{"id":5210,"date":"2022-03-07T18:58:47","date_gmt":"2022-03-07T09:58:47","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=5210"},"modified":"2022-12-09T23:17:12","modified_gmt":"2022-12-09T14:17:12","slug":"differential-5","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/differential-5.html","title":{"rendered":"\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\uff1a\u5fae\u5206\u3068\u4e09\u89d2\u95a2\u6570\u3001\u6307\u6570\u95a2\u6570\u3001\u5bfe\u6570\u95a2\u6570\u306e\u7f6e\u304d\u63db\u3048"},"content":{"rendered":"\n<p>\u5fae\u5206\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u65b0\u305f\u306a\u95a2\u6570\uff08\u5c0e\u95a2\u6570\uff09\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5c0e\u95a2\u6570\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6975\u5927\u3084\u6975\u5c0f\u3068\u306a\u308b\u5834\u6240\u304c\u308f\u304b\u308c\u3070\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3068\u304d\\(x\\)\u306e\u7bc4\u56f2\u304c\u5909\u5316\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3069\u306e\u3088\u3046\u306a\u6761\u4ef6\u306e\u3068\u304d\u306b\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u306b\u306a\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\u5fdc\u7528\u554f\u984c\u3068\u3057\u3066\u4e09\u89d2\u95a2\u6570\u3084\u6307\u6570\u95a2\u6570\u3001\u5bfe\u6570\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u3092\u3057\u305f\u308a\u3001\\(x\\)\u306e\u7bc4\u56f2\u3092\u6c42\u3081\u305f\u308a\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u306f\u3001\u8a08\u7b97\u65b9\u6cd5\u3092\u899a\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u3088\u3046\u306b\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308c\u3070\u3044\u3044\u306e\u304b\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5c0e\u95a2\u6570\u3092\u5229\u7528\u3057\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b<\/h2>\n<p>\\(\u03b1\u2266x\u2266\u03b2\\)\u306e\u3068\u304d\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u554f\u308f\u308c\u308b\u554f\u984c\u304c\u983b\u7e41\u306b\u51fa\u984c\u3055\u308c\u307e\u3059\u3002\u6975\u5024\u3092\u3082\u305f\u306a\u3044\u4e09\u6b21\u95a2\u6570\u306e\u5834\u5408\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u7b54\u3048\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u4e00\u65b9\u3067\u6975\u5024\u3092\u3082\u3064\u4e09\u6b21\u95a2\u6570\u3067\u306f\u3001\u3069\u3053\u304c\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u306b\u306a\u308b\u306e\u304b\u78ba\u8a8d\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305a\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u6975\u5024\u3092\u3082\u3064\u4e09\u6b21\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\u6700\u5927\u5024\u306f\u6975\u5927\u5024\u3001\u7bc4\u56f2\u306e\u5de6\u7aef\u3001\u7bc4\u56f2\u306e\u53f3\u7aef\u306e\u3069\u3053\u304b\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/terryr4.jpg\" alt=\"\" width=\"500\" height=\"453\" class=\"aligncenter size-full wp-image-5212\" \/><\/p>\n<p>\u305d\u306e\u305f\u3081<span style=\"color: #0000ff;\">\u6700\u5927\u5024\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u306f\u3001\u6975\u5927\u5024\u3084\u5de6\u7aef\u3001\u53f3\u7aef\u306b\u7740\u76ee\u3059\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>\u6700\u5c0f\u5024\u3092\u63a2\u3059\u65b9\u6cd5\u3082\u8003\u3048\u65b9\u306f\u540c\u3058\u3067\u3059\u3002<span style=\"color: #0000ff;\">\u4e09\u6b21\u95a2\u6570\u306e\u6975\u5c0f\u5024\u3068\u5de6\u7aef\u3001\u53f3\u7aef\u3092\u78ba\u8a8d\u3057\u3001\u6700\u5c0f\u5024\u304c\u3069\u3053\u306b\u306a\u308b\u306e\u304b\u898b\u3064\u3051\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/terryr5.jpg\" alt=\"\" width=\"500\" height=\"449\" class=\"aligncenter size-full