{"id":400,"date":"2023-07-03T02:11:56","date_gmt":"2023-07-03T02:11:56","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%be%d0%b4%d0%bd%d0%b0%d1%8f-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%be%d0%b3%d0%be-%d0%b0%d1%80%d0%ba%d1%81%d0%b5%d0%ba\/"},"modified":"2023-07-03T02:11:56","modified_gmt":"2023-07-03T02:11:56","slug":"%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%be%d0%b4%d0%bd%d0%b0%d1%8f-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%be%d0%b3%d0%be-%d0%b0%d1%80%d0%ba%d1%81%d0%b5%d0%ba","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%be%d0%b4%d0%bd%d0%b0%d1%8f-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%be%d0%b3%d0%be-%d0%b0%d1%80%d0%ba%d1%81%d0%b5%d0%ba\/","title":{"rendered":"\u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-arcosecante-hiperbolica\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 x \u0440\u0430\u0432\u043d\u0430 \u043c\u0438\u043d\u0443\u0441 1, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 x, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 \u043a\u043e\u0440\u0435\u043d\u044c \u0438\u0437 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u043c\u0438\u043d\u0443\u0441 x \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30fd2d0fe7abd6d3774eaff22e8e762e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-1}{x\\sqrt{1-x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> \u0440\u0430\u0432\u043d\u0430 \u043c\u0438\u043d\u0443\u0441 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 \u043a\u043e\u0440\u0435\u043d\u044c \u0438\u0437 \u0435\u0434\u0438\u043d\u0438\u0446\u044b, \u043c\u0438\u043d\u0443\u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12cb116a10cdca4bf5b49f2d06d69a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-u'}{u\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0442\u0430\u043a\u043e\u0432\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derive-de-larcosecant-hyperbolique.webp\" alt=\"\u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0438\u0437 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430\" class=\"wp-image-2786\" width=\"395\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041e\u0431\u0430 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0435, \u043d\u043e \u043a\u043e \u0432\u0442\u043e\u0440\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0446\u0435\u043f\u043e\u0447\u043a\u0438. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u0435\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u0435 u \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 x, \u0432\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0435 \u043f\u0435\u0440\u0432\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f x \u0440\u0430\u0432\u043d\u0430 1. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-arcosecante-hiperbolica\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0432\u0438\u0434\u0435\u0432, \u043a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430, \u043c\u044b \u0440\u0435\u0448\u0438\u043c \u0434\u0432\u0430 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0445 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u044b\u0445. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0442\u043e\u0447\u043d\u043e \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1<\/h3>\n<p> \u0412 \u044d\u0442\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043c\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 2x.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4e859277c6f50c7ea081153c8e79781_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0435 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043e\u0442\u043b\u0438\u0447\u043d\u0430\u044f \u043e\u0442 x, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0446\u0435\u043f\u043d\u043e\u0433\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u0434\u043b\u044f \u0435\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12cb116a10cdca4bf5b49f2d06d69a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-u'}{u\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u0424\u0443\u043d\u043a\u0446\u0438\u044f 2x \u043b\u0438\u043d\u0435\u0439\u043d\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0440\u0430\u0432\u043d\u0430 2. \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e, \u043c\u044b \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c 2x \u0432\u043c\u0435\u0441\u0442\u043e u \u0438 2 \u0432\u043c\u0435\u0441\u0442\u043e u&#8217; \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-85f083f6c0009277265cca483ec04ac9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-2}{2x\\sqrt{1-(2x)^2}}=\\cfrac{-2}{2x\\sqrt{1-4x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"582\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2<\/h3>\n<p> \u0412\u043e \u0432\u0442\u043e\u0440\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438 \u043c\u044b \u0432\u044b\u0432\u0435\u0434\u0435\u043c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0fc71b56d622872d79c469d74504f0fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(x^3-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441\u043b\u043e\u0436\u043d\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441 \u0438\u043c\u0435\u0435\u0442 \u0432 \u0441\u0432\u043e\u0435\u043c \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0435 \u0435\u0449\u0435 \u043e\u0434\u043d\u0443 \u0444\u0443\u043d\u043a\u0446\u0438\u044e. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0441 \u0446\u0435\u043f\u043d\u044b\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e\u043c \u0434\u043b\u044f \u0435\u0435 \u0432\u044b\u0432\u043e\u0434\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12cb116a10cdca4bf5b49f2d06d69a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-u'}{u\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0435 \u0434\u0440\u043e\u0431\u0438 \u0441\u0442\u0430\u0432\u0438\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0430, \u0430 \u0432 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435 \u043c\u0435\u043d\u044f\u0435\u043c u \u043d\u0430 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f6389de5c7761fb5d35a9861156eec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f(x)=\\text{arcsech}(x^3-4x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black}f'(x)&amp;=\\cfrac{-(3x^2-4)}{(x^3-4x)\\sqrt{1-(x^3-4x)^2}}\\\\[1.5ex] &amp;=\\cfrac{-3x^2+4}{(x^3-4x)\\sqrt{1-(x^3-4x)^2}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"117\" width=\"610\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"articulos-relacionados\"><\/span> \u041f\u043e\u0445\u043e\u0436\u0438\u0435 \u0442\u043e\u0432\u0430\u0440\u044b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> <span style=\"text-decoration: underline;\"> \u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0441\u0435\u043a\u0443\u0449\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f <\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"> \u0413\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0430\u0440\u043a\u0441\u0438\u043d\u0443\u0441\u0430 <\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"> \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0441\u0438\u043d\u0443\u0441\u0430 <\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"> \u0410\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u043d\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f <\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"> \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043e\u0442 \u0441\u0435\u043a\u0443\u0449\u0435\u0439 <\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"> \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0430\u0440\u043a\u0441\u0438\u043d\u0443\u0441\u0430 <\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"> \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0438\u0437 \u0441\u0438\u043d\u0443\u0441\u0430 <\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 x \u0440\u0430\u0432\u043d\u0430 \u043c\u0438\u043d\u0443\u0441 1, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 x, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0435 \u043d\u0430 \u043a\u043e\u0440\u0435\u043d\u044c \u0438\u0437 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u043c\u0438\u043d\u0443\u0441 x \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0435. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0432\u043d\u0430 \u043c\u0438\u043d\u0443\u0441 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%be%d0%b4%d0%bd%d0%b0%d1%8f-%d0%b3%d0%b8%d0%bf%d0%b5%d1%80%d0%b1%d0%be%d0%bb%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%be%d0%b3%d0%be-%d0%b0%d1%80%d0%ba%d1%81%d0%b5%d0%ba\/\"> <span class=\"screen-reader-text\">\u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &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-400","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>\u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0430\u0440\u043a\u0441\u0435\u043a\u0430\u043d\u0441\u0430 - \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c<\/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\/ru\/\u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f-\u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e-\u0430\u0440\u043a\u0441\u0435\u043a\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f 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