{"id":5322,"date":"2025-01-08T19:55:20","date_gmt":"2025-01-08T10:55:20","guid":{"rendered":"https:\/\/torisetudy.com\/?p=5322"},"modified":"2026-03-09T17:49:32","modified_gmt":"2026-03-09T08:49:32","slug":"%e3%81%95%e3%81%be%e3%81%96%e3%81%be%e3%81%aa%e5%be%ae%e5%88%86","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=5322","title":{"rendered":"\u3055\u307e\u3056\u307e\u306a\u5fae\u5206"},"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> \u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206<\/a><\/li><\/ul><\/div>\n<h2 class=\"wp-block-heading\"><span id=\"i\">\u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u7d50\u8ad6<\/h3>\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>\u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>2\u3064\u306e\u95a2\u6570 $f(x)$ \u3068 $g(x)$ \u306e\u5408\u6210\u95a2\u6570 $f(g(x))$ \u306e\u5fae\u5206\u6cd5\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002\u307e\u305a\u306f\u3044\u304d\u306a\u308a\u7d50\u8ad6\u304b\u3089\u898b\u3066\u307f\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>\u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5<\/p><div class=\"st-in-mybox\">\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u306b\u3064\u3044\u3066\uff0c\u4ee5\u4e0b\u304c\u6210\u7acb\u3059\u308b\u3002<\/p>\n\n\n\n<p>$${f(g(x))}&#8217;=f\\mskip 2mu\\prime (g(x))\\cdot g\\mskip 1mu\\prime (x)$$<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u3060\u3051\u898b\u3066\u3082\u308f\u304b\u308a\u3065\u3089\u3044\u306e\u3067\uff0c\u4f8b\u984c\u3067\u78ba\u8a8d\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-normalbox\" style=\"background-color:#fff;border-color:#777777\"><p class=\"st-mybox-title\" style=\"color:#777777;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-check-circle st-css-no\" aria-hidden=\"\"><\/i>\u4f8b\u984c<\/p><div class=\"st-in-mybox\">\n<p>$y=(2x+1)^3$ \u3092\u5fae\u5206\u305b\u3088\u3002<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u8003\u3048\u65b9<\/h3>\n\n\n\n<p>\u95a2\u6570 $y=(2x+1)^3$ \u306f\uff0c$f(x)=x^3$\uff0c$g(x)=2x+1$ \u3068\u3057\u305f\u3068\u304d\uff0c$y=f(g(x))$ \u306e\u5f62\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e $g(x)$ \u30921\u3064\u306e\u30ab\u30bf\u30de\u30ea\u3068\u898b\u3066\u5168\u4f53\u3092\u5fae\u5206\u3057\uff0c$g(x)$ \u3068\u3044\u3046\u30ab\u30bf\u30de\u30ea\u3092\u5fae\u5206\u3057\u305f $g\\mskip 1mu\\prime (x)$ \u3092\u5f8c\u304b\u3089\u304b\u3051\u308b\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002\u5b9f\u969b\u306b\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned} y\\mskip 1mu\\prime &amp;=3(2x+1)^2\\cdot(2x+1)\\mskip 1mu\\prime \\\\&amp;=6(2x+1)^2 \\end{aligned}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u300c\u30ab\u30bf\u30de\u30ea\u300d\u306e\u8003\u3048\u65b9<\/h3>\n\n\n\n<p>\u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5\u306f\uff0c\u3046\u307e\u304f\u30ab\u30bf\u30de\u30ea\u3092\u4f5c\u308b\u3053\u3068\u304c\u30dd\u30a4\u30f3\u30c8\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u4e0a\u306e\u554f\u984c\u306b\u304a\u3044\u3066\uff0c$2x+1$ \u3068\u3044\u3046\u30ab\u30bf\u30de\u30ea\u3092\u25a1\u3067\u7f6e\u3044\u3066\u307f\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$y=\\left(\\stext{\u25a1}\\right)^3$$\u306e\u5fae\u5206\u3092\u3059\u308b\u30a4\u30e1\u30fc\u30b8\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u25a1\u306e\u95a2\u6570\u3068\u3057\u3066\u5fae\u5206\u3057\uff0c\u6700\u5f8c\u306b\u25a1\u3092\u5fae\u5206\u3057\u305f\u3082\u306e\u3092\u304b\u3051\u308b\u308f\u3051\u3067\u3059\u3002\u3059\u306a\u308f\u3061\uff0c<\/p>\n\n\n\n<p>$$y\\mskip 1mu\\prime =3(\\stext{\u25a1})^2\\cdot\\stext{\u25a1}&#8217;$$\u3068\u3044\u3063\u305f\u611f\u3058\u3067\u3059\u3002\u3053\u306e\u25a1\u306b $2x+1$ \u3092\u5165\u308c\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$y\\mskip 