{"id":35,"date":"2023-09-17T11:01:09","date_gmt":"2023-09-17T11:01:09","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%b9%97%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/"},"modified":"2023-09-17T11:01:09","modified_gmt":"2023-09-17T11:01:09","slug":"%e4%b9%97%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%b9%97%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u7a4d\u306e\u5c0e\u95a2\u6570 (\u307e\u305f\u306f\u4e57\u7b97)"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u30012\u3064\u306e\u95a2\u6570\u306e\u7a4d\uff08\u516c\u5f0f\uff09\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u95a2\u6570\u306e\u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u78ba\u8a8d\u3057\u305f\u308a\u3001\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\u3092\u4f7f\u3063\u3066\u7df4\u7fd2\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-un-producto\"><\/span>\u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>2 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570\u306e\u7a4d\u306e\u5c0e\u95a2\u6570\u306f\u3001\u6700\u521d\u306e\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3068 2 \u756a\u76ee\u306e\u672a\u5fae\u5206\u95a2\u6570\u306e\u7a4d\u3068\u3001\u6700\u521d\u306e\u672a\u5fae\u5206\u95a2\u6570\u3068 2 \u756a\u76ee\u306e\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u7a4d\u3068\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/strong><\/p>\n<p>\u8a00\u3044\u63db\u3048\u308b\u3068\u3001 <em>f(x)<\/em>\u3068<em>g(x)<\/em>\u304c 2 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570\u3067\u3042\u308b\u5834\u5408\u30012 \u3064\u306e\u95a2\u6570\u9593\u306e\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\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-dun-produit.webp\" alt=\"\u88fd\u54c1\u306b\u7531\u6765\u3059\u308b\u3082\u306e\" class=\"wp-image-2103\" width=\"318\" height=\"298\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7a4d\u306e\u5fae\u5206\u898f\u5247\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u5358\u7d14\u306a\u4e57\u7b97\u304b\u3089 2 \u3064\u306e\u7570\u306a\u308b\u7a4d\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-un-producto\"><\/span>\u88fd\u54c1\u306e\u6d3e\u751f\u88fd\u54c1\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7a4d\uff08\u307e\u305f\u306f\u4e57\u7b97\uff09\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\u5c0e\u95a2\u6570\u306e\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u89e3\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u30012 \u3064\u306e\u95a2\u6570\u306e\u7a4d\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\">\u4f8b1<\/h3>\n<p>\u3053\u306e\u4f8b\u3067\u306f\u3001\u6b21\u306e\u4e57\u7b97\u306b\u3088\u3063\u3066 2 \u3064\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u89e3\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-ac06a60a36e2b2b8b42a4e84aae6d78f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5x^2\\cdot (x^3+4x-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u524d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\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-775fe6e5ac196e5a44c840866e35062d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}z(x)=f(x)\\cdot g(x) \\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] z'(x)=f'(x)\\cdot g(x)+f(x)\\cdot g'(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"252\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u500b\u5225\u306b\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-39\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f6ba571ede98526688967d6db6b708d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ 5x^2=10x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"104\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-81f76a053e0ede02d46b917b5733f0cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ (x^3+4x-6)=3x^2+4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u304c\u308f\u304b\u308c\u3070\u30012 \u3064\u306e\u95a2\u6570\u306e\u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u9069\u7528\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6700\u521d\u306e\u56e0\u5b50\u306e\u5c0e\u95a2\u6570\u3092\u5fae\u5206\u305b\u305a\u306b 2 \u756a\u76ee\u306e\u56e0\u5b50\u3067\u4e57\u7b97\u3057\u3001\u6b21\u306b 2 \u756a\u76ee\u306e\u56e0\u5b50\u306e\u5fae\u5206\u3067\u5fae\u5206\u305b\u305a\u306b\u6700\u521d\u306e\u56e0\u5b50\u306e\u7a4d\u3092\u52a0\u7b97\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-00f424cf1f72c1d3822c14d49873253e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=5x^2\\cdot (x^3+4x-6)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] f'(x)=10x\\cdot (x^3+4x-6)+5x^2\\cdot (3x^2+4)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"87\" width=\"338\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u5f97\u3089\u308c\u305f\u7d50\u679c\u3092\u5358\u7d14\u5316\u3059\u308b\u305f\u3081\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\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-48b8d455b68b87932ca3a437f5ffe3a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp; =10x\\cdot (x^3+4x-6)+5x^2\\cdot (3x^2+4)\\\\[1.5ex] &amp; = 10x^4+40x^2-60x +15x^4+20x^2 \\\\[1.5ex] &amp; = 25x^4+60x^2-60x\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"338\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b 