{"id":5196,"date":"2022-03-07T18:53:10","date_gmt":"2022-03-07T09:53:10","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=5196"},"modified":"2022-07-20T12:46:21","modified_gmt":"2022-07-20T03:46:21","slug":"differential-4","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/differential-4.html","title":{"rendered":"\u4e09\u6b21\u95a2\u6570\u306e\u5897\u6e1b\u3068\u6975\u5927\u30fb\u6975\u5c0f\u3092\u898b\u5206\u3051\u308b\u5fae\u5206\u306e\u6d3b\u7528\u6cd5"},"content":{"rendered":"\n<p>\u4e8c\u6b21\u95a2\u6570\u3067\u306f\u4e0b\u306b\u51f8\u3001\u307e\u305f\u306f\u4e0a\u306b\u51f8\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002\u4e09\u6b21\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u3001\u30c7\u30b3\u30dc\u30b3\u306e\u30b0\u30e9\u30d5\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4e09\u6b21\u95a2\u6570\u3067\\(y\\)\u306e\u5024\u304c\u3069\u306e\u3088\u3046\u306b\u5897\u6e1b\u3059\u308b\u306e\u304b\u8abf\u3079\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u308c\u306b\u306f\u5fae\u5206\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u307e\u305f\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6975\u5927\u3068\u6975\u5c0f\u306e\u90e8\u5206\u3067\u306f\u3001\u30b0\u30e9\u30d5\u306e\u50be\u304d\u306f\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5fae\u5206\u306b\u3088\u3063\u3066\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\u3092\u8abf\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u5fae\u5206\u306b\u3088\u3063\u3066\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\u3092\u3069\u306e\u3088\u3046\u306b\u77e5\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u3001\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5fae\u5206\u306b\u3088\u3063\u3066\u4e09\u6b21\u95a2\u6570\u306e\u5897\u6e1b\u3068\u6975\u5927\u30fb\u6975\u5c0f\u3092\u8abf\u3079\u308b<\/h2>\n<p>\u50be\u304d\u3092\u77e5\u308b\u305f\u3081\u306b\u65b0\u305f\u306a\u95a2\u6570\u3092\u5f97\u308b\u65b9\u6cd5\u304c\u5fae\u5206\u3067\u3059\u3002\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u50be\u304d\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u95a2\u6570\\(f'(x)\\)\u3092\u5f97\u305f\u5f8c\u3001\\(f'(x)\\)\u306b\u5024\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u50be\u304d\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3001\\(f'(x)\\)\u306e\u5024\uff08\u50be\u304d\uff09\u304c\u30d7\u30e9\u30b9\u3001\u30bc\u30ed\u3001\u30de\u30a4\u30ca\u30b9\u306e\u5834\u5408\u3001\u5143\u306e\u95a2\u6570\u3067\u3042\u308b\\(f(x)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(f'(x)\\)\u306e\u5024\u304c\u30d7\u30e9\u30b9\uff1a\\(f(x)\\)\u306f\u5897\u52a0<\/li>\n<li>\\(f'(x)\\)\u306e\u5024\u304c\u30bc\u30ed\uff1a\\(f(x)\\)\u306e\u5897\u52a0\u306f\u30bc\u30ed<\/li>\n<li>\\(f'(x)\\)\u306e\u5024\u304c\u30de\u30a4\u30ca\u30b9\uff1a\\(f(x)\\)\u306f\u6e1b\u5c11<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ure5.jpg\" alt=\"\" width=\"500\" height=\"274\" class=\"aligncenter size-full wp-image-5199\" \/><\/p>\n<p>\u50be\u304d\u304c\u30d7\u30e9\u30b9\u3067\u3042\u308c\u3070\u3001\\(f(x)\\)\u304c\u5897\u52a0\u3059\u308b\u306e\u306f\u5f53\u7136\u3067\u3059\u3002\u307e\u305f\u50be\u304d\u304c\u30de\u30a4\u30ca\u30b9\u3067\u3042\u308c\u3070\u3001\u5f53\u7136\u306a\u304c\u3089\\(f(x)\\)\u306f\u6e1b\u5c11\u3057\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3068\u304d\u3001\u91cd\u8981\u306a\u5834\u6240\u304c\\(f'(x)=0\\)\u306b\u306a\u308b\u90e8\u5206\u3067\u3059\u3002\\(f'(x)=0\\)\u306e\u5834\u5408\u3001\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002\u50be\u304d\u304c\u30d7\u30e9\u30b9\u304b\u3089\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u5834\u5408\u3001\u305d\u306e\u90e8\u5206\u3092<span