{"id":382,"date":"2023-07-03T16:55:30","date_gmt":"2023-07-03T16:55:30","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%a9%e3%83%ab%e3%82%b3%e3%82%b7%e3%83%b3%e8%aa%98%e5%b0%8e%e4%bd%93\/"},"modified":"2023-07-03T16:55:30","modified_gmt":"2023-07-03T16:55:30","slug":"%e3%83%a9%e3%83%ab%e3%82%b3%e3%82%b7%e3%83%b3%e8%aa%98%e5%b0%8e%e4%bd%93","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%a9%e3%83%ab%e3%82%b3%e3%82%b7%e3%83%b3%e8%aa%98%e5%b0%8e%e4%bd%93\/","title":{"rendered":"\u9006\u6b63\u5f26\u5c0e\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u95a2\u6570\u306e\u9006\u6b63\u5f26\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u95a2\u6570\u306e\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570\u306e\u4f8b\u304c\u3042\u308a\u3001\u30b9\u30c6\u30c3\u30d7\u3054\u3068\u306b\u89e3\u3044\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u9006\u6b63\u5f26\u5fae\u5206\u516c\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3082\u3054\u89a7\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-del-arcoseno\"><\/span>\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>x \u306e\u9006\u6b63\u5f26\u5c0e\u95a2\u6570\u306f\u30011 \u306e\u5e73\u65b9\u6839\u304b\u3089 x \u306e 2 \u4e57\u3092\u5f15\u3044\u305f\u3082\u306e\u3067\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-924f0591661727fa46ea5f69bff39401_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{\\sqrt{1-x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u95a2\u6570\u306e\u9006\u6b63\u5f26\u306e\u5fae\u5206\u5024<\/strong>\u306f\u3001\u305d\u306e\u95a2\u6570\u306e\u5fae\u5206\u5024\u3092 1 \u306e\u5e73\u65b9\u6839\u3067\u5272\u3063\u305f\u5546\u304b\u3089\u95a2\u6570\u306e 2 \u4e57\u3092\u5f15\u3044\u305f\u3082\u306e\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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u30012 \u756a\u76ee\u306e\u5f0f\u306f\u6700\u521d\u306e\u5f0f\u306b\u9023\u9396\u5247\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derive-de-larcosine.webp\" alt=\"\u9006\u6b63\u5f26\u5c0e\u95a2\u6570\" class=\"wp-image-1952\" width=\"403\" height=\"304\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u9006\u6b63\u5f26\u306f\u6b63\u5f26\u306e\u9006\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u9006\u6b63\u5f26\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcoseno\"><\/span>\u9006\u6b63\u5f26\u5fae\u5206\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u9006\u6b63\u5f26\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u78ba\u8a8d\u3057\u305f\u5f8c\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e09\u89d2\u95a2\u6570\u5c0e\u95a2\u6570\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u3046\u3059\u308b\u3053\u3068\u3067\u3001\u95a2\u6570\u306e\u9006\u6b63\u5f26\u304c\u3069\u306e\u3088\u3046\u306b\u5c0e\u51fa\u3055\u308c\u308b\u306e\u304b\u3092\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-arcoseno-de-2x\"><\/span>\u4f8b 1: 2x \u306e\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61368fb29b840d3583de92c8e6202006_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u9006\u6b63\u5f26\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u5bfe\u5fdc\u3059\u308b\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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012x \u306e\u5c0e\u95a2\u6570\u306f 2 \u306a\u306e\u3067\u30012x \u306e\u9006\u6b63\u5f26\u5c0e\u95a2\u6570\u306f\u30012 \u3092 1 \u306e\u6839\u304b\u3089 2x \u306e 2 \u4e57\u3092\u5f15\u3044\u305f\u5024\u3067\u5272\u3063\u305f\u3082\u306e\u3068\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-b0282aa3f00df6b3bd1046fff94fa586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2}{\\sqrt{1-(2x)^2}}=\\cfrac{2}{\\sqrt{1-4x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"550\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-arcoseno-de-x-al-cuadrado\"><\/span>\u4f8b 2: x \u306e 2 \u4e57\u306e\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4962743c0667c1443d315dd330bf3fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u9006\u6b63\u5f26\u5fae\u5206\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3092\u5c0e\u304d\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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570 x <sup>2<\/sup>\u306f 2 \u6b21\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u5c0e\u95a2\u6570\u306f 2x \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001x \u306e\u9006\u6b63\u5f26\u306e 2 \u4e57\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-60a677a7b7ca12bf048e6d20aca7b122_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{\\sqrt{1-\\left(x^2\\right)^2}}=\\cfrac{2x}{\\sqrt{1-x^4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"538\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-del-arcoseno-de-ex\"><\/span>\u4f8b 3: e <sup>x<\/sup>\u306e\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0843fbec2d0e53f9f16fd8e704af9763_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(e^x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u4f8b\u306e\u95a2\u6570\u306f\u8907\u5408\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u5c0e\u95a2\u6570\u3092\u89e3\u304f\u305f\u3081\u306b\u9023\u9396\u898f\u5247\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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> e <sup>x<\/sup>\u306e\u5c0e\u95a2\u6570\u306f\u305d\u308c\u81ea\u4f53\u3067\u3042\u308b\u305f\u3081\u3001\u95a2\u6570\u5168\u4f53\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-e836cc1a00000f86d4f8891a12f4997d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(e^x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{e^x}{\\sqrt{1-\\left(e^x\\right)^2}}=\\cfrac{e^x}{\\sqrt{1-e^{2x}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"542\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-del-arcoseno\"><\/span>\u9006\u6b63\u5f26\u5fae\u5206\u3067\u89e3\u6c7a\u3055\u308c\u305f\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u9006\u6b63\u5f26\u95a2\u6570\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-515f2956c43c783ea330e8b3addf908c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{arcsen}(6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" style=\"vertical-align: -5px;\"><\/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-537773e0ce262d3f14bb6af61b6d5d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{arcsen}(x^2-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" style=\"vertical-align: -5px;\"><\/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-d2ed0ca6a00694c6b35b651d9e206bbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f(x)=\\text{arcsen}\\left(3x^4-6x^3+9+e^{x^2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"304\" style=\"vertical-align: -11px;\"><\/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-c3b5ab58c98e35c39ea82368aebabded_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{arcsen}\\left(\\log_5(3x)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"212\" style=\"vertical-align: -5px;\"><\/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-25cafb754c9abd936852c9884fa1d9ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{arcsen}\\left(\\sqrt{4x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"182\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d8fcc06d1afecc77f744ddddafc702f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f'(x)=\\cfrac{6}{\\sqrt{1-(6x)^2}}=\\cfrac{6}{\\sqrt{1-36x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"287\" style=\"vertical-align: -20px;\"><\/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-4491410567de31ccb0be97922264ca90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f'(x)=\\cfrac{2x-4}{\\sqrt{1-(x^2-4x)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"219\" style=\"vertical-align: -20px;\"><\/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-b436dbd761b2261168c506e7e2e0d246_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f'(x)=\\cfrac{12x^3-18x^2+2x\\cdot e^{x^2}}{\\sqrt{1-(3x^4-6x^3+9+e^{x^2})^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"53\" width=\"311\" style=\"vertical-align: -21px;\"><\/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-57f2d6846bdde50321c1387f949d983a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f'(x)=\\cfrac{1}{\\sqrt{1-\\left(\\log_5(3x)\\right)^2}}\\cdot \\cfrac{3}{3x\\cdot \\ln 5}=\\cfrac{1}{x\\cdot \\ln 5\\cdot \\sqrt{1-\\left(\\log_5(3x)\\right)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"519\" style=\"vertical-align: -30px;\"><\/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-0a82c0fd18a8672100ed3b79525a1028_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{E) } f'(x)&amp; =\\cfrac{1}{\\sqrt{1-\\left(\\sqrt{4x}\\right)^2}}\\cdot \\cfrac{4}{2\\sqrt{4x}}\\\\[1.5ex] &amp;=\\cfrac{2}{\\sqrt{1-4x}\\cdot 2\\sqrt{x}}\\\\[1.5ex] &amp;=\\cfrac{1}{\\sqrt{x-4x^2}} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"184\" width=\"253\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-formula-de-la-derivada-del-arcoseno\"><\/span>\u9006\u6b63\u5f26\u5fae\u5206\u516c\u5f0f\u306e\u8a3c\u660e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u3001\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u306e\u6570\u5b66\u7684\u8a3c\u660e\u306b\u9032\u307f\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-139a7a695d83cf004f32f983b10bde10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\text{arcsen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u9006\u6b63\u5f26\u3092\u6b63\u5f26\u306b\u5909\u63db\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-443f95e83265d63f8d88d8782d014011_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u65b9\u7a0b\u5f0f\u306e\u4e21\u8fba\u3092\u5fae\u5206\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-1a653163fb7285dbfafcbaaa4b80031e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1=\\text{cos}(y)\\cdot y'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u79c1\u305f\u3061\u306f\u3042\u306a\u305f\u3092\u30af\u30ea\u30a2\u3057\u307e\u3059\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-ac9839cbaf86cd3bcd2020ae70eb57e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\text{cos}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"86\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u57fa\u672c\u7684\u306a\u4e09\u89d2\u6052\u7b49\u5f0f\u3092\u9069\u7528\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-d5c5551414baf4b4a0f28a4eac057ae2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(y)+\\text{cos}^2(y)=1 \\ \\longrightarrow \\ \\text{cos}(y)=\\sqrt{1-\\text{sen}^2(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"390\" style=\"vertical-align: -6px;\"><\/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-0535c541ff9c3a80c457aae33b359bbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{1-\\text{sen}^2(y)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"144\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u4e0a\u3067 x \u304c y \u306e\u6b63\u5f26\u3068\u540c\u7b49\u3067\u3042\u308b\u3068\u63a8\u5b9a\u3057\u305f\u3088\u3046\u306b\u3001\u7b49\u4fa1\u6027\u306f\u7dad\u6301\u3055\u308c\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-6fafe005791d06de3e64e76eda0ac194_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{1-x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"103\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u3053\u306e\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u9006\u6b63\u5f26\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u5f0f\u304c\u5f97\u3089\u308c\u3001\u5f0f\u304c\u6e80\u305f\u3055\u308c\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u95a2\u6570\u306e\u9006\u6b63\u5f26\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u95a2\u6570\u306e\u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570\u306e\u4f8b\u304c\u3042\u308a\u3001\u30b9\u30c6\u30c3\u30d7\u3054\u3068\u306b\u89e3\u3044\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u9006\u6b63\u5f26\u5fae\u5206\u516c\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3082\u3054\u89a7\u304f\u3060\u3055\u3044\u3002 \u9006\u6b63\u5f26\u306e\u5c0e\u95a2\u6570\u306f\u4f55\u3067\u3059 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e3%83%a9%e3%83%ab%e3%82%b3%e3%82%b7%e3%83%b3%e8%aa%98%e5%b0%8e%e4%bd%93\/\"> <span class=\"screen-reader-text\">\u9006\u6b63\u5f26\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-382","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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