2<\/h3>\n<p>\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306b\u3088\u3063\u3066\u5b9a\u6570\u306e\u7a4d\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-0eac27878f19facde1912b0e4c80f7c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=7\\cdot (x^2+3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7a4d\u306e\u5c0e\u95a2\u6570\u30eb\u30fc\u30eb\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-775fe6e5ac196e5a44c840866e35062d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}z(x)=f(x)\\cdot g(x) \\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] z'(x)=f'(x)\\cdot g(x)+f(x)\\cdot g'(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"252\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u88fd\u54c1\u306e\u4e00\u90e8\u3067\u3042\u308b\u5404\u95a2\u6570\u3092\u500b\u5225\u306b\u5c0e\u51fa\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-42\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e80b2c2aeed333ee755f36592771ea8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ 7=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ce4329169c51d065b3eaa2539afa18d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ (x^2+3x)=2x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"171\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u6b21\u306b\u3001\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306b\u30eb\u30fc\u30eb\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-6c2d81edaa002aeb66ca6eec22bec001_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=7\\cdot (x^2+3x)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] f'(x)=0\\cdot (x^2+3x)+7\\cdot (2x+3)=14x+21\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"87\" width=\"353\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5b9a\u6570\u306e\u5c0e\u95a2\u6570\u306f\u5e38\u306b\u30bc\u30ed\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u306e\u305f\u3081<strong>\u3001\u5b9a\u6570\u306b\u95a2\u6570\u3092\u4e57\u7b97\u3057\u305f\u5c0e\u95a2\u6570\u306f\u3001\u5b9a\u6570\u3068\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u7a4d\u306b\u7b49\u3057\u3044\u3068\u63a8\u6e2c\u3067\u304d\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-df912584fe52a7417fef5fa910376453_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\begin{array}{c}z(x)=k\\cdot f(x) \\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] z'(x)=k\\cdot f'(x)\\end{array} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b 3<\/h3>\n<p>\u6307\u6570\u95a2\u6570\u3068\u81ea\u7136\u5bfe\u6570\u306e\u7a4d\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\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-e835022b92bf8922fece3bfff5b0fe79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4^{3x}\\cdot \\ln(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u95a2\u6570\u306e\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\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-775fe6e5ac196e5a44c840866e35062d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}z(x)=f(x)\\cdot g(x) \\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] z'(x)=f'(x)\\cdot g(x)+f(x)\\cdot g'(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"252\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u7a4d\u3092\u5f62\u6210\u3059\u308b\u5404\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u500b\u5225\u306b\u4f5c\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-45\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bd255b76b5292f44a9af4bda726a928_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ 4^{3x}=4^{3x}\\cdot \\ln (4) \\cdot 3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"169\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5e20aacbfc682c8afa58940cf8306f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{d}{dx}\\ \\ln(x^2)=\\cfrac{2x}{x^2}=\\cfrac{2}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"156\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u6d3e\u751f\u7a4d\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-9e1cb417a69252fe05883f7963bcb8db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=4^{3x}\\cdot \\ln(x^2)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] f'(x)=4^{3x}\\cdot \\ln (4) \\cdot 3\\cdot \\ln(x^2) +4^{3x}\\cdot \\cfrac{2}{x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"290\" 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-un-producto\"><\/span>\u88fd\u54c1\u306e\u6d3e\u751f\u88fd\u54c1\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\u95a2\u6570\u7a4d\u3092\u6d3e\u751f\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-67f07c0bd975c646a55e36e71cf4a4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=5\\ln(3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"143\" 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-d8a0c3d9bc420193e3c1990868382d3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=(4x^2+1)(6x^3-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"225\" 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-61bc2db7b665db51e7467b0084d16de8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f(x)=\\text{cos}(4x)\\cdot e^{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"175\" 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-c6e9fe99ab311488946ed15068a12ea6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=(3x^3-4x^2+8x)\\cdot \\sqrt{6x^2+3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"310\" 