style=\"color: #ff0000;\">\u6975\u5927<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u307e\u305f\u50be\u304d\u304c\u30de\u30a4\u30ca\u30b9\u304b\u3089\u30d7\u30e9\u30b9\u306b\u5909\u308f\u308b\u5834\u5408\u3001\u305d\u306e\u90e8\u5206\u3092<span style=\"color: #ff0000;\">\u6975\u5c0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf3.jpg\" alt=\"\" width=\"600\" height=\"273\" class=\"aligncenter size-full wp-image-5200\" \/><\/p>\n<p>\u3044\u305a\u308c\u306b\u3057\u3066\u3082\u4e09\u6b21\u95a2\u6570\u3067\u5897\u6e1b\u3092\u8abf\u3079\u308b\u3068\u304d\u3001\\(f'(x)=0\\)\u306b\u7740\u76ee\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u898b\u3064\u3051\u3066\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/h3>\n<p>\\(f'(x)=0\\)\u3067\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308a\u3001\u30b0\u30e9\u30d5\u306e\u6975\u5927\u307e\u305f\u306f\u6975\u5c0f\u304c\u8868\u308c\u308b\u3053\u3068\u3092\u7406\u89e3\u3059\u308c\u3070\u3001\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u3069\u306e\u3088\u3046\u306a\u5f62\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(f(x)=x^3-\\displaystyle\\frac{9}{2}x^2+6x\\)<\/li>\n<\/ul>\n<p>\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u5fae\u5206\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u5fae\u5206\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(f'(x)=3x^2-9x+6\\)<\/li>\n<\/ul>\n<p>\u6b21\u306b\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\\(f'(x)=0\\)\u3068\u306a\u308b\u90e8\u5206\u3092\u63a2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(f'(x)=3x^2-9x+6\\)<\/p>\n<p>\\(f'(x)=3(x^2-3x+2)\\)<\/p>\n<p>\\(f'(x)=3(x-1)(x-2)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(x=1\\)\u307e\u305f\u306f\\(x=2\\)\u306e\u3068\u304d\u3001\u4e09\u6b21\u95a2\u6570\u306e\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u6b21\u306b\u3001\u6975\u5927\u5024\\(f(1)\\)\u3068\u6975\u5c0f\u5024\\(f(2)\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(1)=\\displaystyle\\frac{5}{2}\\)<\/p>\n<p>\\(f(2)=8-18+12=2\\)<\/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\/gjrf4.jpg\" alt=\"\" width=\"500\" height=\"426\" class=\"aligncenter size-full wp-image-5201\" \/><\/p>\n<p>\\(f(x)=x^3-\\displaystyle\\frac{9}{2}x^2+6x\\)\u306e\u30b0\u30e9\u30d5\u306f\u539f\u70b9\u3092\u901a\u308a\u307e\u3059\u3002\u305d\u3053\u3067<span style=\"color: #0000ff;\">\u539f\u70b9\u3092\u901a\u308a\u3001\\((1,\\displaystyle\\frac{5}{2})\\)\u304c\u6975\u5927\u5024\u3068\u306a\u308a\u3001\\((2,2)\\)\u304c\u6975\u5c0f\u5024\u3068\u306a\u308b\u30b0\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002<\/span>\u305d\u3046\u3059\u308b\u3068\u3001\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u6975\u5024\u3092\u3082\u305f\u306a\u3044\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62<\/h3>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u6975\u5024\u3092\u3082\u305f\u306a\u3044\u4e09\u6b21\u95a2\u6570\u3082\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\u306f\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(f(x)=-\\displaystyle\\frac{1}{3}x^3+3x^2-9x+10\\)<\/li>\n<\/ul>\n<p>\u307e\u305a\u306f\u5fae\u5206\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(f'(x)=-x^2+6x-9\\)