wp-image-5213\" \/><\/p>\n<p>\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u306f\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u6c42\u3081\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u63a2\u3059\u306b\u306f\u3001\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5c0e\u95a2\u6570\u3092\u5f97\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001<span style=\"color: #ff0000;\">\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306b\u95a2\u3059\u308b\u554f\u984c\u304c\u51fa\u3055\u308c\u305f\u3068\u304d\u3001\u307e\u305a\u306f\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(f(x)=x^3-6x^2+9x+2\\)\u306e\u4e09\u6b21\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\\(-1\u2266x\u22664\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306e\u5024\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p>\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u307e\u305a\u306f\u5c0e\u95a2\u6570\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(f'(x)=3x^2-12x+9\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\\(f'(x)=0\\)\u3068\u306a\u308b\u5024\u3092\u63a2\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(3x^2-12x+9=0\\)<\/p>\n<p>\\(3(x^2-4x+3)=0\\)<\/p>\n<p>\\(3(x-1)(x-3)=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(x=1\\)\u306e\u3068\u304d\u306b\u6975\u5927\u5024\u3001\\(x=3\\)\u306e\u3068\u304d\u306b\u6975\u5c0f\u5024\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\\(-1\u2266x\u22664\\)\u3067\u3042\u308b\u305f\u3081\u5de6\u7aef\\(f(-1)\\)\u3001\u6975\u5927\u5024\\(f(1)\\)\u3001\u6975\u5c0f\u5024\\(f(3)\\)\u3001\u53f3\u7aef\\(f(4)\\)\u306b\u3064\u3044\u3066\u3001\\(f(x)\\)\u306e\u5024\u3092\u51fa\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(-1)=-1-6-9+2=-14\\)<\/p>\n<p>\\(f(1)=1-6+9+2=6\\)<\/p>\n<p>\\(f(3)=27-54+27+2=2\\)<\/p>\n<p>\\(f(4)=64-96+36+2=6\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/terryr6.jpg\" alt=\"\" width=\"300\" height=\"365\" class=\"aligncenter size-full wp-image-5214\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\\(-1\u2266x\u22664\\)\u306e\u3068\u304d\u6700\u5927\u5024\u306f6\u3001\u6700\u5c0f\u5024\u306f14\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u6587\u7ae0\u984c\u306e\u554f\u984c<\/h3>\n<p>\u306a\u304a\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3092\u7b54\u3048\u308b\u554f\u984c\u306b\u3064\u3044\u3066\u3001\u6587\u7ae0\u984c\u3067\u51fa\u3055\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u6587\u7ae0\u304b\u3089\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u534a\u5f84\\(a\\)\u306e\u7403\u306b\u63a5\u3059\u308b\u5186\u67f1\u306b\u3064\u3044\u3066\u3001\u4f53\u7a4d\u304c\u6700\u5927\u3068\u306a\u308b\u3068\u304d\u3001\u6700\u5927\u5024\u3068\u305d\u306e\u3068\u304d\u306e\u9ad8\u3055\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u534a\u5f84\\(a\\)\u306e\u7403\u306b\u63a5\u3059\u308b\u5186\u67f1\u3092\u5b9f\u969b\u306b\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u5186\uff08\u5186\u67f1\u306e\u5e95\u9762\uff09\u306e\u534a\u5f84\u3092\\(b\\)\u3001\u5186\u67f1\u306e\u534a\u5206\u306e\u9ad8\u3055\u3092\\(h\\)\u3068\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gref1.jpg\" alt=\"\" width=\"391\" height=\"390\" class=\"aligncenter size-full wp-image-5215\" srcset=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gref1.jpg 391w, https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gref1-150x150.jpg 150w, https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gref1-300x300.jpg 