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-88a563e417f4c63f256a599945356dd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=5^{4x}\\cdot \\log_9(x^3-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" 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-aa9abf01257a07e3610d58665ff5a149_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f(x)=\\left(10x^6-6x^5\\right)^4\\cdot \\text{arcsen}(x^2+9x)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"323\" 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-a2b0cfd5d2fab9c30534aaf5a8873bba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=5\\cdot \\cfrac{3}{3x} =\\cfrac{5}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"168\" 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-f46e303cda3be6c3781f7ee4c46c1680_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{B) }f'(x)&amp;=8x\\cdot (6x^3-7)+(4x^2+1)\\cdot 18x^2\\\\[1.2ex]&amp;=48x^4-56x+72x^4+18x^2\\\\[1.2ex]&amp;=120x^4+18x^2-56x \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"331\" 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-1ee37a1f2ba1f12185bf7ea63668b7cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f'(x) =-4\\text{sen}(4x)\\cdot e^{x^2}+\\text{cos}(4x)\\cdot e^{x^2}\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"351\" 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-384d51cd4aff14037124c89ca3f77ee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f'(x)=(9x^2-8x+8)\\cdot \\sqrt{6x^2+3x}+(3x^3-4x^2+8x)\\cdot\\cfrac{12x+3}{2\\sqrt{6x^2+3x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"553\" style=\"vertical-align: -16px;\"><\/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-88020b03c9d895b81bf29a7cdeda7528_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f'(x)=5^{4x}\\cdot \\ln(5) \\cdot 4 \\cdot \\log_9(x^3-x)+ 5^{4x}\\cdot\\cfrac{3x^2-1}{(x^3-x)\\ln(9)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"455\" style=\"vertical-align: -17px;\"><\/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-5dbaa6f333ff27c717b6478d26154025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{F) }f'(x)=&amp; 4\\left(10x^6-6x^5\\right)^3\\cdot (60x^5-30x^4)\\cdot \\text{arcsen}(x^2+9x)\\ +\\\\[1.2ex] &amp;+\\left(10x^6-6x^5\\right)^4\\cdot \\cfrac{2x+9}{\\sqrt{1-\\left(x^2+9x\\right)^2}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"473\" 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=\"derivada-de-un-producto-de-tres-funciones\"><\/span> 3\u3064\u306e\u6a5f\u80fd\u3092\u5099\u3048\u305f\u88fd\u54c1\u304b\u3089\u6d3e\u751f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u30013 \u3064\u306e\u95a2\u6570\u306e\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u6b8b\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u30012 \u3064\u306e\u95a2\u6570\u306e\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u3068\u975e\u5e38\u306b\u4f3c\u3066\u304a\u308a\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u5f79\u7acb\u3064\u305f\u3081\u3067\u3059\u3002<\/p>\n<p> <strong>3 \u3064\u306e\u95a2\u6570\u306e\u7a4d\u306e\u5c0e\u95a2\u6570\u306f\u3001<\/strong>\u6700\u521d\u306e\u95a2\u6570\u3068\u4ed6\u306e 2 \u3064\u306e\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u7a4d\u30012 \u756a\u76ee\u306e\u95a2\u6570\u3068\u4ed6\u306e 2 \u3064\u306e\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u7a4d\u3001\u304a\u3088\u3073\u6b21\u306e\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u7a4d\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 3 \u756a\u76ee\u306e\u95a2\u6570.\u4ed6\u306e 2 \u3064\u306e\u95a2\u6570\u306b\u3088\u308b\u95a2\u6570\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-ab98569b058580b87eb57088447f4f49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=1mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      \\begin{array}{c}z(x)=f(x)\\cdot g(x)\\cdot h(x) \\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\\\[1.5ex] z'(x)=f'(x)\\cdot g(x)\\cdot h(x)+f(x)\\cdot g'(x)\\cdot h(x)+f(x)\\cdot g(x)\\cdot h'(x)\\end{array} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 3 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570\u306e\u4e57\u7b97\u3092\u5c0e\u51fa\u3057\u305f\u3044\u5834\u5408:<\/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-f6710d72c4b3c57f51a1855a274e4faf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x\\cdot e^{2x} \\cdot \\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5c0e\u95a2\u6570\u3092\u89e3\u304f\u306b\u306f\u30013 \u3064\u306e\u95a2\u6570\u306e\u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u898f\u5247\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\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-5c925055bae8204915ed1a7ce6fea5cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3\\cdot e^{2x} \\cdot \\text{sen}(x)+3x\\cdot 2e^{2x} \\cdot \\text{sen}(x)+3x\\cdot e^{2x} \\cdot \\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"454\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-formula-de-la-derivada-de-un-producto\"><\/span>\u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002\u6697\u8a18\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\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 \ud83d\ude42<\/p>\n<p>\u5c0e\u95a2\u6570\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u304b\u3089:<\/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-dc1699622d128f888c1f20599aeccf60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"219\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570<em>z<\/em>\u3092 