{"id":384,"date":"2023-07-03T04:11:00","date_gmt":"2023-07-03T04:11:00","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%8f%8d%e6%ad%a3%e5%88%87%e7%9a%84%e5%af%bc%e6%95%b0\/"},"modified":"2023-07-03T04:11:00","modified_gmt":"2023-07-03T04:11:00","slug":"%e5%8f%8d%e6%ad%a3%e5%88%87%e7%9a%84%e5%af%bc%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%8f%8d%e6%ad%a3%e5%88%87%e7%9a%84%e5%af%bc%e6%95%b0\/","title":{"rendered":"\u53cd\u4f59\u5207\u7684\u5bfc\u6570"},"content":{"rendered":"<p>\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u53cd\u4f59\u5207\u5bfc\u6570\u7684\u516c\u5f0f\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u7684\u53cd\u4f59\u5207\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-arcocotangente\"><\/span>\u53cd\u4f59\u5207\u5bfc\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><strong>x \u53cd\u6b63\u5207\u7684\u5bfc\u6570\u662f\u8d1f\u4e00\u9664\u4ee5\u4e00\u52a0 x \u7684\u5e73\u65b9\u3002<\/strong><\/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-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>\u56e0\u6b64\uff0c<strong>\u51fd\u6570\u53cd\u4f59\u5207\u7684\u5bfc\u6570<\/strong>\u7b49\u4e8e\u51cf\u53bb\u8be5\u51fd\u6570\u7684\u5bfc\u6570\u9664\u4ee5\u4e00\u52a0\u4e0a\u51fd\u6570\u7684\u5e73\u65b9\u3002<\/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-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>\u8bf7\u6ce8\u610f\uff0c\u7b2c\u4e00\u4e2a\u548c\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u662f\u76f8\u540c\u7684\uff0c\u552f\u4e00\u7684\u533a\u522b\u662f\u94fe\u5f0f\u6cd5\u5219\u5e94\u7528\u4e8e\u7b2c\u4e8c\u4e2a\u8868\u8fbe\u5f0f\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5982\u679c\u7528 x \u4ee3\u66ff u\uff0c\u5c31\u4f1a\u5f97\u5230\u7b2c\u4e00\u4e2a\u516c\u5f0f\uff0c\u56e0\u4e3a\u51fd\u6570 x \u7684\u5bfc\u6570\u4e3a 1\u3002 <\/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\/derivee-de-larctangente.webp\" alt=\"\u7531\u53cd\u4f59\u5207\u5bfc\u51fa\" class=\"wp-image-2747\" width=\"390\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u867d\u7136\u53cd\u4f59\u5207\u662f\u4f59\u5207\u7684\u53cd\u51fd\u6570\uff0c\u4f46\u5b83\u4eec\u7684\u5bfc\u6570\u5374\u6709\u5f88\u5927\u4e0d\u540c\u3002\u4e8b\u5b9e\u4e0a\uff0c\u51fd\u6570\u7684\u4f59\u5207\u6709\u4e09\u79cd\u6c42\u5bfc\u65b9\u6cd5\uff0c\u4f60\u53ef\u4ee5\u5728\u8fd9\u91cc\u770b\u5230\u5b83\u4eec\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4f59\u5207\u503c\u7684\u5bfc\u6570\/\">\u4f59\u5207\u5bfc\u6570\u516c\u5f0f<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcocotangente\"><\/span>\u53cd\u4f59\u5207\u5bfc\u6570\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u4e86\u53cd\u4f59\u5207\u5bfc\u6570\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u4e4b\u540e\uff0c\u8fd9\u91cc\u6709\u4e24\u4e2a\u6b64\u7c7b\u4e09\u89d2\u5bfc\u6570\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u3002\u53e6\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u60a8\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u53ef\u4ee5\u5728\u4e0b\u9762\u7684\u8bc4\u8bba\u4e2d\u7559\u4e0b\u60a8\u7684\u95ee\u9898\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-46cfc7df-b680-41c2-ad53-bd8a19834b32\">\u5b9e\u65bd\u4f8b1<\/h3>\n<p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4e8c\u6b21\u51fd\u6570 x <sup>2<\/sup>\u7684\u53cd\u4f59\u5207\u5bfc\u6570\u662f\u591a\u5c11\u3002<\/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-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\">\u5728\u53cd\u4f59\u5207\u7684\u53c2\u6570\u4e2d\uff0c\u6211\u4eec\u6709\u4e00\u4e2a x \u4ee5\u5916\u7684\u51fd\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u4f7f\u7528\u94fe\u5f0f\u6cd5\u5219\u5e94\u7528\u53cd\u4f59\u5207\u5bfc\u6570\u7684\u516c\u5f0f\uff1a<\/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-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\"> x \u7684\u5bfc\u6570\u4e3a 2\uff0c\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u5728\u5206\u5b50\u4e2d\u8f93\u5165 2x\uff0c\u5728\u5206\u6bcd\u4e2d\u8f93\u5165\u53c2\u6570\u5e73\u65b9\u7684\u51fd\u6570\uff1a <\/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-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\">\u5b9e\u65bd\u4f8b2<\/h3>\n<p>\u5728\u7b2c\u4e8c\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u5c06\u5bfc\u51fa\u4e09\u6b21\u591a\u9879\u5f0f\u51fd\u6570\u7684\u53cd\u4f59\u5207\u3002<\/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-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\">\u6211\u4eec\u5229\u7528\u53cd\u4f59\u5207\u5bfc\u6570\u6cd5\u5219\u6765\u6c42\u5bfc\uff1a<\/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-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\">\u6240\u4ee5\u51fd\u6570\u7684\u53cd\u4f59\u5207\u503c\u7684\u5bfc\u6570\u4e3a\uff1a<\/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-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>\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u53cd\u4f59\u5207\u5bfc\u6570\u7684\u516c\u5f0f\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u5982\u4f55\u5bfc\u51fa\u51fd\u6570\u7684\u53cd\u4f59\u5207\u3002 \u53cd\u4f59\u5207\u5bfc\u6570\u516c\u5f0f x \u53cd\u6b63\u5207\u7684\u5bfc\u6570\u662f\u8d1f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%8f%8d%e6%ad%a3%e5%88%87%e7%9a%84%e5%af%bc%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u53cd\u4f59\u5207\u7684\u5bfc\u6570<\/span> \u67e5\u770b\u5168\u6587 &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-384","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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