{"id":393,"date":"2023-07-03T04:11:00","date_gmt":"2023-07-03T04:11:00","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e9%80%86%e6%ad%a3%e6%8e%a5%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/"},"modified":"2023-07-03T04:11:00","modified_gmt":"2023-07-03T04:11:00","slug":"%e9%80%86%e6%ad%a3%e6%8e%a5%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e9%80%86%e6%ad%a3%e6%8e%a5%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u793a\u3057\u3001\u95a2\u6570\u306e\u9006\u4f59\u63a5\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-arcocotangente\"><\/span>\u9006\u4f59\u63a5\u5fae\u5206\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><strong>x \u306e\u9006\u6b63\u63a5\u306e\u5c0e\u95a2\u6570\u306f\u3001\u8ca0\u306e 1 \u3092 1 \u3067\u5272\u3063\u305f\u5024\u306b x \u306e 2 \u4e57\u3092\u52a0\u3048\u305f\u3082\u306e\u3067\u3059\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>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u95a2\u6570\u306e\u9006\u6b63\u63a5\u306e\u5fae\u5206\u5024<\/strong>\u306f\u3001\u305d\u306e\u95a2\u6570\u306e\u5fae\u5206\u5024\u3092 1 \u3067\u5272\u3063\u305f\u5024\u3092\u5f15\u3044\u305f\u5024\u306b 2 \u4e57\u95a2\u6570\u3092\u52a0\u3048\u305f\u5024\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\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>\u6700\u521d\u3068 2 \u756a\u76ee\u306e\u5f0f\u306f\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u552f\u4e00\u306e\u9055\u3044\u306f\u3001\u9023\u9396\u30eb\u30fc\u30eb\u304c 2 \u756a\u76ee\u306e\u5f0f\u306b\u9069\u7528\u3055\u308c\u308b\u3053\u3068\u3067\u3059\u3002\u5b9f\u969b\u3001u \u3092 x \u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001\u95a2\u6570 x \u306e\u5c0e\u95a2\u6570\u306f 1 \u3067\u3042\u308b\u305f\u3081\u3001\u6700\u521d\u306e\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\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=\"\u9006\u4f59\u63a5\u304b\u3089\u5c0e\u51fa\" class=\"wp-image-2747\" width=\"390\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u9006\u4f59\u63a5\u306f\u4f59\u63a5\u306e\u9006\u95a2\u6570\u3067\u3059\u304c\u3001\u305d\u308c\u3089\u306e\u5c0e\u95a2\u6570\u306f\u307e\u3063\u305f\u304f\u7570\u306a\u308a\u307e\u3059\u3002\u5b9f\u969b\u3001\u95a2\u6570\u306e\u30b3\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u3092\u5c0e\u51fa\u3059\u308b\u306b\u306f 3 \u3064\u306e\u65b9\u6cd5\u304c\u3042\u308a\u3001\u305d\u308c\u3089\u306f\u3059\u3079\u3066\u3053\u3053\u3067\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30b3\u30bf\u30f3\u30b7\u3099\u30a7\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\/\">\u30b3\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcocotangente\"><\/span>\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u5f8c\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e09\u89d2\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e 2 \u3064\u306e\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u3054\u8cea\u554f\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u4ee5\u4e0b\u306e\u30b3\u30e1\u30f3\u30c8\u6b04\u306b\u8cea\u554f\u3092\u6b8b\u3057\u3066\u3044\u305f\u3060\u3051\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-46cfc7df-b680-41c2-ad53-bd8a19834b32\">\u4f8b1<\/h3>\n<p>\u3053\u306e\u4f8b\u3067\u306f\u3001\u4e8c\u6b21\u95a2\u6570 x <sup>2<\/sup>\u306e\u9006\u4f59\u63a5\u306e\u5fae\u5206\u304c\u3069\u306e\u304f\u3089\u3044\u306b\u306a\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\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\">\u9006\u4f59\u63a5\u306e\u5f15\u6570\u306b\u306f x \u4ee5\u5916\u306e\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u9023\u9396\u5247\u3092\u4f7f\u7528\u3057\u3066\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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 id=\"block-a4fe1876-f662-49c1-8d09-6a6c4b5528dd\"> x \u3092 2 \u306b\u7d2f\u4e57\u3057\u305f\u5c0e\u95a2\u6570\u306f 2x \u306a\u306e\u3067\u3001\u5206\u5b50\u306b 2x \u3092\u3001\u5206\u6bcd\u306b\u5f15\u6570\u306e 2 \u4e57\u306e\u95a2\u6570\u3092\u5165\u529b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-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\">\u4f8b 2<\/h3>\n<p>\u3053\u306e 2 \u756a\u76ee\u306e\u4f8b\u3067\u306f\u30013 \u6b21\u591a\u9805\u5f0f\u95a2\u6570\u306e\u9006\u4f59\u63a5\u3092\u5c0e\u51fa\u3057\u307e\u3059\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\">\u9006\u4f59\u63a5\u5c0e\u95a2\u6570\u30eb\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u5c0e\u51fa\u3092\u884c\u3044\u307e\u3059\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 id=\"block-6abf3c5a-c400-48c6-8375-c05fcb255b20\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-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>\u3053\u3053\u3067\u306f\u3001\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u793a\u3057\u3001\u95a2\u6570\u306e\u9006\u4f59\u63a5\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u307e\u3059\u3002 \u9006\u4f59\u63a5\u5fae\u5206\u516c\u5f0f x \u306e\u9006\u6b63\u63a5\u306e\u5c0e\u95a2\u6570\u306f\u3001\u8ca0\u306e 1 \u3092 1 \u3067\u5272\u3063\u305f\u5024\u306b x \u306e 2 \u4e57\u3092\u52a0\u3048\u305f\u3082\u306e\u3067\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u9006\u6b63\u63a5 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e9%80%86%e6%ad%a3%e6%8e%a5%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u9006\u4f59\u63a5\u306e\u5c0e\u95a2\u6570<\/span> \u3082\u3063\u3068\u8aad\u3080 &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-393","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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