300w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/p>\n<p>\u5186\u67f1\u306e\u5e95\u9762\u306e\u534a\u5f84\u306f\\(b\\)\u3067\u3042\u308a\u3001\u5186\u67f1\u306e\u9ad8\u3055\u306f\\(2h\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5186\u67f1\u306e\u4f53\u7a4d\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(b^2\u00d7\u03c0\u00d72h=2\u03c0b^2h\\)<\/p>\n<p>\u307e\u305f\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3088\u308a\u3001\\(a^2=b^2+h^2\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001\\(b^2=a^2-h^2\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u4f53\u7a4d\\(V\\)\u306f\u4ee5\u4e0b\u306e\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(V=2\u03c0b^2h\\)<\/p>\n<p>\\(=2\u03c0h(a^2-h^2)\\)<\/p>\n<p>\\(=-2\u03c0h^3+2\u03c0a^2h\\)<\/p>\n<p><span style=\"color: #0000ff;\">\u3053\u306e\u5f0f\u306f\\(h\\)\uff08\u9ad8\u3055\uff09\u304c\u5909\u5316\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4f53\u7a4d\\(V\\)\u304c\u5909\u308f\u308b\u95a2\u6570\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305d\u3053\u3067\u3001\\(h\\)\u3092\u57fa\u6e96\u306b\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(V&#8217;=-6\u03c0h^2+2\u03c0a^2\\)<\/p>\n<p>\\(V&#8217;=-2\u03c0(3h^2-a^2)\\)<\/p>\n<p>\\(V&#8217;=-2\u03c0(\\sqrt{3}h+a)(\\sqrt{3}h-a)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(h=-\\displaystyle\\frac{a}{\\sqrt{3}}\\)\u307e\u305f\u306f\\(h=\\displaystyle\\frac{a}{\\sqrt{3}}\\)\u306e\u3068\u304d\u3001\u4e09\u6b21\u95a2\u6570\\(V\\)\u306f\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(0&lt;h&lt;a\\)\\((a&gt;0)\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(h=-\\displaystyle\\frac{a}{\\sqrt{3}}\\)\u306f\u4e0d\u9069\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6975\u5927\u5024\u3068\u306a\u308b\\(h=\\displaystyle\\frac{a}{\\sqrt{3}}\\)\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\u6700\u5927\u5024\u3092\u78ba\u8a8d\u3059\u308b\u3068\u304d\u3001\u6975\u5024\u3068\u7bc4\u56f2\u306e\u5de6\u7aef\u3001\u7bc4\u56f2\u306e\u53f3\u7aef\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\\(h\\)\u306e\u5024\u304c0\u3084\\(a\\)\u306e\u3068\u304d\u3001\u4f53\u7a4d\\(V\\)\u306f0\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gref3.jpg\" alt=\"\" width=\"300\" height=\"315\" class=\"aligncenter size-full wp-image-5216\" \/><\/p>\n<p>\u305d\u306e\u305f\u3081\\(h=\\displaystyle\\frac{a}{\\sqrt{3}}\\)\u306e\u3068\u304d\u3001\u4f53\u7a4d\u306f\u6700\u5927\u3068\u306a\u308a\u307e\u3059\u3002\u9ad8\u3055\u306f\\(2h\\)\u306a\u306e\u3067\u3001\u4f53\u7a4d\u304c\u6700\u5927\u3068\u306a\u308b\u9ad8\u3055\u306f\\(\\displaystyle\\frac{2a}{\\sqrt{3}}\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\\(h=\\displaystyle\\frac{a}{\\sqrt{3}}\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4f53\u7a4d\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(V=-2\u03c0h^3+2\u03c0a^2h\\)<\/p>\n<p>\\(V=-2\u03c0\\left(\\displaystyle\\frac{a}{\\sqrt{3}}\\right)^3+2\u03c0a^2\\left(\\displaystyle\\frac{a}{\\sqrt{3}}\\right)\\)<\/p>\n<p>\\(V=-\\displaystyle\\frac{2}{3\\sqrt{3}}\u03c0a^3+\\displaystyle\\frac{2}{\\sqrt{3}}\u03c0a^3\\)<\/p>\n<p>\\(V=\\displaystyle\\frac{4}{3\\sqrt{3}}\u03c0a^3\\)<\/p>\n<p>\\(V=\\displaystyle\\frac{4\\sqrt{3}}{9}\u03c0a^3\\)<\/p>\n<p>\u6587\u7ae0\u984c\u306e\u5834\u5408\u3001\u4eca\u56de\u306e\u3088\u3046\u306b\u3042\u306a\u305f\u304c\u5186\u67f1\u306e\u9ad8\u3055\u3084\u5186\u67f1\u306e\u5e95\u9762\u306e\u534a\u5f84\u3092\u8a2d\u5b9a\u3057\u3001\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<h3>\u6587\u5b57\u3092\u542b\u307f\u3001\u6975\u5024\u304c\u52d5\u304f\u5834\u5408\u306e\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024<\/h3>\n<p>\u6b21\u306b\u3001\u6587\u5b57\u3092\u542b\u3080\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<span style=\"color: #ff0000;\">\u5f0f\u306b\u6587\u5b57\u3092\u542b\u3080\u3068\u3044\u3046\u306e\u306f\u3001\u6975\u5024\u304c\u79fb\u52d5\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span>\u6975\u5024\u304c\u79fb\u52d5\u3059\u308b\u5834\u5408\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u304c\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(f(x)=x^3-6ax^2+9a^2x\\)\u306b\u3064\u3044\u3066\u3001\\(a\\)\u304c\u6b63\u306e\u5b9a\u6570\u306e\u5834\u5408\u3001\\(0\u2266x\u22661\\)\u3067\u306e\u6700\u5927\u5024\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p>\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u306f\u30b0\u30e9\u30d5\u306e\u6975\u5024\u3092\u6c42\u3081\u3001\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(f'(x)=3x^2-12ax+9a^2\\)<\/p>\n<p>\\(f'(x)=3(x^2-4ax+3a^2)\\)<\/p>\n<p>\\(f'(x)=3(x-3a)(x-a)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(x=a,3a\\)\u306e\u3068\u304d\u306b\u6975\u5024\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(f(a)\\)\u3068\\(f(3a)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(a)=a^3-6a^3+9a^3=4a^3\\)<\/p>\n<p>\\(f(3a)=27a^3-54a^3+27a^3=0\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/yur9.jpg\" alt=\"\" width=\"459\" height=\"326\" class=\"aligncenter size-full wp-image-5265\" \/><\/p>\n<p>\u6b21\u306b\\(0\u2266x\u22661\\)\u306e\u3068\u304d\u3001\\(a\\)\u306e\u5024\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e3\u30d1\u30bf\u30fc\u30f3\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\\(1&lt;a\\)\u306e\u5834\u5408<\/strong><\/p>\n<p>\u307e\u305a\u3001\\(1&lt;a\\)\u306e\u5834\u5408\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u5834\u5408\u3001\\(0\u2266x\u22661\\)\u306a\u306e\u3067\\(x\\)\u306e\u7bc4\u56f2\u306f\\(a\\)\u306e\u5024\u3088\u308a\u3082\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ugf4.jpg\" alt=\"\" width=\"469\" height=\"327\" class=\"aligncenter size-full wp-image-5218\" \/><\/p>\n<p>\u3064\u307e\u308a\u3001\\(f(1)\\)\u306e\u3068\u304d\u306b\u6700\u5927\u5024\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(x=1\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\\(f(1)=1-6a+9a^2\\)\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u304c\u6700\u5927\u5024\u3067\u3059\u3002<\/p>\n<p><strong>\u30fb\\(f(x)=4a^3\\)\u306b\u306a\u308b\\(x\\)\u306e\u5024\u3092\u6c42\u3081\u308b<\/strong><\/p>\n<p>\u6b21\u306b\u3001\\(f(x)=4a^3\\)\u3068\u306a\u308b\\(x\\)\u306e\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\\(f(a)=4a^3\\)\u3067\u3042\u308b\u3053\u3068\u306f\u65e2\u306b\u8ff0\u3079\u307e\u3057\u305f\u304c\u3001\\(f(x)=4a^3\\)\u3068\u306a\u308b\u3082\u3046\u4e00\u3064\u306e\\(x\\)\u306e\u5024\u3092\u898b\u3064\u3051\u308b\u306e\u3067\u3059\u3002\\(y\\)\u306e\u5024\u304c\\(4a^3\\)\u3088\u308a\u3082\u5927\u304d\u3044\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u5c0f\u3055\u3044\u306e\u304b\u306b\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6700\u5927\u5024\u304c\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ugf5.jpg\" alt=\"\" width=\"600\" height=\"202\" class=\"aligncenter size-full wp-image-5219\" \/><\/p>\n<p>\\(f(x)=x^3-6ax^2+9a^2x\\)\u3067\u3042\u308b\u305f\u3081\u3001\u7b54\u3048\u304c\\(4a^3\\)\u3068\u306a\u308b\u305f\u3081\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308c\u3070\u3044\u3044\u3067\u3059\u3002<\/p>\n<p>\\(x^3-6ax^2+9a^2x=4a^3\\)<\/p>\n<p>\\(x^3-6ax^2+9a^2x-4a^3=0\\)<\/p>\n<p>\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3001\u3053\u306e\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002\\(x=a\\)\u306e\u3068\u304d\u3001\\(f(a)=4a^3\\)\u306b\u306a\u308b\u3068\u65e2\u306b\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002\u307e\u305f\\(x=a\\)\u306e\u3068\u304d\u3001\u30b0\u30e9\u30d5\u3088\u308a\\(f(x)\\)\u306e\u66f2\u7dda\u3068\\(y=4a^3\\)\uff08\\(x\\)\u8ef8\u306b\u5e73\u884c\u306e\u76f4\u7dda\uff09\u306f\u63a5\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u308c\u306f\u3064\u307e\u308a\u3001\u91cd\u89e3\u3092\u3082\u3064\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<span style=\"color: #ff0000;\">\u91cd\u89e3\u3092\u3082\u3064\u305f\u3081\u3001\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\\((x-a)^2\\)\u3092\u5f0f\u306e\u4e2d\u306b\u3082\u305f\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/span><\/p>\n<p>\u3064\u307e\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(x^3-6ax^2+9a^2x-4a^3=0\\)<\/p>\n<p>\\((x-a)^2(x-A)=0\\)<\/p>\n<p>\\((x^2-2ax+a^2)(x-A)=0\\)<\/p>\n<p>\u305d\u308c\u3067\u306f\\(x^3-6ax^2+9a^2x-4a^3\\)\u3068\\((x-2a+a^2)(x-A)\\)\u3092\u6bd4\u3079\u3066\u3001A\u304c\u3069\u306e\u3088\u3046\u306a\u5024\u3067\u3042\u308c\u3070\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3067\u3057\u3087\u3046\u304b\u3002\\(A=4a\\)\u3067\u3042\u308b\u3068\u3001\\(a^2\u00d7-4a=-4a^3\\)\u3068\u306a\u308b\u305f\u3081\u3001\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3088\u3046\u306a\u6c17\u304c\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((x^2-2ax+a^2)(x-4a)=0\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\\((x^2-2ax+a^2)(x-4a)=0\\)<\/p>\n<p>\\((x-a)^2(x-4a)=0\\)<\/p>\n<p>\u3064\u307e\u308a\\(x=a,4a\\)\u306e\u3068\u304d\u3001\\(f(x)=4a^3\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ugf6.jpg\" alt=\"\" width=\"467\" height=\"331\" class=\"aligncenter size-full wp-image-5220\" \/><\/p>\n<p>\\(x=4a\\)\u306b\u5bfe\u3057\u3066\u3001\\(x\\)\u306e\u5024\u304c\u5927\u304d\u3044\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u5c0f\u3055\u3044\u306e\u304b\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5834\u5408\u5206\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u30fb\\(1\u22664a\\)\u304b\u3064\\(a\u22661\\)\u3001\u3064\u307e\u308a\\(\\displaystyle\\frac{1}{4}\u2266a\u22661\\)\u306e\u5834\u5408<\/strong><\/p>\n<p>\\(\\displaystyle\\frac{1}{4}\u2266a\u22661\\)\u306e\u3068\u304d\u3001\\(0\u2266x\u22661\\)\u3067\u3042\u308b\u305f\u3081\u3001\u6975\u5927\u5024\\(f(a)\\)\u3067\u6700\u5927\u5024\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6700\u5927\u5024\u306f\\(f(a)=4a^3\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ugf8.jpg\" alt=\"\" width=\"467\" height=\"331\" class=\"aligncenter size-full wp-image-5222\" \/><\/p>\n<p><strong>\u30fb\\(4a&lt;1\\)\u3001\u3064\u307e\u308a\\(0&lt;a&lt;\\displaystyle\\frac{1}{4}\\)\u306e\u3068\u304d<\/strong><\/p>\n<p>\\(0&lt;a&lt;\\displaystyle\\frac{1}{4}\\)\u306e\u3068\u304d\u3001\u6975\u5927\u5024\u306f\\(f(1)\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6700\u5927\u5024\u306f\\(f(1)=1-6a+9a^2\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ugf9.jpg\" alt=\"\" width=\"488\" height=\"328\" class=\"aligncenter size-full wp-image-5223\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4ee5\u4e0b\u304c\u7b54\u3048\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(0&lt;a&lt;\\displaystyle\\frac{1}{4}\\)\u3001\\(1&lt;a\\)\u306e\u5834\u5408\uff1a\u6700\u5927\u5024\u306f\\(1-6a+9a^2\\)<\/li>\n<li>\\(\\displaystyle\\frac{1}{4}\u2266a\u22661\\)\u306e\u5834\u5408\uff1a\u6700\u5927\u5024\u306f\\(4a^3\\)<\/li>\n<\/ul>\n<p>\u6975\u5024\u304c\u52d5\u304f\u3068\u304d\u3001\u5834\u5408\u5206\u3051\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u4e09\u89d2\u95a2\u6570\u3092\u542b\u3080\u5834\u5408\u3001\u6587\u5b57\u3092\u7f6e\u304d\u63db\u3048\u3059\u308b<\/h2>\n<p>\u306a\u304a\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u4e09\u89d2\u95a2\u6570\u3092\u542b\u3080\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u306f\u7f6e\u304d\u63db\u3048\u3092\u5229\u7528\u3057\u3066\u4e09\u89d2\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u7b54\u3048\u306f\u4f55\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=sin3x+4cos2x+8sinx\\)\u306b\u3064\u3044\u3066\u3001\\(0\u2266x\u2266\u03c0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u30013\u500d\u89d2\u306e\u516c\u5f0f\u30682\u500d\u89d2\