{"id":40,"date":"2023-09-17T10:58:44","date_gmt":"2023-09-17T10:58:44","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%82%bb%e3%82%ab%e3%83%b3%e3%83%88%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/"},"modified":"2023-09-17T10:58:44","modified_gmt":"2023-09-17T10:58:44","slug":"%e3%82%bb%e3%82%ab%e3%83%b3%e3%83%88%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%82%bb%e3%82%ab%e3%83%b3%e3%83%88%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u95a2\u6570\u306e\u6b63\u5272\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6b63\u5272\u7dda\u306e\u5c0e\u95a2\u6570\u306b\u3064\u3044\u3066\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e09\u89d2\u95a2\u6570\u5fae\u5206\u306e\u516c\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-de-la-secante\"><\/span>\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>x \u306e\u6b63\u5272\u306e\u5c0e\u95a2\u6570\u306f\u3001x \u306e\u6b63\u5272\u3068 x \u306e\u6b63\u63a5\u306e\u7a4d\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-96448e16137a4b0d5cda8192ec339ad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(x)\\cdot \\text{tan}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"434\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u3068\u3001x \u306e\u6b63\u5272\u306e\u5c0e\u95a2\u6570\u306f\u3001x \u306e\u30b5\u30a4\u30f3\u3092 x \u306e\u30b3\u30b5\u30a4\u30f3\u306e 2 \u4e57\u3067\u5272\u3063\u305f\u5546\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\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-7055796dc0e57b6284a41ca70ecca764_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\text{sec}(x)\\cdot \\text{tan}(x)=\\cfrac{1}{\\text{cos}(x)}\\cdot \\cfrac{\\text{sen}(x)}{\\text{cos}(x)}=\\cfrac{\\text{sen}(x)}{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"390\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u9023\u9396\u5247\u3092\u9069\u7528\u3059\u308b\u3068\u3001<strong>\u95a2\u6570\u306e\u6b63\u5272\u306e\u5c0e\u95a2\u6570<\/strong>\u306f\u3001\u95a2\u6570\u306e\u6b63\u5272\u3068\u95a2\u6570\u306e\u6b63\u63a5\u3068\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u7a4d\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-0ac73f3fef391bac629871e7035160d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(u)\\cdot \\text{tan}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"462\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001\u30bb\u30ab\u30f3\u30c8\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-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derive-de-la-secante.webp\" alt=\"\u6b63\u5272\u304b\u3089\u5c0e\u51fa\u3055\u308c\u308b\" class=\"wp-image-2351\" width=\"475\" height=\"314\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-secante\"><\/span>\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e09\u89d2\u95a2\u6570\u5c0e\u95a2\u6570\u306e\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u89e3\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-la-secante-de-2x\"><\/span>\u4f8b 1: 2x \u306e\u6b63\u5272\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u3053\u306e\u4f8b\u3067\u306f\u30012x \u306e\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u304c\u3069\u308c\u3060\u3051\u306e\u4fa1\u5024\u304c\u3042\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-c8a3b19bc9ee15896b5416920d623745_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2x \u95a2\u6570\u306e\u6b63\u5272\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u5bfe\u5fdc\u3059\u308b\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u6b63\u5272\u5f15\u6570\u306b\u306f x \u4ee5\u5916\u306e\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\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-0ac73f3fef391bac629871e7035160d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(u)\\cdot \\text{tan}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"462\" style=\"vertical-align: -5px;\"><\/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\u6b21\u306e\u5f0f\u3067 u \u3092 2x \u306b\u3001u&#8217; \u3092 2 \u306b\u7f6e\u304d\u63db\u3048\u308b\u3060\u3051\u3067\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-2decb8aff43ac88c25cae4f6c1443b70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(2x)\\cdot \\text{tan}(2x)\\cdot 2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"482\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-la-secante-de-x-al-cuadrado\"><\/span>\u4f8b 2: x \u306e 2 \u4e57\u306e\u6b63\u5272\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u3053\u306e\u6f14\u7fd2\u3067\u306f\u3001x \u306e 2 \u4e57\u306e\u6b63\u5272\u306e\u5c0e\u95a2\u6570\u304c\u4f55\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-e1359b6d31f1ec6172c29ec2066b3fb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u306e\u30bb\u30ab\u30f3\u30c8\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u4e0a\u8a18\u306e 2 \u3064\u306e\u516c\u5f0f\u306e\u3044\u305a\u308c\u304b\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u304c\u3001\u3053\u306e\u5834\u5408\u306f\u3001\u30bb\u30ab\u30f3\u30c8\u3068\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u4e57\u7b97\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u95a2\u6570\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-0ac73f3fef391bac629871e7035160d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(u)\\cdot \\text{tan}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"462\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> x \u306e 2 \u4e57\u306e\u5c0e\u95a2\u6570\u306f 2x \u3068\u306a\u308b\u305f\u3081\u3001x \u306e\u4e8c\u4e57\u306e\u6b63\u5272\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-2e0bdd83c01111c51620bd6a558a5930_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(x^2)\\cdot \\text{tan}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"490\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-la-secante-al-cubo-de-un-polinomio\"><\/span>\u4f8b 3: \u591a\u9805\u5f0f\u306e\u6b63\u5272 3 \u4e57\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-6ee68247e5fd1854b875d655b1615701_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}^3(x^5+4x^2-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u306e\u6b63\u5272\u306e\u5fae\u5206\u306e\u898f\u5247\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\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-0ac73f3fef391bac629871e7035160d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{sec}(u)\\cdot \\text{tan}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"462\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u304b\u3057\u3001\u3053\u306e\u5834\u5408\u3001\u5272\u7dda\u306f 3 \u4e57\u3055\u308c\u3001\u3055\u3089\u306b\u305d\u306e\u5f15\u6570\u306b\u306f\u591a\u9805\u5f0f\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u8907\u5408\u95a2\u6570\u3092\u5c0e\u51fa\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u5168\u4f53\u3092\u533a\u5225\u3059\u308b\u306b\u306f\u3001\u9023\u9396\u30eb\u30fc\u30eb\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-7ab88cc23ab3fb559e2386cd52637082_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp; =3\\text{sec}^2(x^5+4x^2-3)\\text{sec}(x^5+4x^2-3)\\text{tan}(x^5+4x^2-3)(5x^4+8x)\\\\[1.5ex]&amp;=3\\text{sec}^3(x^5+4x^2-3)\\text{tan}(x^5+4x^2-3)(5x^4+8x)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"562\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-de-una-secante\"><\/span>\u30bb\u30ab\u30f3\u30c8\u306e\u5fae\u5206\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u5272\u7dda\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-a63efa4ccc6266dc6db9552b5663ccb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{sec}(x^6-6x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"186\" 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-d4cd03385df118ead733c64d1524bb36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{sec}^4(5x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"154\" 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-6b8e0ec036c5a0ccaca77d1116a2606a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f(x)=\\text{sec}\\bigl(\\ln(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"159\" style=\"vertical-align: -7px;\"><\/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-787d864c315ebf629c2505df13cfdf70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{sec}\\left(e^{x^2+3x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"178\" 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-1e9e9e0065335901bb018afd8458bf7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{sec}\\left(\\sqrt{5x+1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"187\" 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\u898b\u308b<\/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-c162c3a202d8d10ed26b6f5ad4afe7f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{sec}(x^6-6x^3)\\cdot \\text{tan}(x^6-6x^3)\\cdot (6x^5-18x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"415\" 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-72985d8bce95d808b9070bc7b834b271_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{B) }f(x)&amp; =4\\text{sec}^3(5x^4)\\cdot \\text{sec}(5x^4)\\cdot \\text{tan}(5x^4)\\cdot 20x^3\\\\[1.5ex] &amp;=4\\text{sec}^4(5x^4)\\cdot \\text{tan}(5x^4)\\cdot 20x^3\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"366\" style=\"vertical-align: 