{"id":397,"date":"2023-07-03T02:11:56","date_gmt":"2023-07-03T02:11:56","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%8f%8c%e6%9b%b2%e9%80%86%e6%ad%a3%e5%89%b2%e9%96%a2%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/"},"modified":"2023-07-03T02:11:56","modified_gmt":"2023-07-03T02:11:56","slug":"%e5%8f%8c%e6%9b%b2%e9%80%86%e6%ad%a3%e5%89%b2%e9%96%a2%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%8f%8c%e6%9b%b2%e9%80%86%e6%ad%a3%e5%89%b2%e9%96%a2%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u53cc\u66f2\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u95a2\u6570\u306e\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u53cc\u66f2\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u89e3\u6c7a\u4f8b\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-arcosecante-hiperbolica\"><\/span>\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u5fae\u5206\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>x \u306e\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u306e\u5c0e\u95a2\u6570\u306f\u3001x \u306e\u7a4d\u3067 1 \u306e\u5e73\u65b9\u6839\u3092\u5f15\u3044\u305f\u5024\u3067\u5272\u3063\u305f\u30de\u30a4\u30ca\u30b9 1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/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>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u95a2\u6570\u306e\u53cc\u66f2\u7dda\u30a2\u30fc\u30af\u30bb\u30ab\u30f3\u30c8\u306e\u5fae\u5206\u5024<\/strong>\u306f\u3001\u305d\u306e\u95a2\u6570\u306e\u5fae\u5206\u5024\u3092\u3001\u95a2\u6570\u306e\u7a4d\u3068 1 \u306e\u6839\u304b\u3089 2 \u4e57\u95a2\u6570\u3092\u5f15\u3044\u305f\u5024\u3067\u5272\u3063\u305f\u5024\u3092\u5f15\u3044\u305f\u3082\u306e\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-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>\u3064\u307e\u308a\u3001\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\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\/derive-de-larcosecant-hyperbolique.webp\" alt=\"\u53cc\u66f2\u9006\u6b63\u5272\u304b\u3089\u5c0e\u51fa\" class=\"wp-image-2786\" width=\"395\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e21\u65b9\u306e\u5f0f\u306f\u5b9f\u969b\u306b\u306f\u540c\u3058\u5f0f\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u304c\u30012 \u756a\u76ee\u306e\u5f0f\u306b\u306f\u9023\u9396\u898f\u5247\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u5b9f\u969b\u3001\u6052\u7b49\u95a2\u6570 x \u3092 u \u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001x \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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-arcosecante-hiperbolica\"><\/span>\u53cc\u66f2\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53cc\u66f2\u7dda\u30a2\u30fc\u30af\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3057\u305f\u5f8c\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u9006\u4e09\u89d2\u95a2\u6570\u5c0e\u95a2\u6570\u306e 2 \u3064\u306e\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u6b63\u78ba\u306b\u7406\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b1<\/h3>\n<p>\u3053\u306e\u4f8b\u3067\u306f\u30012x \u53cc\u66f2\u7dda\u30a2\u30fc\u30af\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u6c7a\u5b9a\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-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>\u53cc\u66f2\u9006\u6b63\u5272\u5f15\u6570\u306b\u306f x \u4ee5\u5916\u306e\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u3092\u5c0e\u51fa\u3059\u308b\u306b\u306f\u9023\u9396\u898f\u5247\u306e\u516c\u5f0f\u3092\u4f7f\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-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>\u95a2\u6570 2x \u306f\u7dda\u5f62\u306a\u306e\u3067\u3001\u5c0e\u95a2\u6570\u306f 2 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5c0e\u95a2\u6570\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u5358\u7d14\u306b u \u306b 2x \u3092\u3001u&#8217; \u306b 2 \u3092\u5f0f\u306b\u4ee3\u5165\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-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\">\u4f8b 2<\/h3>\n<p>\u3053\u306e 2 \u756a\u76ee\u306e\u6f14\u7fd2\u3067\u306f\u3001\u591a\u9805\u5f0f\u95a2\u6570\u306e\u53cc\u66f2\u7dda\u9006\u6b63\u5272\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-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>\u53cc\u66f2\u9006\u6b63\u5272\u95a2\u6570\u306b\u306f\u5f15\u6570\u306b\u5225\u306e\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u6f14\u7fd2\u306e\u95a2\u6570\u306f\u8907\u5408\u7684\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u53cc\u66f2\u7dda\u30a2\u30fc\u30af\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u516c\u5f0f\u3092\u9023\u9396\u898f\u5247\u3068\u3068\u3082\u306b\u4f7f\u7528\u3057\u3066\u3001\u305d\u306e\u5c0e\u51fa\u3092\u884c\u3046\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-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>\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6570\u306e\u5206\u5b50\u306b\u306f\u5f15\u6570\u306e\u591a\u9805\u5f0f\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u5165\u308c\u3001\u5206\u6bcd\u306b\u306f\u591a\u9805\u5f0f\u95a2\u6570\u306b\u3088\u3063\u3066 u \u3092\u5909\u66f4\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-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>\u985e\u4f3c\u5546\u54c1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u53cc\u66f2\u7dda\u6b63\u5272\u306e\u5c0e\u95a2\u6570\/\">\u53cc\u66f2\u7dda\u6b63\u5272\u5c0e\u95a2\u6570<\/a><\/span><\/li>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u53cc\u66f2\u7dda\u30e9\u30eb\u30b3\u30b7\u30f3\u8a98\u5c0e\u4f53\/\">\u53cc\u66f2\u7dda\u9006\u6b63\u5f26\u5c0e\u95a2\u6570<\/a><\/span><\/li>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u53cc\u66f2\u7dda\u6b63\u5f26\u5c0e\u95a2\u6570\/\">\u53cc\u66f2\u7dda\u6b63\u5f26\u306e\u5c0e\u95a2\u6570<\/a><\/span><\/li>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30a2\u30fc\u30af\u30bb\u30ab\u30f3\u30c8\u30c8\u3099\u30ea\u30d5\u30c8\/\">\u30a2\u30fc\u30af\u30bb\u30ab\u30f3\u30c8\u5c0e\u95a2\u6570<\/a><\/span><\/li>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\/\">\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570<\/a><\/span><\/li>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30e9\u30eb\u30b3\u30b7\u30f3\u8a98\u5c0e\u4f53\/\">\u9006\u6b63\u5f26\u5c0e\u95a2\u6570<\/a><\/span><\/li>\n<li><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u6d1e\u8a98\u5c0e\u4f53\/\">\u6b63\u5f26\u304b\u3089\u5c0e\u51fa<\/a><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u95a2\u6570\u306e\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u53cc\u66f2\u9006\u6b63\u5272\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u89e3\u6c7a\u4f8b\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002 \u53cc\u66f2\u7dda\u9006\u6b63\u5272\u5fae\u5206\u516c\u5f0f x \u306e\u53cc\u66f2\u7dda\u9006\u6b63\u5272\u306e\u5c0e\u95a2\u6570\u306f\u3001x \u306e\u7a4d\u3067 1 \u306e\u5e73\u65b9\u6839\u3092\u5f15\u3044\u305f\u5024\u3067\u5272\u3063\u305f\u30de &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%8f%8c%e6%9b%b2%e9%80%86%e6%ad%a3%e5%89%b2%e9%96%a2%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u53cc\u66f2\u9006\u6b63\u5272\u95a2\u6570\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-397","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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