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(sin3x=3sinx-4sin^3x\\)<\/p>\n<p>\\(cos2x=1-2sin^2x\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y=sin3x+4cos2x+8sinx\\)<\/p>\n<p>\\(y=3sinx-4sin^3x\\)\\(+4(1-2sin^2x)\\)\\(+8sinx\\)<\/p>\n<p>\\(y=-4sin^3x\\)\\(-8sin^2x+11sinx+4\\)<\/p>\n<p>\u6b21\u306b\u3001\\(sinx=t\\)\u306b\u7f6e\u304d\u63db\u3048\u307e\u3057\u3087\u3046\u3002\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3053\u308c\u307e\u3067\u6d3b\u7528\u3057\u3066\u304d\u305f\u5fae\u5206\u3092\u884c\u3044\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y=-4t^3-8t^2+11t+4\\)<\/p>\n<p>\u4e09\u6b21\u95a2\u6570\u3067\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u5f97\u308b\u305f\u3081\u306b\u306f\u3001\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6975\u5927\u5024\u3084\u6975\u5c0f\u5024\u3001\u5de6\u7aef\u3001\u53f3\u7aef\u306e\u5024\u3092\u51fa\u305b\u3070\u3044\u3044\u3067\u3059\u3002\u5fae\u5206\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y=-12t^2-16t+11\\)<\/p>\n<p>\\(y=-(12t^2+16t-11)\\)<\/p>\n<p>\\(y=-(2t-1)(6t+11)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(t=-\\displaystyle\\frac{11}{6}\\)\u306e\u3068\u304d\u306b\u6975\u5c0f\u5024\u3001\\(t=\\displaystyle\\frac{1}{2}\\)\u306e\u3068\u304d\u306b\u6975\u5927\u5024\u3092\u53d6\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\\(0\u2266x\u2266\u03c0\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(0\u2266sinx\u22661\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001\\(0\u2266t\u22661\\)\u3067\u3059\u3002\u305d\u3053\u3067\\(f(t)=-4t^3-8t^2+11t+4\\)\u306b\u3064\u3044\u3066\u3001\u5de6\u7aef\\(f(0)\\)\u3068\u6975\u5927\u5024\\(f\\left(\\displaystyle\\frac{1}{2}\\right)\\)\u3001\u53f3\u7aef\\(f(1)\\)\u306e\u5024\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(0)=4\\)<\/p>\n<p>\\(f\\left(\\displaystyle\\frac{1}{2}\\right)=-4\u00d7\\displaystyle\\frac{1}{8}\\)\\(-8\u00d7\\displaystyle\\frac{1}{4}\\)\\(+11\u00d7\\displaystyle\\frac{1}{2}\\)\\(+4\\)\\(=7\\)<\/p>\n<p>\\(f(1)=-4-8+11+4=3\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/irkg1.jpg\" alt=\"\" width=\"400\" height=\"144\" class=\"aligncenter size-full wp-image-5284\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\\(t=\\displaystyle\\frac{1}{2}\\)\u3001\u3064\u307e\u308a\\(x=\\displaystyle\\frac{1}{6}\u03c0,\\displaystyle\\frac{5}{6}\u03c0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u50247\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(t=1\\)\u3001\u3064\u307e\u308a\\(x=\\displaystyle\\frac{1}{2}\u03c0\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u50243\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5909\u57df\u306b\u6ce8\u610f\u3057\u3001\u6307\u6570\u95a2\u6570\u3067\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u3092\u3059\u308b<\/h3>\n<p>\u306a\u304a\u4e09\u89d2\u95a2\u6570\u3060\u3051\u3067\u306a\u304f\u3001\u6307\u6570\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u8907\u96d1\u306a\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u306f\u975e\u5e38\u306b\u6709\u52b9\u306a\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=8^x-6\u00d74^x+9\u00d72^x+1\\)\u306b\u3064\u3044\u3066\u3001\\(x\u22662\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u554f\u984c\u306e\u89e3\u304d\u65b9\u306f\u5148\u307b\u3069\u3068\u540c\u3058\u3067\u3042\u308a\u3001\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\\(2^x=t\\)\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y=8^x-6\u00d74^x+9\u00d72^x+1\\)<\/p>\n<p>\\(y=2^{3x}-6\u00d72^{2x}+9\u00d72^x+1\\)<\/p>\n<p>\\(y=t^3-6t^2+9t+1\\)<\/p>\n<p>\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b\u305f\u3081\u3001\u5fae\u5206\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y&#8217;=3t^2-12t+9\\)<\/p>\n<p>\\(y&#8217;=3(t^2-4t+3)\\)<\/p>