{"id":5312,"date":"2025-01-01T21:17:37","date_gmt":"2025-01-01T12:17:37","guid":{"rendered":"https:\/\/torisetudy.com\/?p=5312"},"modified":"2026-03-09T17:48:21","modified_gmt":"2026-03-09T08:48:21","slug":"%e5%be%ae%e5%88%86%e4%bf%82%e6%95%b0%e3%81%a8%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=5312","title":{"rendered":"\u5fae\u5206\u4fc2\u6570\u3068\u5c0e\u95a2\u6570"},"content":{"rendered":"\n<div id=\"toc_container\" class=\"no_bullets\"><p class=\"toc_title\">\u76ee\u6b21<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u95a2\u6570\u306e\u6975\u9650<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u5fae\u5206\u4fc2\u6570<\/a><\/li><li><a href=\"#i-3\"><span class=\"toc_number toc_depth_1\">3<\/span> \u5c0e\u95a2\u6570\u306e\u5b9a\u7fa9<\/a><\/li><li><a href=\"#i-4\"><span class=\"toc_number toc_depth_1\">4<\/span> \u5fae\u5206\u6cd5\u306e\u516c\u5f0f<\/a><\/li><li><a href=\"#i-5\"><span class=\"toc_number toc_depth_1\">5<\/span> \u5c0e\u95a2\u6570\u306e\u6027\u8cea<\/a><\/li><\/ul><\/div>\n<h2 class=\"wp-block-heading\"><span id=\"i\">\u95a2\u6570\u306e\u6975\u9650<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u307e\u305a\u306f\u8a00\u8449\u306e\u78ba\u8a8d<\/h3>\n\n\n\n<p>\u95a2\u6570 $f(x)=2x^2$ \u306b\u304a\u3044\u3066\uff0c$x$ \u304c $1$ \u3068\u7570\u306a\u308b\u5024\u3092\u3068\u308a\u306a\u304c\u3089 $1$ \u306b\u8fd1\u3065\u304f\u3068\u304d\uff0c$f(x)$ \u306e\u5024\u306f $2$ \u306b\u9650\u308a\u306a\u304f\u8fd1\u3065\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u4e00\u822c\u306b\uff0c\u95a2\u6570 $f(x)$ \u306b\u304a\u3044\u3066\uff0c\u5909\u6570 $x$ \u304c $a$ \u3068\u7570\u306a\u308b\u5024\u3092\u3068\u308a\u306a\u304c\u3089 $a$ \u306b\u9650\u308a\u306a\u304f\u8fd1\u3065\u304f\u3068\u304d\uff0c\u305d\u308c\u306b\u5fdc\u3058\u3066\uff0c$f(x)$ \u306e\u5024\u304c\u4e00\u5b9a\u306e\u5024 $\\alpha$ \u306b\u9650\u308a\u306a\u304f\u8fd1\u3065\u304f\u5834\u5408\uff0c<\/p>\n\n\n\n<p>$$\\lim_{x\\to a}f(x)=\\alpha\\quad\\stext{\u307e\u305f\u306f}\\quad \\stext{$x\\to a$ \u306e\u3068\u304d $f(x)\\to\\alpha$}$$\u3068\u304b\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5024 $\\alpha$ \u3092 $x\\to a$ \u306e\u3068\u304d\u306e\u95a2\u6570 $f(x)$ \u306e<span class=\"st-mymarker-s\">\u6975\u9650\u5024<\/span>\u307e\u305f\u306f<span class=\"st-mymarker-s\">\u6975\u9650<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u307e\u305f\uff0c\u3053\u306e\u3068\u304d\uff0c<span class=\"st-mymarker-s\">$f(x)$ \u306f $\\alpha$ \u306b\u53ce\u675f\u3059\u308b<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u4e0a\u306e\u95a2\u6570 $f(x)=2x^2$ \u306b\u3064\u3044\u3066\u306f\uff0c$x\\to1$ \u306e\u3068\u304d\u306e\u6975\u9650\u5024\u306f $2$ \u3067\uff0c<\/p>\n\n\n\n<p>$$\\lim_{x\\to1}2x^2=2\\quad\\stext{\u307e\u305f\u306f}\\quad\\stext{\u300c$x\\to1$ \u306e\u3068\u304d $2x^2\\to2$\u300d}$$\u3068\u8868\u8a18\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u975e\u5e38\u306b\u3088\u304f\u4f7f\u3046\u8868\u73fe\u306a\u306e\u3067\u6163\u308c\u307e\u3057\u3087\u3046\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-2\">\u5fae\u5206\u4fc2\u6570<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u30b0\u30e9\u30d5\u3092\u7528\u3044\u3066<\/h3>\n\n\n\n<p>\u95a2\u6570 $y=f(x)$ \u306b\u304a\u3044\u3066\uff0c$x$ \u306e\u5024\u304c $a$ \u304b\u3089 $a+h$ \u307e\u3067\u5909\u5316\u3059\u308b\u3068\u304d\uff0c$y$ \u306e\u5909\u5316\u91cf\u306f $f(a+h)-f(a)$ \u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"182\" height=\"138\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66373-1.svg\" alt=\"\" class=\"wp-image-5396\"\/><noscript><img decoding=\"async\" width=\"182\" height=\"138\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66373-1.svg\" alt=\"\" class=\"wp-image-5396\"\/><\/noscript><\/figure>\n\n\n\n<p>$x$ \u306e\u5909\u5316\u306b\u5bfe\u3059\u308b $y$ \u306e\u5909\u5316\u306e\u5272\u5408<\/p>\n\n\n\n<p>$$\\Bun{f(a+h)-f(a)}{(a+h)-a}=\\bun{f(a+h)-f(a)}{h}$$\u3092\uff0c$x$ \u304c $a$ \u304b\u3089 $a+h$ \u307e\u3067\u5909\u5316\u3059\u308b\u3068\u304d\u306e<span class=\"st-mymarker-s\">\u5e73\u5747\u5909\u5316\u7387<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u56f3\u306e\u8272\u4ed8\u304d\u306e\u76f4\u7dda\u306e\u50be\u304d\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u306d\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u307e\u305f\uff0c$\\displaystyle\\lim_{h\\to0}\\Bun{f(a+h)-f(a)}{h}$ \u304c\u5b58\u5728\u3059\u308b\u3068\u304d\uff0c\u3053\u308c\u3092 $f(x)$ \u306e $x=a$ \u306b\u304a\u3051\u308b<span class=\"st-mymarker-s\">\u5fae\u5206\u4fc2\u6570<\/span>\u3068\u3044\u3044\uff0c$f\\mskip 2mu\\prime (a)$ \u3067\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"182\" height=\"138\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66373_2.svg\" alt=\"\" class=\"wp-image-5401\"\/><noscript><img decoding=\"async\" width=\"182\" height=\"138\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66373_2.svg\" alt=\"\" class=\"wp-image-5401\"\/><\/noscript><\/figure>\n\n\n\n<p>$\\displaystyle f\\mskip 2mu\\prime (a)=\\lim_{h\\to0}\\Bun{f(a+h)-f(a)}{h}$ \u306f\uff0c\u95a2\u6570 $y=f(x)$ \u306e\u30b0\u30e9\u30d5\u306e\uff0c$x=a$ \u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u50be\u304d\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>$h$ \u3092\u5c0f\u3055\u304f\u3057\u3066\u3044\u304f\u3068\uff0c\u3084\u304c\u3066 $x=a$ \u306b\u304a\u3051\u308b\u63a5\u7dda\u306b\u306a\u308b\u3088\uff0c\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u305d\u306e\u63a5\u7dda\u306e\u50be\u304d\u304c $f\\mskip 2mu\\prime (a)$\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-3\">\u5c0e\u95a2\u6570\u306e\u5b9a\u7fa9<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u95a2\u6570\u3068\u3057\u3066<\/h3>\n\n\n\n<p>\u95a2\u6570 $f(x)$ \u306e $x=a$ \u306b\u304a\u3051\u308b\u5fae\u5206\u4fc2\u6570 $\\displaystyle f\\mskip 2mu\\prime (a)=\\lim_{h\\to0}\\Bun{f(a+h)-f(a)}{h}$ \u306f\uff0c$a$ \u304c\u69d8\u3005\u306a\u5024\u3092\u3068\u308b\u30681\u3064\u306e\u95a2\u6570\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\uff0c$a$ \u3092 $x$ \u3067\u66f8\u304d\u63db\u3048\u3066\uff0c<\/p>\n\n\n\n<p>$$f\\mskip 2mu\\prime (x)=\\lim_{h\\to0}\\Bun{f(x+h)-f(x)}{h}\\ \\qquad\\stext{\u2026\u2606}$$\u3068\u5b9a\u7fa9\u3057\u305f\u95a2\u6570 $f\\mskip 2mu\\prime (x)$ \u3092\uff0c$f(x)$ \u306e<span class=\"st-mymarker-s\">\u5c0e\u95a2\u6570<\/span>\u3068\u3044\u3044\uff0c\u5c0e\u95a2\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u3092<span class=\"st-mymarker-s\">\u5fae\u5206\u3059\u308b<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u95a2\u6570 $y=f(x)$ \u306b\u304a\u3051\u308b\uff0c\u63a5\u7dda\u306e\u50be\u304d\u3092\u8868\u3059\u95a2\u6570\u304c\u5c0e\u95a2\u6570\u3067\u3059\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">$\\varDelta$ \u3092\u7528\u3044\u305f\u8868\u73fe<\/h3>\n\n\n\n<p>\u95a2\u6570 $y=f(x)$ \u306b\u304a\u3044\u3066\uff0c$x$ \u306e\u5897\u5206\uff08\u2606\u5f0f\u306e $h$\uff09\u3092 $\\varDelta x$ \uff0c\u305d\u308c\u306b\u5bfe\u3059\u308b $y$ \u306e\u5897\u5206\uff08\u2606\u5f0f\u306e $f(x+h)-f(x)$\uff09\u3092 $\\varDelta y$ \u3068\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned} f\\mskip 2mu\\prime (x)&amp;=\\lim_{h\\to0}\\bun{f(x+h)-f(x)}{h}\\\\&amp;=\\lim_{\\varDelta x\\to0}\\Bun{\\varDelta y}{\\varDelta x} \\end{aligned}$$\u3068\u8868\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"182\" height=\"138\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66278.svg\" alt=\"\" class=\"wp-image-5516\"\/><noscript><img decoding=\"async\" width=\"182\" height=\"138\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66278.svg\" alt=\"\" class=\"wp-image-5516\"\/><\/noscript><\/figure>\n\n\n\n<p>$\\varDelta$\uff08\u30c7\u30eb\u30bf\uff09\u3092\u4f7f\u3063\u305f\u8868\u8a18\u306f\u7c21\u7565\u5316\u3067\u304d\u3066\u4fbf\u5229\u306a\u306e\u3067\uff0c\u3053\u306e\u8868\u3057\u65b9\u306b\u3082\u6163\u308c\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon4 clearfix\"><div class=\"st-kaiwa-area2\"><div class=\"st-kaiwa-hukidashi2\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u7269\u7406\u3067\u306f\u3053\u3061\u3089\u306e\u8868\u8a18\u3092\u3088\u304f\u4f7f\u3044\u307e\u3059\u3002<\/p>\n<\/div><\/div><\/div><div class=\"st-kaiwa-face2\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u5b66\u7fd2\uff09.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u5b66\u7fd2\uff09.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name2\">\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u8868\u8a18\u306b\u3064\u3044\u3066<\/h3>\n\n\n\n<p>\u95a2\u6570 $y=f(x)$ \u306e\u5c0e\u95a2\u6570\u3092\u8868\u3059\u8a18\u53f7\u3068\u3057\u3066\u306f\uff0c$y\\mskip 1mu\\prime $\uff0c$\\bun{\\dy}{\\dx}$\uff0c$\\bun{d}{\\dx}y$\uff0c$\\bun{d}{\\dx}f(x)$ \u306a\u3069\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>$\\bun{d}{d\\stext{\u25cf}}\\stext{\u25a0}$ \u306f\uff0c\u300c\u25a0\u3092\u25cf\u3067\u5fae\u5206\u3059\u308b\u300d\u3068\u3044\u3046\u610f\u5473\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\uff0c$s=f(t)$ \u306e\u3068\u304d\uff0c$\\Bun{d}{\\dt}s$ \u306f\u300c$s$ \u3092 $t$ \u3067\u5fae\u5206\u3059\u308b\u300d\u3068\u3044\u3046\u610f\u5473\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3053\u306e\u300c\u306a\u306b\u3067\u5fae\u5206\u3057\u3066\u3044\u308b\u304b\u300d\u306f\u91cd\u8981\uff01\u7269\u7406\u3067\u306f\u3088\u304f\u6642\u523b $t$ \u3067\u5fae\u5206\u3057\u307e\u3059\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u307e\u305f\uff0c\u95a2\u6570 $f(x)$ \u306e\u5c0e\u95a2\u6570\u304c\u5b58\u5728\u3059\u308b\u3068\u304d\uff0c$f(x)$ \u306f<span class=\"st-mymarker-s\">\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308b<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u5fae\u5206\u53ef\u80fd\u6027\u306b\u3064\u3044\u3066\u306f\uff0c\u66f8\u7c4d\u6570\u5b66\u306e\u30c8\u30ea\u30bb\u30c4\u6570\u5b66\u2162\u3067\u8a73\u3057\u304f\u6271\u3063\u3066\u3044\u307e\u3059\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-4\">\u5fae\u5206\u6cd5\u306e\u516c\u5f0f<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u516c\u5f0f<\/h3>\n\n\n\n<p>\u5c0e\u95a2\u6570\u3092\uff0c\u30a4\u30c1\u30a4\u30c1\u5b9a\u7fa9\u3092\u7528\u3044\u3066\u8a08\u7b97\u3059\u308b\u306e\u306f\u3068\u3066\u3082\u9762\u5012\u304f\u3055\u3044\u3067\u3059\u3088\u306d\u3002\u6709\u540d\u306a\u95a2\u6570\u306f\uff0c\u5c0e\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306a\u5f62\u306b\u306a\u308b\u306e\u304b\u516c\u5f0f\u5316\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-point\" style=\"background-color:#fff;border-color:#ff7f50\"><p