<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\\(f'(x)=0\\)\u306b\u306a\u308b\u90e8\u5206\u3092\u8abf\u3079\u308b\u305f\u3081\u306b\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(f'(x)=-x^2+6x-9\\)<\/p>\n<p>\\(f'(x)=-(x^2-6x+9)\\)<\/p>\n<p>\\(f'(x)=-(x-3)^2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(x=3\\)\u306e\u3068\u304d\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305f\u3060\\(f'(x)=0\\)\u3068\u306a\u308b\u90e8\u5206\u304c\u4e00\u30f5\u6240\u306e\u307f\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u306e\u4e09\u6b21\u95a2\u6570\u306f\u6975\u5024\u3092\u3082\u3061\u307e\u305b\u3093\u3002<\/p>\n<p>\u306a\u304a\u3001\\(f(3)\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(3)=-9+27-27+10=1\\)<\/p>\n<p>\u307e\u305f\\(x=3\\)\u4ee5\u5916\u3001\\(f'(x)&lt;0\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u30b0\u30e9\u30d5\u306e\u5f62\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf5.jpg\" alt=\"\" width=\"300\" height=\"329\" class=\"aligncenter size-full wp-image-5202\" \/><\/p>\n<p>\u4e09\u6b21\u95a2\u6570\u306b\u3088\u3063\u3066\u306f\u3001\u3053\u306e\u3088\u3046\u306b<span style=\"color: #0000ff;\">\u6975\u5024\u304c\u306a\u3044\u30b1\u30fc\u30b9\u304c\u3042\u308b\u3053\u3068\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p>\u53c2\u8003\u307e\u3067\u306b\u3001\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3051\u308b\u3088\u3046\u306b\u306a\u308c\u3070\u3001\u56db\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u5024\u3092\u51fa\u3057\u3001\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u306e\u3067\u3059\u3002\u4e09\u6b21\u95a2\u6570\u3067\u3082\u56db\u6b21\u95a2\u6570\u3067\u3082\u3001\u30b0\u30e9\u30d5\u306e\u63cf\u304d\u65b9\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n<h2>\u4e09\u6b21\u95a2\u6570\u3067\u306e\u30b0\u30e9\u30d5\u306e\u5bfe\u79f0\u6027<\/h2>\n<p>\u306a\u304a\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306b\u306f\u5bfe\u79f0\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a<span style=\"color: #ff0000;\">\u70b9\u5bfe\u79f0\u3068\u306a\u308b\u5834\u6240\u304c\u3042\u308b<\/span>\u306e\u3067\u3059\u3002\u3053\u306e\u4e8b\u5b9f\u3092\u78ba\u304b\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(f(x)=x^3-6x^2+9x+2\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u95a2\u6570\u3092\u5fae\u5206\u3059\u308b\u3068\u3001\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>\u6b21\u306b\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u8abf\u3079\u308b\u305f\u3081\u3001\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(f'(x)=3x^2-12x+9\\)<\/p>\n<p>\\(f'(x)=3(x^2-4x+3)\\)<\/p>\n<p>\\(f'(x)=3(x-1)(x-3)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(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\u3001\\(f(1)\\)\u3068\\(f(3)\\)\u306e\u5024\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(1)=1-6+9+2=6\\)<\/p>\n<p>\\(f(3)=27-54+27+2=2\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf7.jpg\" alt=\"\" width=\"499\" height=\"131\" class=\"aligncenter size-full wp-image-5203\" \/><\/p>\n<p>\u4e09\u6b21\u95a2\u6570\u306b\u5bfe\u79f0\u6027\u304c\u3042\u308b\u5834\u5408\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u4e2d\u70b9\u306f\u4e09\u6b21\u95a2\u6570\u4e0a\u306b\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u4e2d\u70b9\u3092\u8abf\u3079\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6975\u5927\u5024\u306e\u5ea7\u6a19\u306f\\((1,6)\\)\u3067\u3042\u308a\u3001\u6975\u5c0f\u5024\u306e\u5ea7\u6a19\u306f\\((3,2)\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u4e2d\u70b9\u3092M\u3068\u3059\u308b\u3068\u3001M\u306e\u5ea7\u6a19\u306f\\((2,4)\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf9.jpg\" alt=\"\" width=\"300\" height=\"175\" class=\"aligncenter