\n<p>\\(y&#8217;=3(t-1)(t-3)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(t=1\\)\u306e\u3068\u304d\u6975\u5927\u5024\u3068\u306a\u308a\u3001\\(t=3\\)\u306e\u3068\u304d\u6975\u5c0f\u5024\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u307e\u305f\\(x\u22662\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(0&lt;2^x\u22664\\)\u3067\u3059\u3002\u3064\u307e\u308a\\(0&lt;t\u22664\\)\u3067\u3059\u3002\u305d\u3053\u3067\\(f(t)=t^3-6t^2+9t+1\\)\u306b\u3064\u3044\u3066\u6975\u5927\u5024\u3084\u6975\u5c0f\u5024\u3001\u5de6\u7aef\u3001\u53f3\u7aef\u306e\u5024\u3092\u8abf\u3079\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(f(0)=1\\)<\/p>\n<p>\\(f(1)=1-6+9+1=5\\)<\/p>\n<p>\\(f(3)=27-54+27+1=1\\)<\/p>\n<p>\\(f(4)=64-96+36+1=5\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/irkg2.jpg\" alt=\"\" width=\"450\" height=\"422\" class=\"aligncenter size-full wp-image-5285\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\\(t=1\\)\u307e\u305f\u306f\\(t=4\\)\u306e\u3068\u304d\u3001\u3064\u307e\u308a\\(x=0\\)\u307e\u305f\u306f\\(x=2\\)\u306e\u3068\u304d\u3001\u6700\u5927\u50245\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(0&lt;t\u22664\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(t=3\\)\u306e\u3068\u304d\u3001\u3064\u307e\u308a\\(x=log_23\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u50241\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5bfe\u6570\u95a2\u6570\u3067\u306f\\(x\\)\u306e\u7bc4\u56f2\u3092\u6c42\u3081\u3001\u95a2\u6570\u3092\u4f5c\u308b<\/h3>\n<p>\u6b21\u306b\u5bfe\u6570\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u5bfe\u6570\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u3001\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u306b\u3088\u3063\u3066\u554f\u984c\u3092\u89e3\u3051\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u4e09\u6b21\u95a2\u6570\u304c\u95a2\u308f\u308b\u5bfe\u6570\u95a2\u6570\u306b\u3064\u3044\u3066\u306f\u3001\u6700\u521d\u306b\\(x\\)\u306e\u7bc4\u56f2\u3092\u51fa\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u5f8c\u3001\u4e09\u6b21\u95a2\u6570\u306e\u5f62\u306b\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=log_3x+2log_3(6-x)\\)\u306b\u3064\u3044\u3066\u3001\u6700\u5927\u5024\u3068\u305d\u306e\u3068\u304d\u306e\\(x\\)\u306e\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u771f\u6570\u6761\u4ef6\u3088\u308a\\(x&gt;0\\)\u3067\u3059\u3002\u307e\u305f\u771f\u6570\u6761\u4ef6\u3088\u308a\\(6-x&gt;0\\)\u3001\u3064\u307e\u308a\\(x&lt;6\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(x\\)\u306e\u7bc4\u56f2\u306f\\(0&lt;x&lt;6\\)\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u305f\u3081\u3001\u5bfe\u6570\u306e\u4e2d\u306b\u4e09\u6b21\u95a2\u6570\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y=log_3x+2log_3(6-x)\\)<\/p>\n<p>\\(y=log_3x+log_3(6-x)^2\\)<\/p>\n<p>\\(y=log_3x(x^2-12x+36)\\)<\/p>\n<p>\\(y=log_3(x^3-12x^2+36x)\\)<\/p>\n<p>\u4eee\u306b\\(y=log_3f(x)\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(log_3f(x)=log_3(x^3-12x^2+36x)\\)<\/p>\n<p>\u5e95\u306f3\u3067\u3042\u308b\u305f\u3081\u3001\\(f(x)\\)\u306e\u5024\u304c\u5927\u304d\u304f\u306a\u308b\u3068\\(y\\)\u306e\u5024\u3082\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\\(f(x)\\)\u306e\u5024\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u3092\u78ba\u8a8d\u3057\u3001\u6700\u5927\u5024\u3092\u6c42\u3081\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(x)=x^3-12x^2+36x\\)\u3067\u3042\u308b\u305f\u3081\u3001\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f'(x)=3x^2-24x+36\\)<\/p>\n<p>\\(f'(x)=3(x^2-8x+12)\\)<\/p>\n<p>\\(f'(x)=3(x-2)(x-6)\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\\(x=2\\)\u306e\u3068\u304d\u6975\u5927\u5024\u3068\u306a\u308a\u3001\\(x=6\\)\u306e\u3068\u304d\u6975\u5c0f\u5024\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(0&lt;x&lt;6\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(x=2\\)\u306e\u3068\u304d\u306b\u6700\u5927\u5024\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/rgwrwt7.jpg\" alt=\"\" width=\"400\" height=\"441\" class=\"aligncenter