class=\"st-mybox-title\" style=\"color:#ff7f50;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"\"><\/i>\u6709\u540d\u306a\u5c0e\u95a2\u6570<\/p><div class=\"st-in-mybox\">\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u95a2\u6570 $f(x)=x^n$\uff08$n$ \u306f\u81ea\u7136\u6570\uff09\u306e\u5c0e\u95a2\u6570\u306f\uff0c\u4e00\u822c\u7684\u306b\uff0c<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$f\\mskip 2mu\\prime (x)=nx^{n-1}$$<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u3092\u7528\u3044\u308b\u3068\u305f\u3068\u3048\u3070\uff0c<\/p>\n\n\n\n<p>$$(x^4)\\mskip 1mu\\prime =4x^3,\\ (x^3)\\mskip 1mu\\prime =3x^2,\\ (x^2)\\mskip 1mu\\prime =2x,\\ (x)\\mskip 1mu\\prime =1$$\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\uff0c$c$ \u304c\u5b9a\u6570\u3067\u3042\u308b\u3068\u304d\uff0c<\/p>\n\n\n\n<p>$$(c)\\mskip 1mu\\prime =0$$\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3053\u306e\u516c\u5f0f\u306f\u5bdd\u3066\u3066\u3082\u4f7f\u3048\u308b\u3088\u3046\u306b\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-5\">\u5c0e\u95a2\u6570\u306e\u6027\u8cea<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u6027\u8cea\u306b\u3064\u3044\u3066<\/h3>\n\n\n\n<p>\u95a2\u6570 $f(x)$\uff0c$g(x)$ \u304c\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308b\u3068\u304d\uff0c\u4ee5\u4e0b\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-point\" style=\"background-color:#fff;border-color:#ff7f50\"><p class=\"st-mybox-title\" style=\"color:#ff7f50;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"\"><\/i>\u5c0e\u95a2\u6570\u306e\u6027\u8cea<\/p><div class=\"st-in-mybox\">\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$k,\\,l$ \u3092\u5b9a\u6570\u3068\u3059\u308b\u3068\u304d\uff0c\u4ee5\u4e0b\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$\\begin{aligned}&amp;\\{kf(x)\\}&#8217;=kf\\mskip 2mu\\prime (x)\\\\&amp;\\{f(x)+g(x)\\}&#8217;=f\\mskip 2mu\\prime (x)+g\\mskip 1mu\\prime (x)\\end{aligned}$$<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u307e\u305f\uff0c\u3053\u308c\u3089\u3088\u308a\uff0c<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$\\{kf(x)+lg(x)\\}&#8217;=kf\\mskip 2mu\\prime (x)+lg\\mskip 1mu\\prime (x)$$<\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u95a2\u6570\u306e\u6975\u96502 \u5fae\u5206\u4fc2\u65703 \u5c0e\u95a2\u6570\u306e\u5b9a\u7fa94 \u5fae\u5206\u6cd5\u306e\u516c\u5f0f5 \u5c0e\u95a2\u6570\u306e\u6027\u8cea \u95a2\u6570\u306e\u6975\u9650 \u307e\u305a\u306f\u8a00\u8449\u306e\u78ba\u8a8d \u95a2\u6570 $f(x)=2x^2$ \u306b\u304a\u3044\u3066\uff0c$x$ \u304c $1$ \u3068\u7570\u306a\u308b\u5024\u3092\u3068\u308a\u306a\u304c\u3089 $1$ &#8230; <\/p>\n","protected":false},"author":1,"featured_media":5331,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,32],"tags":[],"class_list":["post-5312","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-calculus","category-32"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5312"}],"collection":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5312"}],"version-history":[{"count":26,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5312\/revisions"}],"predecessor-version":[{"id":5520,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5312\/revisions\/5520"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/media\/5331"}],"wp:attachment":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}