size-full wp-image-5204\" \/><\/p>\n<p>\u6b21\u306b\u3001\u4e09\u6b21\u95a2\u6570\\(y=f(x)\\)\u306fM\u306b\u5bfe\u3057\u3066\u70b9\u5bfe\u79f0\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=f(x)\\)\u4e0a\u306b\u3042\u308b\u5ea7\u6a19\u306f\\((x,y)\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u5ea7\u6a19M\\((2,4)\\)\u306b\u3064\u3044\u3066\u3001\u5ea7\u6a19\\((x,y)\\)\u3068\u5bfe\u79f0\u306a\u70b9\u306e\u5ea7\u6a19\u3092\\((A,B)\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{x+A}{2}=2\\)<\/li>\n<li>\\(\\displaystyle\\frac{y+B}{2}=4\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf10.jpg\" alt=\"\" width=\"400\" height=\"187\" class=\"aligncenter size-full wp-image-5205\" \/><\/p>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x=4-A\\)<\/li>\n<li>\\(y=8-B\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\\(y=x^3-6x^2+9x+2\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(8-B=(4-A)^3-6(4-A)^2\\)\\(+9(4-A)\\)\\(+2\\)<\/p>\n<p>\\(8-B=(64-48A+12A^2-A^3)\\)\\(-6(16-8A\\)\\(+A^2)\\)\\(-9A+38\\)<\/p>\n<p>\\(8-B=-A^3+12A^2-57A+102\\)\\(+(-96+48A-6A^2)\\)<\/p>\n<p>\\(8-B=-A^3+6A^2-9A+6\\)<\/p>\n<p>\\(B=A^3-6A^2+9A+2\\)<\/p>\n<p>\\(f(x)=x^3-6x^2+9x+2\\)\u306b\u3064\u3044\u3066\u3001\\(f(A)=B\\)\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001<span style=\"color: #0000ff;\">\u70b9\\((A,B)\\)\u306f\\(f(x)\\)\u4e0a\u306b\u3042\u308a\u307e\u3059\u3002<\/span>\u305d\u306e\u305f\u3081\u3001\u66f2\u7dda\\(y=f(x)\\)\u306f\u70b9M\u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u3067\u3042\u308a\u3001\u4e09\u6b21\u95a2\u6570\u306f\u70b9\u5bfe\u79f0\u3068\u306a\u308b\u30dd\u30a4\u30f3\u30c8\u304c\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u6570\u5b66\u306e\u554f\u984c\u3067\u4e09\u6b21\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u554f\u308f\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u306f\u4e2d\u70b9\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u3001\u4e09\u6b21\u95a2\u6570\u304c\u70b9\u5bfe\u79f0\u306e\u6027\u8cea\u3092\u3082\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u4e09\u6b21\u95a2\u6570\u304c\u6975\u5024\u3092\u3082\u3064\u6761\u4ef6\uff1a\u5224\u5225\u5f0f\u306e\u5229\u7528<\/h2>\n<p>\u305f\u3060\u3059\u3079\u3066\u306e\u4e09\u6b21\u95a2\u6570\u304c\u6975\u5024\u3092\u3082\u3064\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e09\u6b21\u95a2\u6570\u306b\u3088\u3063\u3066\u306f\u3001\u6975\u5927\u5024\u3084\u6975\u5c0f\u5024\u3092\u3082\u305f\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u4e09\u6b21\u95a2\u6570\u304c\u6975\u5024\u3092\u3082\u3064\u304b\u3069\u3046\u304b\u3092\u898b\u5206\u3051\u308b\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u4e09\u6b21\u95a2\u6570\u3092\u5fae\u5206\u3059\u308b\u3068\u3001\u4e8c\u6b21\u95a2\u6570\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u307e\u305f\\(f'(x)\\)\u306e\u4e8c\u6b21\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\\(f'(x)=0\\)\u306e\u89e3\u304c2\u3064\u3042\u308b\u5834\u5408\u3001\u4e09\u6b21\u95a2\u6570\u306e\u5897\u6e1b\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u3082\u3064\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\\(f'(x)=0\\)\u306e\