u060c \u064a\u0645\u0643\u0646\u0643 \u062a\u0631\u0643 \u0633\u0624\u0627\u0644\u0643 \u0623\u062f\u0646\u0627\u0647 \u0641\u064a \u0627\u0644\u062a\u0639\u0644\u064a\u0642\u0627\u062a.<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-46cfc7df-b680-41c2-ad53-bd8a19834b32\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0646\u0631\u0649 \u0643\u0645 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 x <sup>2<\/sup> .<\/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-f643c789a6794a49d13eb08ba6a91fc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"145\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-2a112ce1-0dbe-43d5-95b3-4d8506c1a246\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0648\u0633\u064a\u0637\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a \u0644\u062f\u064a\u0646\u0627 \u062f\u0627\u0644\u0629 \u0623\u062e\u0631\u0649 \u063a\u064a\u0631 x\u060c \u0644\u0630\u0644\u0643 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \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-e4a94f9fe1b97f77b028dfe2296debcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"424\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p id=\"block-a4fe1876-f662-49c1-8d09-6a6c4b5528dd\" style=\";text-align:right;direction:rtl\"> \u0645\u0634\u062a\u0642 x \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0627\u062b\u0646\u064a\u0646 \u0647\u0648 2x\u060c \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0623\u0646 \u0646\u0636\u0639 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 2x \u0648\u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u062f\u0627\u0644\u0629 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eac3a555cca0fee987537eb7171a9145_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{2x}{1+(\\left(x^2\\right)^2}=-\\cfrac{2x}{1+x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"548\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-1446420a-0d61-44d3-9e31-8c5935a432a7\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0633\u0646\u0634\u062a\u0642 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\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-a62d6933c54de6f0c63f01a6edcaf0b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(x^3-9x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"216\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-0514a2ea-d85a-4b25-a7db-9c27533e7436\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0633\u062a\u062e\u062f\u0645 \u0642\u0627\u0639\u062f\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4a94f9fe1b97f77b028dfe2296debcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"424\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p id=\"block-6abf3c5a-c400-48c6-8375-c05fcb255b20\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\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-634cbaeb640fd0886691ef88d12afc52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccotg}(x^3-9x+2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{3x^2-9}{1+(x^3-9x+2)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"596\" style=\"vertical-align: -17px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a \u0648\u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0634\u062a\u0642\u0627\u0642 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0642\u0648\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0628\u0627\u0644\u0623\u0645\u062b\u0644\u0629. \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0644\u0640 x \u0647\u064a \u0633\u0627\u0644\u0628 \u0648\u0627\u062d\u062f \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0648\u0627\u062d\u062f \u0632\u0627\u0626\u062f x \u062a\u0631\u0628\u064a\u0639. \u0648\u0645\u0646 \u062b\u0645\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u062f\u0627\u0644\u0629 \u064a\u0633\u0627\u0648\u064a \u0646\u0627\u0642\u0635 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