2 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570\u306e\u7a4d\u3068\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-7221f2fe5a3cdb96186c0c3bac490818_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f(x)\\cdot g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5b9a\u7fa9\u306b\u3088\u308c\u3070\u3001 <em>z<\/em>\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-2883cdf5f77c221fda1e72fd5f69ad33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{\\bigl[f(x+h)\\cdot g(x+h)\\bigr]-\\bigl[f(x)\\cdot g(x)\\bigr]}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"371\" style=\"vertical-align: -13px;\"><\/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-0245613adf61bb881d95fdd9f88cf16f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f(x+h)\\cdot g(x+h)-f(x)\\cdot g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"342\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u3054\u5b58\u77e5\u306e\u3068\u304a\u308a\u3001\u52a0\u7b97\u3068\u6e1b\u7b97\u306b\u3088\u3063\u3066\u9805\u3092\u8ffd\u52a0\u3057\u3066\u3082\u3001\u4e21\u65b9\u304c\u540c\u3058\u9805\u3067\u3042\u308b\u9650\u308a\u3001\u7d50\u679c\u306b\u306f\u5f71\u97ff\u3057\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u306b\u9032\u3080\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-2dc1543688ce758352ae824c04f44766_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f(x+h)\\cdot g(x+h)\\color{orange}\\bm{-f(x+h)\\cdot g(x)+f(x+h)\\cdot g(x)}\\color{black}-f(x)\\cdot g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"696\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u3001\u5883\u754c\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3057\u3066\u3001\u524d\u306e\u5883\u754c\u3092 2 \u3064\u306e\u7570\u306a\u308b\u5883\u754c\u306b\u5206\u96e2\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-79db4573036eb08e40df29d50582ab22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f(x+h)\\cdot g(x+h)-f(x+h)\\cdot g(x)}{h}+\\lim_{h \\to 0}\\frac{f(x+h)\\cdot g(x)-f(x)\\cdot g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"582\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u5206\u6570\u306e\u5206\u5b50\u306e\u5171\u901a\u56e0\u6570\u3092\u62bd\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-6e21b5ddadb3c3767bd0292a4b25a471_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f(x+h)\\bigl(g(x+h)-g(x)\\bigr)}{h}+\\lim_{h \\to 0}\\frac{g(x)\\bigl(f(x+h)-f(x)\\bigr)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"526\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3067\u3001\u6b21\u306e\u5236\u9650\u306e\u7d50\u679c\u304c\u308f\u304b\u3063\u3066\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-682c9bad316f22a6e608611a63af1dbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{h \\to 0}f(x+h)=f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"155\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5236\u9650\u3092\u5358\u7d14\u5316\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-9df631d571432bd2bbe55b94bb6cb608_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}f(x+h)\\lim_{h \\to 0}\\frac{g(x+h)-g(x)}{h}+\\lim_{h \\to 0}g(x)\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"563\" style=\"vertical-align: -13px;\"><\/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-77c3c708c8dcd5ee55fb3dfc24900eef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=f(x)\\lim_{h \\to 0}\\frac{g(x+h)-g(x)}{h}+g(x)\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"468\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u6b8b\u308a\u306e 2 \u3064\u306e\u5236\u9650\u306b\u6ce8\u76ee\u3059\u308b\u3068\u3001\u305d\u308c\u305e\u308c\u304c\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u5b9a\u7fa9\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u7b49\u306f\u6b21\u306e\u3088\u3046\u306b\u5358\u7d14\u5316\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-6d25565e3730d9f761ed2f01b1522946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=f(x)\\cdot g'(x)+g(x)\\cdot f'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"252\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305f\u306f\u540c\u7b49\u306e\u3082\u306e:<\/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-b1e429dfae9a3659f78a3851759c6320_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white, shadow={2mm}{-2mm}{0mm}{taronjaquadreejemplo!20!white,} ]}]{equation*}      z'(x)=f'(x)\\cdot g(x)+f(x)\\cdot g'(x) \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u30012\u3064\u306e\u95a2\u6570\u306e\u7a4d\uff08\u516c\u5f0f\uff09\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u95a2\u6570\u306e\u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u78ba\u8a8d\u3057\u305f\u308a\u3001\u4e57\u7b97\u306e\u5c0e\u95a2\u6570\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\u3092\u4f7f\u3063\u3066\u7df4\u7fd2\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u7a4d\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f 2 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e4%b9%97%e7%ae%97%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u7a4d\u306e\u5c0e\u95a2\u6570 (\u307e\u305f\u306f\u4e57\u7b97)<\/span> \u3082\u3063\u3068\u8aad\u3080 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