u89e3\u304c1\u3064\u306e\u5834\u5408\u3001\u50be\u304d\u304c0\u306b\u306a\u308b\u90e8\u5206\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u6975\u5927\u5024\u3084\u6975\u5c0f\u5024\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u6975\u5024\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\\(f'(x)=0\\)\u3068\u306a\u308b\u89e3\u304c\u4e00\u3064\u3082\u306a\u3044\u5834\u5408\uff08\u865a\u6570\u89e3\uff09\u3067\u306f\u3001\u50be\u304d\u304c0\u306b\u306a\u308b\u90e8\u5206\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u30b0\u30e9\u30d5\u306f\u5e38\u306b\u5897\u52a0\u307e\u305f\u306f\u6e1b\u5c11\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u306a\u308a\u3001\u4e09\u6b21\u95a2\u6570\u306f\u6975\u5024\u3092\u3082\u3061\u307e\u305b\u3093\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf12.jpg\" alt=\"\" width=\"600\" height=\"259\" class=\"aligncenter size-full wp-image-5206\" \/><\/p>\n<p>\u3064\u307e\u308a<span style=\"color: #0000ff;\">\u5224\u5225\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u4e09\u6b21\u95a2\u6570\u306e\u5f62\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/span>\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+ax^2+ax+1\\)\u304c\u6975\u5024\u3092\u3082\u3064\\(a\\)\u306e\u5024\u306e\u7bc4\u56f2\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u6975\u5024\u3092\u3082\u3064\u304b\u3069\u3046\u304b\u306f\u3001\u5fae\u5206\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u95a2\u6570\u306b\u3064\u3066\u3001\u5224\u5225\u5f0f\u3092\u5229\u7528\u3057\u3066\u5224\u65ad\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u307e\u305a\u306f\u5fae\u5206\u3057\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+2ax+a\\)<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\u5224\u5225\u5f0f\uff08\\(D\\)\uff09\u3092\u5229\u7528\u3057\u3066\u89e3\u30922\u3064\u3082\u3064\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(D=b^2-4ac\\)<\/p>\n<p>\u4ee3\u5165\u3059\u308b\u3068\u3001<\/p>\n<p>\\((2a)^2-4\u00d73\u00d7a\\)<\/p>\n<p>\\(4a^2-12a\\)<\/p>\n<p>\u3064\u307e\u308a\u3001\\(4a^2-12a&gt;0\\)\u306b\u306a\u308c\u30702\u3064\u306e\u89e3\u3092\u3082\u3064\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(4a^2-12a&gt;0\\)<\/p>\n<p>\\(4a(a-3)&gt;0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u7b54\u3048\u306f\\(a&lt;0,3&lt;a\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\\(a&lt;0,3&lt;a\\)\u306e\u5834\u5408\u3001\u5224\u5225\u5f0f\uff08\\(D\\)\uff09\u306f\u6b63\u306e\u5024\u306b\u306a\u308b\u305f\u3081\u3001\u50be\u304d\u304c\u30bc\u30ed\u306b\u306a\u308b\u90e8\u5206\u304c2\u30ab\u6240\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e09\u6b21\u95a2\u6570\u306f\u6975\u5024\u3092\u3082\u3064\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u4e09\u6b21\u95a2\u6570\u306e\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u548c\u307e\u305f\u306f\u5dee\u3067\u306f\u3001\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3059\u308b<\/h3>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u4e09\u6b21\u95a2\u6570\u306e\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306b\u3064\u3044\u3066\u3001\u548c\u307e\u305f\u306f\u5dee\u3092\u6c42\u3081\u308b\u554f\u984c\u304c\u51fa\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u5ea7\u6a19\u306b\u3064\u3044\u3066\u3001\u8db3\u3057\u305f\u308a\u5f15\u3044\u305f\u308a\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u5024\u3092\u8a08\u7b97\u3059\u308b\u306e\u306f\u9762\u5012\u3067\u3059\u3002\u305d\u3053\u3067<span