1mu\\prime =3(2x+1)^2\\cdot(2x+1)\\mskip 1mu\\prime $$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30ab\u30bf\u30de\u30ea\u3092\u4f5c\u3063\u3066\u3067\u304d\u305f\u95a2\u6570\u5168\u4f53\u3092\u30ab\u30bf\u30de\u30ea\u306e\u307e\u307e\u5fae\u5206\u3059\u308b\u3053\u3068\u3092\u300c\u5168\u4f53\u5fae\u5206\u300d\u3068\u547c\u3076\u306a\u3089\u3070\uff0c<\/p>\n\n\n\n<p>$$\\stext{\u300c\u5168\u4f53\u5fae\u5206 $\\times$ \u30ab\u30bf\u30de\u30ea\u306e\u5fae\u5206\u300d}$$\u3068\u3044\u3046\u5f62\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5\u306f\uff0c\u516c\u5f0f\u3092\u4e38\u6697\u8a18\u3057\u3066\u3082\u3042\u307e\u308a\u6d3b\u7528\u3067\u304d\u306a\u3044\u306e\u3067\uff0c<span class=\"st-mymarker-s-b\">\u300c\u5168\u4f53\u5fae\u5206 $\\times$ \u30ab\u30bf\u30de\u30ea\u306e\u5fae\u5206\u300d\u3068\u3044\u3046\u4ed5\u7d44\u307f<\/span>\u3092\u6697\u8a18\u3057\u3066\u4f7f\u3044\u307e\u3057\u3087\u3046\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>\u8a3c\u660e\u306b\u3064\u3044\u3066\u306f\u6975\u9650\u306e\u5185\u5bb9\u306e\u7406\u89e3\u304c\u5fc5\u8981\u3068\u306a\u308b\u306e\u3067\uff0c\u6570\u5b66\u306e\u30c8\u30ea\u30bb\u30c4\u3067\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-2\">\u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u516c\u5f0f\u306e\u7d39\u4ecb<\/h3>\n\n\n\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206\u6cd5\u306e\u516c\u5f0f\u3092\u7d39\u4ecb\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>\u8a3c\u660e\u3082\u5927\u5207\u306a\u306e\u3067\u3059\u304c\uff0c\u7406\u89e3\u3057\u3088\u3046\u3068\u601d\u3046\u3068\u4ed6\u306e\u6570\u2162\u306e\u5358\u5143\u306e\u7406\u89e3\u304c\u5fc5\u8981\u3068\u306a\u308b\u306e\u3067\uff0c\u307e\u305a\u306f\u7d50\u679c\u3092\u899a\u3048\u307e\u3057\u3087\u3046\uff01\u516c\u5f0f\u3092\u899a\u3048\u3066\u3044\u308c\u3070\u7269\u7406\u306e\u5b66\u7fd2\u3067\u51fa\u3066\u304d\u3066\u3082\u7406\u89e3\u3067\u304d\u307e\u3059\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u899a\u3048\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>\u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206\u516c\u5f0f<\/p><div class=\"st-in-mybox\">\n<p>\u4ee5\u4e0b\u306e\u5fae\u5206\u516c\u5f0f\u304c\u6210\u7acb\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$\\begin{aligned}&amp;(\\sin x)\\mskip 1mu\\prime =\\cos x\\\\&amp;(\\cos x)\\mskip 1mu\\prime =-\\sin x\\\\&amp;(\\tan x)\\mskip 1mu\\prime =\\bun{1}{\\cos^2x}\\end{aligned}$$<\/p>\n<\/div><\/div>\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\u3061\u3089\u3082\uff0c\u3088\u308a\u6df1\u3044\u7406\u89e3\u3084\u8a3c\u660e\u306b\u3064\u3044\u3066\u306f\u6570\u5b66\u306e\u30c8\u30ea\u30bb\u30c4\u3067\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd52 \u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206 \u5408\u6210\u95a2\u6570\u306e\u5fae\u5206\u6cd5 \u7d50\u8ad6 2\u3064\u306e\u95a2\u6570 $f(x)$ \u3068 $g(x)$ \u306e\u5408\u6210\u95a2\u6570 $f(g(x))$ \u306e\u5fae\u5206\u6cd5\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002\u307e\u305a\u306f\u3044\u304d\u306a\u308a\u7d50\u8ad6\u304b\u3089\u898b\u3066\u307f\u307e &#8230; <\/p>\n","protected":false},"author":1,"featured_media":5335,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,32],"tags":[],"class_list":["post-5322","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\/5322"}],"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=5322"}],"version-history":[{"count":17,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5322\/revisions"}],"predecessor-version":[{"id":5533,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5322\/revisions\/5533"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/media\/5335"}],"wp:attachment":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}