{"id":381,"date":"2023-07-03T18:53:21","date_gmt":"2023-07-03T18:53:21","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%af%be%e6%95%b0%e9%96%a2%e6%95%b0%e3%83%8d%e3%83%9a%e3%83%aa%e3%82%a2%e3%83%b3%e8%87%aa%e7%84%b6%e5%af%be%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/"},"modified":"2023-07-03T18:53:21","modified_gmt":"2023-07-03T18:53:21","slug":"%e5%af%be%e6%95%b0%e9%96%a2%e6%95%b0%e3%83%8d%e3%83%9a%e3%83%aa%e3%82%a2%e3%83%b3%e8%87%aa%e7%84%b6%e5%af%be%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%af%be%e6%95%b0%e9%96%a2%e6%95%b0%e3%83%8d%e3%83%9a%e3%83%aa%e3%82%a2%e3%83%b3%e8%87%aa%e7%84%b6%e5%af%be%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u4efb\u610f\u306e\u5e95 (\u516c\u5f0f) \u3067\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u793a\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5bfe\u6570\u95a2\u6570\u306e\u5fae\u5206\u306b\u95a2\u3059\u308b\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><strong>\u5bfe\u6570\u95a2\u6570\u3092\u9664\u7b97\u3059\u308b\u516c\u5f0f\u306f\u3001\u5bfe\u6570\u304c\u81ea\u7136\u5bfe\u6570 (\u5e95\u304c e) \u3067\u3042\u308b\u304b\u3001\u5225\u306e\u5e95\u3067\u3042\u308b\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059<\/strong>\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b 2 \u3064\u306e\u516c\u5f0f\u3092\u305d\u308c\u305e\u308c\u306e\u5834\u5408\u306e\u4f8b\u3068\u3068\u3082\u306b\u500b\u5225\u306b\u78ba\u8a8d\u3057\u3001\u6b21\u306b 2 \u3064\u306e\u30eb\u30fc\u30eb\u3092\u8981\u7d04\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-un-logaritmo-natural-o-neperiano\"><\/span>\u81ea\u7136\u307e\u305f\u306f\u81ea\u7136\u5bfe\u6570\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u81ea\u7136\u5bfe\u6570\u306e\u5c0e\u95a2\u6570 (\u307e\u305f\u306f\u81ea\u7136\u5bfe\u6570) \u306f\u3001\u5bfe\u6570\u306e\u5f15\u6570\u306e\u5c0e\u95a2\u6570\u3092\u5f15\u6570\u306e\u95a2\u6570\u3067\u5272\u3063\u305f\u5546\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-491d95a8a33d226da4fc5d62a8e70f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u3001\u5bfe\u6570\u5185\u306e\u95a2\u6570\u304c\u6052\u7b49\u95a2\u6570\u306e\u5834\u5408\u3001\u5c0e\u95a2\u6570\u306e\u5206\u5b50\u306b\u306f 1 \u304c\u6b8b\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-1519db0b90e430fab54b04113c435118_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"331\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> 3x \u306e\u81ea\u7136\u5bfe\u6570\u306e\u5fae\u5206\u3092\u89e3\u304f\u6b21\u306e\u4f8b\u3092\u898b\u3066\u304f\u3060\u3055\u3044\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-420e2f2cb107eb22019157bcb76c5645_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(3x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{3}{3x}=\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"384\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u81ea\u7136\u5bfe\u6570\u306f\u6570\u5024 e (\u30aa\u30a4\u30e9\u30fc\u6570) \u3092\u5e95\u3068\u3059\u308b\u5bfe\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\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-d5698ad2315473c75950453c15326f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ln(x)=\\log_e(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-un-logaritmo-en-base-a\"><\/span>\u306b\u57fa\u3065\u304f\u5bfe\u6570\u306e\u5c0e\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4efb\u610f\u306e\u5e95\u306b\u5bfe\u3059\u308b\u5bfe\u6570\u306e\u5c0e\u95a2\u6570\u306f\u3001\u5143\u306e\u5bfe\u6570\u306e\u5e95\u306e\u81ea\u7136\u5bfe\u6570\u3092 x \u500d\u3057\u305f\u7a4d\u3067 1 \u3092\u5272\u3063\u305f\u5024\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-8b37542882d2bccf84707a3341af5813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x\\cdot\\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u9023\u9396\u30eb\u30fc\u30eb\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u5bfe\u6570\u5c0e\u95a2\u6570\u30eb\u30fc\u30eb\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-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001x \u306e 2 \u3092\u5e95\u3068\u3059\u308b\u5bfe\u6570\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-e934db01ce50b0ef6f597d5952637cfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_2(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{x^2\\cdot\\ln(2)}=\\cfrac{2}{x\\ln(2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"488\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-una-funcion-logaritmica\"><\/span>\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bfe\u6570\u5c0e\u95a2\u6570\u306e\u5b9a\u7fa9\u3068\u305d\u306e 2 \u3064\u306e\u53ef\u80fd\u306a\u5909\u5f62\u3092\u8003\u616e\u3057\u3066\u3001\u899a\u3048\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u306b 2 \u3064\u306e\u516c\u5f0f\u3092\u8981\u7d04\u3057\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\/fonction-logarithmique-derivee.webp\" alt=\"\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\" class=\"wp-image-1842\" width=\"395\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-funciones-logaritmicas\"><\/span>\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u5bfe\u6570\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-8118283c3444e6c13b9aefdf0d8a11aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log(3x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"121\" style=\"vertical-align: -5px;\"><\/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-left\">\u3053\u306e\u5834\u5408\u300110 \u9032\u6570\u306e\u5bfe\u6570\u306e\u5fae\u5206\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u6b21\u306e\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u300110 \u3092\u5e95\u3068\u3059\u308b\u5bfe\u6570\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-f340fe2c5f62e4f0c4499aca10845cf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log(3x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{6x}{3x^2\\cdot \\ln(10)}=\\cfrac{2}{x \\ln(10)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"516\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5bfe\u6570\u306b\u5e95\u304c\u306a\u3044\u5834\u5408\u306f\u3001\u5e95\u304c 10 \u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e\u81ea\u7136 (\u307e\u305f\u306f\u81ea\u7136) \u5bfe\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-a44fc37965c07092cdfa5cb2679a8b8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln\\left(x^3+4x^2\\right)^5\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"165\" 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-left\">\u3053\u306e\u554f\u984c\u306e\u95a2\u6570\u306f\u81ea\u7136\u5bfe\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u6b21\u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066\u5bfe\u6570\u95a2\u6570\u3092\u5c0e\u51fa\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-491d95a8a33d226da4fc5d62a8e70f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u81ea\u7136\u5bfe\u6570\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-fc06150c0093afdd84076e69171b7d38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=\\cfrac{5\\left(x^3+4x^2\\right)^4\\cdot (3x^2+8x)}{\\left(x^3+4x^2\\right)^5}\\\\[2ex] &amp;=\\cfrac{5\\cdot (3x^2+8x)}{x^3+4x^2}\\\\[2ex] &amp;=\\cfrac{15x^2+40x}{x^3+4x^2}\\\\[2ex] &amp;=\\cfrac{15x+40}{x^2+4x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"245\" width=\"261\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e\u5bfe\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-5682f4fd6180c07879cfe9fb6a4b2583_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_7(x^5+7x^2-3x+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"239\" style=\"vertical-align: -5px;\"><\/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-left\">\u3053\u306e\u6f14\u7fd2\u3067\u306f\u30017 \u3092\u5e95\u3068\u3059\u308b\u5bfe\u6570\u3092\u5c0e\u51fa\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\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-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u5bfe\u6570\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-182fbf09950c4930013d2f863888bdd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{5x^4+14x-3}{(x^5+7x^2-3x+1)\\cdot \\ln(7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"267\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u5206\u6570\u3067\u6c42\u3081\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-218d7543ba82562bbf91b5f4e0ca3f1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\log_4\\left(\\frac{5x}{8x^2-1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"176\" style=\"vertical-align: -17px;\"><\/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-left\">\u5bfe\u6570\u5fae\u5206\u3092\u89e3\u304f\u306b\u306f\u3001\u307e\u305a\u5bfe\u6570\u306e\u6027\u8cea\u3092\u9069\u7528\u3057\u3066\u95a2\u6570\u3092\u5358\u7d14\u5316\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-2d0cedfe8d0bd4de138099938b10e39f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_4(5x)-\\log_4(8x^2-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u5bfe\u6570\u5c0e\u95a2\u6570\u306e\u5f0f\u3092 2 \u56de\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u3069\u3061\u3089\u306e\u5c0e\u95a2\u6570\u3082\u8a08\u7b97\u304c\u7c21\u5358\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-2fac5d7501d02d27d74a95272a64e756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\ln(a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"397\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8981\u7d04\u3059\u308b\u3068\u3001\u95a2\u6570\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-85874bff9f3259727a78b50aece1f1e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=\\cfrac{5}{5x\\cdot \\ln(4)}-\\cfrac{16x}{(8x^2-1)\\cdot \\ln(4)}\\\\[2ex]&amp;=\\cfrac{1}{x\\ln(4)}-\\cfrac{16x}{(8x^2-1)\\ln(4)}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"111\" width=\"279\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 5<\/h3>\n<p>\u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092 1 \u6839\u3067\u8a08\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-9518b9623edc80e9f5de230edb5e573c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln\\left(\\sqrt[4]{\\text{cos}(9x)}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"170\" style=\"vertical-align: -11px;\"><\/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-left\">\u307e\u305a\u3001\u5bfe\u6570\u306e\u6027\u8cea\u3092\u4f7f\u7528\u3057\u3066\u95a2\u6570\u3092\u5358\u7d14\u5316\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-95cc0f73a05b0cde647035b17d0fed60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln\\left(\\text{cos}(9x)\\right)^{\\frac{1}{4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" 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-fac1c4306bdc844dc069a28c995e5dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{1}{4}\\ln\\left(\\text{cos}(9x)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u95a2\u6570\u304b\u3089\u6839\u53f7\u3092\u524a\u9664\u3057\u305f\u3089\u3001\u81ea\u7136\u307e\u305f\u306f\u81ea\u7136\u5bfe\u6570\u306e\u5c0e\u95a2\u6570\u306e\u898f\u5247\u3092\u4f7f\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-491d95a8a33d226da4fc5d62a8e70f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u5408\u6210\u5bfe\u6570\u95a2\u6570\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-440b871bd7321bb0121db9a588adde6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)&amp;=\\cfrac{1}{4}\\cdot \\cfrac{-\\text{sen}(9x)\\cdot 9}{\\text{cos}(9x)}=\\cfrac{-9\\text{sen}(9x)}{4\\text{cos}(9x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"304\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u4efb\u610f\u306e\u5e95 (\u516c\u5f0f) \u3067\u5bfe\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u793a\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5bfe\u6570\u95a2\u6570\u306e\u5fae\u5206\u306b\u95a2\u3059\u308b\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u5bfe\u6570\u95a2\u6570\u3092\u9664\u7b97\u3059\u308b\u516c\u5f0f\u306f\u3001\u5bfe\u6570\u304c\u81ea\u7136\u5bfe\u6570 (\u5e95\u304c e) \u3067\u3042\u308b\u304b\u3001\u5225\u306e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%af%be%e6%95%b0%e9%96%a2%e6%95%b0%e3%83%8d%e3%83%9a%e3%83%aa%e3%82%a2%e3%83%b3%e8%87%aa%e7%84%b6%e5%af%be%e6%95%b0%e3%81%ae%e5%b0%8e%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u5bfe\u6570\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-381","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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