style=\"color: #0000ff;\">\u300c\u4e09\u6b21\u95a2\u6570\u306e\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u5229\u7528\u3057\u3001\u8db3\u3057\u7b97\u3084\u5f15\u304d\u7b97\u3092\u3059\u308b\u554f\u984c\u300d\u3067\u306f\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u304a\u3055\u3089\u3044\u3059\u308b\u3068\u3001\u4e8c\u6b21\u95a2\u6570\u306e\u7b54\u3048\u304c\u03b1\u3068\u03b2\u306e\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/gjrf13.jpg\" alt=\"\" width=\"600\" height=\"108\" class=\"aligncenter size-full wp-image-5207\" \/><\/p>\n<p>\u3053\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\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>\\(f(x)=x^3+ax^2+ax+1\\)\u304c\\(x=\u03b1,\u03b2\\)\\((\u03b1&lt;\u03b2)\\)\u3067\u6975\u5024\u3092\u3082\u3064\u3068\u304d\u3001\\(f(\u03b1)+f(\u03b2)=2\\)\u3068\u306a\u308b\\(a\\)\u306e\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u6975\u5024\u3092\u3082\u3064\u304b\u3069\u3046\u304b\u3092\u78ba\u304b\u3081\u308b\u3068\u304d\u3001\u5fae\u5206\u3057\u305f\u5f8c\u306b\u5f97\u3089\u308c\u308b\u95a2\u6570\u3092\u78ba\u8a8d\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\\(f(x)\\)\u3092\u5fae\u5206\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(f'(x)=3x^2+2ax+a\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\u3053\u306e\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\\(a&lt;0,3&lt;a\\)\u306e\u3068\u304d\u306b\u5224\u5225\u5f0f\uff08\\(D\\)\uff09\u304c\u6b63\u306e\u5024\u306b\u306a\u308b\u3068\u5148\u307b\u3069\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002\u3064\u307e\u308a\u3001\u6975\u5024\u3092\u3082\u3064\u305f\u3081\u306b\u306f\\(a&lt;0,3&lt;a\\)\u3067\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u6b21\u306b\u3001\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\\(f'(x)=3x^2+2ax+a\\)\u306b\u3064\u3044\u3066\u30012\u3064\u306e\u7b54\u3048\u3092\\(\u03b1,\u03b2\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u95a2\u4fc2\u6027\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\u03b1+\u03b2=-\\displaystyle\\frac{2}{3}a\\)<\/li>\n<li>\\(\u03b1\u03b2=\\displaystyle\\frac{1}{3}a\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u5b9f\u969b\u306b\\(f(\u03b1)+f(\u03b2)\\)\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\\(f(x)=x^3+ax^2+ax+1\\)\u306b\u5bfe\u3057\u3066\u3001\\(x\\)\u306b\u03b1\u3068\u03b2\u3092\u4ee3\u5165\u3057\u3001\u8db3\u3057\u7b97\u3092\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\\(f(\u03b1)+f(\u03b2)\\)<\/p>\n<p>\\(=\u03b1^3+a\u03b1^2+a\u03b1+1\\)\\(+\u03b2^3+a\u03b2^2\\)\\(+a\u03b2+1\\)<\/p>\n<p>\\(=\u03b1^3+\u03b2^3+a(\u03b1^2+\u03b2^2)\\)\\(+a(\u03b1+\u03b2)\\)\\(+2\\)<\/p>\n<p>\u56e0\u6570\u5206\u89e3\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((\u03b1+\u03b2)^3\\)\\(-3\u03b1\u03b2(\u03b1+\u03b2)\\)\\(+a(\u03b1+\u03b2)^2\\)\\(-2a\u03b1\u03b2\\)\\(+a(\u03b1+\u03b2)\\)\\(+2\\)<\/p>\n<p>\\(\u03b1+\u03b2=-\\displaystyle\\frac{2}{3}a\\)\u3067\u3042\u308a\u3001\\(\u03b1\u03b2=\\displaystyle\\frac{1}{3}a\\)\u306a\u306e\u3067\u3001\u56e0\u6570\u5206\u89e3\u3057\u305f\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\left(-\\displaystyle\\frac{2}{3}a\\right)^3\\)\\(-3\u00d7\\left(\\displaystyle\\frac{1}{3}a\\right)\u00d7\\left(-\\displaystyle\\frac{2}{3}a\\right)\\)\\(+a\u00d7\\left(-\\displaystyle\\frac{2}{3}a\\right)^2\\)\\(-2a\u00d7\\left(\\displaystyle\\frac{1}{3}a\\right)\\)\\(+a\u00d7\\left(-\\displaystyle\\frac