0px;\"><\/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-1a89fb7e8b228b31af9979a4fc0b08ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f(x)=\\text{sec}\\bigl(\\ln(x)\\bigr)\\cdot \\text{tan}\\bigl(\\ln(x)\\bigr)\\cdot \\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"281\" style=\"vertical-align: -12px;\"><\/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-7a488bce8bdd2cb66ebb028ca017f172_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{sec}\\left(e^{x^2+3x}\\right)\\cdot \\text{tan}\\left(e^{x^2+3x}\\right)\\cdot e^{x^2+3x}\\cdot (2x+3)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"429\" 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-b1bb860fafc464f3c8a30bf3e9b29a94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{sec}\\left(\\sqrt{5x+1}\\right)\\cdot \\text{tan}\\left(\\sqrt{5x+1}\\right)\\cdot \\cfrac{5}{2\\sqrt{5x+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"400\" style=\"vertical-align: -16px;\"><\/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-de-la-secante\"><\/span>\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u3001\u30bb\u30ab\u30f3\u30c8\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002\u8a3c\u660e\u3092\u6697\u8a18\u3059\u308b\u5fc5\u8981\u306f\u306a\u3044\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\u304c\u3001\u516c\u5f0f\u304c\u3069\u3053\u304b\u3089\u6765\u305f\u306e\u304b\u3092\u7406\u89e3\u3057\u3066\u304a\u304f\u3053\u3068\u306f\u5e38\u306b\u826f\u3044\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001\u30bb\u30ab\u30f3\u30c8\u306e\u5b9a\u7fa9\u306f\u30b3\u30b5\u30a4\u30f3\u306e\u9006\u4e57\u3067\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-8e3493c8e50b7c4b713b7c0f6ea9eca9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sec}(x)=\\cfrac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"178\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5546\u30eb\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u6b63\u5272\u3092\u5c0e\u51fa\u3057\u3066\u307f\u308b\u3053\u3068\u304c\u3067\u304d\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-37c02387c22125a313ff7fe65c1a7b37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"121\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u6700\u521d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u524d\u306e\u5f0f\u306f\u6b63\u5272\u306e\u5c0e\u95a2\u6570\u306e\u5f0f\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5206\u6570\u3092 2 \u3064\u306e\u7570\u306a\u308b\u5206\u6570\u306b\u5206\u5272\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-eb2f40cc564d430340271ea1b7659084_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\\cdot \\cfrac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"176\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u30b5\u30a4\u30f3\u3092\u30b3\u30b5\u30a4\u30f3\u3067\u5272\u308b\u3068\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306b\u76f8\u5f53\u3059\u308b\u305f\u3081\u3001\u5546\u3092\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u3067\u7f6e\u304d\u63db\u3048\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-3ce86a0b57ad6e2322c169eb90d9e8bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\text{tan}(x)\\cdot \\cfrac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u30bb\u30ab\u30f3\u30c8\u95a2\u6570\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u306b\u3088\u308c\u3070\u3001\u30b3\u30b5\u30a4\u30f3\u306f\u305d\u306e\u9006\u4e57\u6cd5\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b3\u30b5\u30a4\u30f3\u3067\u5272\u3063\u305f\u3082\u306e\u3092\u6b63\u5272\u3067\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001\u305d\u306e\u5c0e\u95a2\u6570\u306e\u5f0f\u304c\u5f97\u3089\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-d0ea3bb9b42cd0a3474363910fee95bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\text{tan}(x)\\cdot \\text{sec}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u95a2\u6570\u306e\u6b63\u5272\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6b63\u5272\u7dda\u306e\u5c0e\u95a2\u6570\u306b\u3064\u3044\u3066\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e09\u89d2\u95a2\u6570\u5fae\u5206\u306e\u516c\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u793a\u3057\u307e\u3059\u3002 \u30bb\u30ab\u30f3\u30c8\u306e\u5c0e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e3%82%bb%e3%82%ab%e3%83%b3%e3%83%88%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u30bb\u30ab\u30f3\u30c8\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-40","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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