{"id":392,"date":"2023-07-03T10:10:06","date_gmt":"2023-07-03T10:10:06","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d8%a3%d8%b1%d9%83%d9%88%d8%b3%d9%8a%d9%86-%d8%a7%d9%84%d8%b2%d8%a7%d8%a6%d8%af%d9%8a\/"},"modified":"2023-07-03T10:10:06","modified_gmt":"2023-07-03T10:10:06","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d8%a3%d8%b1%d9%83%d9%88%d8%b3%d9%8a%d9%86-%d8%a7%d9%84%d8%b2%d8%a7%d8%a6%d8%af%d9%8a","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d8%a3%d8%b1%d9%83%d9%88%d8%b3%d9%8a%d9%86-%d8%a7%d9%84%d8%b2%d8%a7%d8%a6%d8%af%d9%8a\/","title":{"rendered":"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u062a\u0631\u0649 \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a (\u0627\u0644\u0635\u064a\u063a\u0629). \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0644\u062f\u0627\u0644\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u062a\u062c\u062f \u062a\u0648\u0636\u064a\u062d\u064b\u0627 \u0644\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\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-arcocoseno-hiperbolico\"><\/span> \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0634\u062a\u0642 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0640 x \u0647\u0648 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0640 x \u062a\u0631\u0628\u064a\u0639 \u0646\u0627\u0642\u0635 1.<\/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-cf6cb0ef7aae071322695ae7c8455d1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{\\sqrt{x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"426\" style=\"vertical-align: -16px;\"><\/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 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u062f\u0627\u0644\u0629<\/strong> \u064a\u0633\u0627\u0648\u064a \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0645\u0634\u062a\u0642\u0629 \u062a\u0644\u0643 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u062a\u0644\u0643 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0631\u0628\u064a\u0639 \u0646\u0627\u0642\u0635 \u0648\u0627\u062d\u062f.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-675bee296952a25c6048af071e7ce4e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"427\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0636\u0645\u0646 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0623\u064a \u0623\u0631\u0643\u0648\u0633\u064a\u0646 \u0632\u0627\u0626\u062f\u064a. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 u \u0628\u0640 x\u060c \u0641\u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649. \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u062a\u0639\u0645\u0644 \u0641\u0642\u0637 \u0645\u0639 \u0645\u0634\u062a\u0642 \u0623\u0631\u0643\u0648\u0633\u064a\u0646 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0640 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\/derivee-de-larccosine-hyperbolique.webp\" alt=\"\u0645\u0634\u062a\u0642 \u0645\u0646 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\" class=\"wp-image-2337\" width=\"403\" height=\"305\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0631\u0643\u0648\u0633\u064a\u0646 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0647\u0648 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0645\u0631\u062a\u0628\u0637\u062a\u0627\u0646. \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0628\u0627\u0644\u0636\u063a\u0637 \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-\u062c\u064a\u0628-\u0627\u0644\u062a\u0645\u0627\u0645-\u0627\u0644\u0632\u0627\u064a\u0654\u062f\u064a\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<\/a><\/span> <span style=\"text-decoration: underline;\"><\/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-arcoseno-hiperbolico\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642 \u0623\u0631\u0643\u0633\u064a\u0646 \u0627\u0644\u0642\u0637\u0639\u064a <span class=\"ez-toc-section-end\"><\/span><\/h2>\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\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83158beb1fa0dda8f8a6469cc6f87cd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(5x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"147\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-2a112ce1-0dbe-43d5-95b3-4d8506c1a246\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u0623\u0631\u0643\u0648\u0633\u064a\u0646 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0627\u060c \u0648\u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-675bee296952a25c6048af071e7ce4e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"427\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-a4fe1876-f662-49c1-8d09-6a6c4b5528dd\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0641\u064a \u0628\u0633\u0637 \u0627\u0644\u0643\u0633\u0631 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0648\u0636\u0639 \u0645\u0634\u062a\u0642 5x\u060c \u0648\u0647\u0648 5. \u0648\u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0648\u0636\u0639 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 \u062a\u0631\u0628\u064a\u0639 \u0646\u0627\u0642\u0635 1: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8704c0fb8ce82efc60e67bbca363b205_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(5x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{5}{\\sqrt{(5x)^2-1}}=\\cfrac{5}{\\sqrt{25x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"567\" 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\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07f0e806641b4f8ddc3441faa6059bc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(x^4-5x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-0514a2ea-d85a-4b25-a7db-9c27533e7436\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u064a \u0633\u064a\u062a\u0645 \u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u0647\u064a \u0623\u0631\u0643\u0648\u0633\u064a\u0646 \u0632\u0627\u0626\u062f\u064a\u060c \u0644\u0630\u0644\u0643 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-675bee296952a25c6048af071e7ce4e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"427\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-6abf3c5a-c400-48c6-8375-c05fcb255b20\" style=\";text-align:right;direction:rtl\"> \u0648\u0647\u0643\u0630\u0627 \u0646\u0643\u062a\u0628 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0645\u0634\u062a\u0642\u0629 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0648\u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u062f\u0627\u0644\u0629 \u0648\u0633\u064a\u0637\u0629 \u0645\u0631\u0641\u0648\u0639\u064b\u0627 \u0625\u0644\u0649 2 \u0646\u0627\u0642\u0635 1: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-376cce9ffe78b04c056d4aa90af1be3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arccosh}(x^4-5x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{4x^3-10x}{\\sqrt{\\left(x^4-5x^2\\right)^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"555\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-del-arcocoseno-hiperbolico\"><\/span> \u0625\u062b\u0628\u0627\u062a \u0645\u0634\u062a\u0642\u0629 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<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 \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\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-48f91a3e46d7a7275e54619efd3ede1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\text{arccosh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0648\u064a\u0644 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0625\u0644\u0649 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\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-7032f56de52ca8602783ca5f4bbb0767_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\text{cosh}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"90\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u0646\u062a\u062c \u0645\u0646 \u0637\u0631\u0641\u064a \u0627\u0644\u0645\u0633\u0627\u0648\u0627\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-56122b4a5ee02b2c4c6f62751b5b21b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1=\\text{senh}(y)\\cdot y'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0648\u0636\u062d \u0644\u0643:<\/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-7848ebafab6456313be4d737917b898a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\text{senh}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"97\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0622\u0646 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0648\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u062a\u0639\u062f\u064a\u0644 \u0627\u0644\u0645\u0642\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-c45c9cefda55a71bba2eb8cfe1c3a861_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}^2(y)-\\text{senh}^2(y)=1 \\ \\longrightarrow \\ \\text{senh}(y)=\\sqrt{\\text{cosh}^2(y)-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"428\" style=\"vertical-align: -9px;\"><\/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-5b7a01a3b50f15a8b5ac0df596cfb1e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{\\text{cosh}^2(y)-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"152\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0623\u0648\u0644\u0627\u064b\u060c \u0627\u0633\u062a\u0646\u062a\u062c\u0646\u0627 \u0623\u0646 x \u064a\u0639\u0627\u062f\u0644 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0640 y\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u062a\u0638\u0644 \u0627\u0644\u0645\u0639\u0627\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-01f9e07a0c0f68a771edda2395685299_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"103\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"articulos-relacionados\"><\/span> \u0645\u0646\u062a\u062c\u0627\u062a \u0645\u0634\u0627\u0628\u0647\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u0642\u0627\u0637\u0639-\u0627\u0644\u062a\u0645\u0627\u0645-\u0627\u0644\u0632\u0627\u064a\u0654\u062f\u064a\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<\/a><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0642\u0648\u0633\u064a\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0642\u0648\u0633\u064a\u0629<\/a><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u0642\u0627\u0637\u0639-\u0627\u0644\u062a\u0645\u0627\u0645\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0643\u0648\u0632\u064a\u0643\u0627\u0646\u062a<\/a><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0644\u0627\u0631\u0643\u0648\u0633\u064a\u0646\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u0623\u0631\u0643\u0648\u0633\u064a\u0646<\/a><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0634\u062a\u0642-\u0645\u0646-\u062c\u064a\u0628-\u0627\u0644\u062a\u0645\u0627\u0645\/\">\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645<\/a><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u062a\u0631\u0649 \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a (\u0627\u0644\u0635\u064a\u063a\u0629). \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0644\u062f\u0627\u0644\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u062a\u062c\u062f \u062a\u0648\u0636\u064a\u062d\u064b\u0627 \u0644\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0645\u0634\u062a\u0642 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0640 x \u0647\u0648 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0640 x &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d8%a3%d8%b1%d9%83%d9%88%d8%b3%d9%8a%d9%86-%d8%a7%d9%84%d8%b2%d8%a7%d8%a6%d8%af%d9%8a\/\"> <span class=\"screen-reader-text\">\u0645\u0634\u062a\u0642 \u0645\u0646 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[6],"tags":[],"class_list":["post-392","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 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a - Mathority<\/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-\u0623\u0631\u0643\u0648\u0633\u064a\u0646-\u0627\u0644\u0632\u0627\u0626\u062f\u064a\/\" \/>\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 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u062a\u0631\u0649 \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a (\u0627\u0644\u0635\u064a\u063a\u0629). \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0644\u062f\u0627\u0644\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u062a\u062c\u062f \u062a\u0648\u0636\u064a\u062d\u064b\u0627 \u0644\u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642\u0629 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0645\u0634\u062a\u0642 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \u0644\u0640 x \u0647\u0648 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0640 x &hellip; \u0645\u0634\u062a\u0642 \u0645\u0646 \u0642\u0648\u0633 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0626\u062f\u064a \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-\u0623\u0631\u0643\u0648\u0633\u064a\u0646-\u0627\u0644\u0632\u0627\u0626\u062f\u064a\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T10:10:06+00:00\" \/>\n<meta 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