{2}{3}a\\right)\\)\\(+2\\)<\/p>\n<p>\\(=\\displaystyle\\frac{4}{27}a^3-\\displaystyle\\frac{2}{3}a^2+2\\)<\/p>\n<p>\\(f(\u03b1)+f(\u03b2)=2\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{4}{27}a^3-\\displaystyle\\frac{2}{3}a^2+2=2\\)<\/p>\n<p>\\(2a^3-9a^2=0\\)<\/p>\n<p>\\(a^2(2a-9)=0\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\\(a=0,\\displaystyle\\frac{9}{2}\\)\u306e\u3068\u304d\u3001\\(f(\u03b1)+f(\u03b2)=2\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u524d\u8ff0\u306e\u901a\u308a\u3001\u4e09\u6b21\u95a2\u6570\u304c\u6975\u5024\u3092\u3082\u3064\u305f\u3081\u306b\u306f\\(a&lt;0,3&lt;a\\)\u3067\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\\(a=0\\)\u306f\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3053\u3068\u304c\u3067\u304d\u305a\u3001\u7b54\u3048\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u7b54\u3048\u306f\\(a=\\displaystyle\\frac{9}{2}\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u3092\u5229\u7528\u3057\u3066\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u3092\u3059\u308b\u5834\u5408\u3001\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u304c\u5f79\u306b\u7acb\u3061\u307e\u3059\u3002\u6975\u5927\u5024\u3068\u6975\u5c0f\u5024\u306e\u5024\u304c\u308f\u304b\u3089\u306a\u304f\u3066\u3082\u3001\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u3092\u5229\u7528\u3059\u308c\u3070\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<h3>\u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u3092\u5fae\u5206\u3092\u7528\u3044\u3066\u884c\u3046<\/h3>\n<p>\u307e\u305f\u4e09\u6b21\u95a2\u6570\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u5834\u5408\u3001\u5fae\u5206\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8a3c\u660e\u3059\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u5fae\u5206\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u5e38\u306b\u5024\u304c\u6b63\u306e\u6570\u306b\u306a\u308b\u3053\u3068\u3092\u8a3c\u660e\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u4e09\u6b21\u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(0\u2266x\\)\u306e\u3068\u304d\u3001\\(x^3+9x\u22676x^2\\)\u3068\u306a\u308b<\/li>\n<\/ul>\n<p>\u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u3067\u306f\u3001\u5927\u5c0f\u306e\u5dee\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u5f15\u304d\u7b97\u3092\u5229\u7528\u3059\u308b\u3068\u304d\u3001\u6700\u5c0f\u5024\u304c\u5e38\u306b\u6b63\uff08\u307e\u305f\u306f0\uff09\u3067\u3042\u308b\u3068\u308f\u304b\u308b\u3068\u3001\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4e0d\u7b49\u5f0f\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x^3+9x\u22676x^2\\)<\/p>\n<p>\\(x^3-6x^2+9x\u22670\\)<\/p>\n<p>\\(f(x)=x^3-6x^2+9x\\)\u3068\u8003\u3048\u3066\u5fae\u5206\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f'(x)=3x^2-12x+9\\)<\/p>\n<p>\\(f'(x)=3(x^2-4x+3)\\)<\/p>\n<p>\\(f'(x)=3(x-1)(x-3)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(x=1,3\\)\u306e\u3068\u304d\u306b\u6975\u5024\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\\(x=1\\)\u3068\\(x=3\\)\u306e\u3068\u304d\u306e\u5024\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(f(1)=1-6+9=4\\)<\/p>\n<p>\\(f(3)=27-54+27=0\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\\(0\u2266x\\)\u306e\u3068\u304d\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\/ugf13.jpg\" alt=\"\" width=\"581\" height=\"148\" class=\"aligncenter size-full wp-image-5208\" 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