size-full wp-image-5226\" \/><\/p>\n<p>\u306a\u304a\\(f(2)=8-48+72=32\\)\u3067\u3042\u308a\u3001\\(y=log_332\\)\u306e\u3068\u304d\u306b\u6700\u5927\u5024\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\\(y=log_332\\)<\/p>\n<p>\\(y=log_32^5\\)<\/p>\n<p>\\(y=5log_32\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(x=2\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\u306f\\(5log_32\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5bfe\u6570\u95a2\u6570\u306e\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u306e\u554f\u984c\u3092\u89e3\u304f\u3068\u304d\u3001\\(x\\)\u306e\u7bc4\u56f2\u3092\u8abf\u3079\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u5f8c\u3001\u4e09\u6b21\u95a2\u6570\u3092\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u3092\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5fae\u5206\u3092\u5229\u7528\u3057\u3066\u6700\u5927\u5024\u3068\u6700\u9577\u5024\u3092\u898b\u3064\u3051\u308b<\/h2>\n<p>\u4e8c\u6b21\u95a2\u6570\u3067\u3042\u308c\u3070\u3001\u5fae\u5206\u3092\u5229\u7528\u3057\u306a\u304f\u3066\u3082\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3067\u4e09\u6b21\u95a2\u6570\u306e\u5834\u5408\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6975\u5024\u3092\u898b\u3064\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u306e\u5f8c\u3001\u6975\u5927\u5024\u3084\u6975\u5c0f\u5024\u3001\u5de6\u7aef\u3001\u53f3\u7aef\u306e\u5024\u3092\u6bd4\u3079\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3069\u3053\u304c\u6700\u5927\u5024\u3084\u6700\u5c0f\u5024\u306b\u306a\u308b\u306e\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u4e09\u89d2\u95a2\u6570\u3084\u6307\u6570\u95a2\u6570\u3001\u5bfe\u6570\u95a2\u6570\u3067\u306f\u554f\u984c\u306e\u89e3\u304d\u65b9\u304c\u8907\u96d1\u306b\u306a\u308a\u307e\u3059\u3002\u6587\u5b57\u306e\u7f6e\u304d\u63db\u3048\u3092\u3057\u305f\u308a\u3001\u771f\u6570\u6761\u4ef6\u3092\u5229\u7528\u3057\u305f\u308a\u3057\u3066\u3001\u4e09\u6b21\u95a2\u6570\u306e\u5fae\u5206\u3092\u3059\u308b\u306e\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u3063\u3066\\(x\\)\u306e\u7bc4\u56f2\u3084\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b\u554f\u984c\u3067\u306f\u3001\u5fae\u5206\u3092\u5229\u7528\u3059\u308b\u3068\u4fbf\u5229\u3067\u3059\u3002\u6975\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u304c\u3069\u3053\u306a\u306e\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5fae\u5206\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u65b0\u305f\u306a\u95a2\u6570\uff08\u5c0e\u95a2\u6570\uff09\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5c0e\u95a2\u6570\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u6975\u5927\u3084\u6975\u5c0f\u3068\u306a\u308b\u5834\u6240\u304c\u308f\u304b\u308c\u3070\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5211,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-5210","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/5210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=5210"}],"version-history":[{"count":15,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/5210\/revisions"}],"predecessor-version":[{"id":11546,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/5210\/revisions\/11546"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/5211"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=5210"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=5210"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=5210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}