{"id":936567,"date":"2025-01-02T23:38:22","date_gmt":"2025-01-02T15:38:22","guid":{"rendered":"https:\/\/www.youtupa.com\/gonglue\/936567.html"},"modified":"2025-01-04T02:16:18","modified_gmt":"2025-01-03T18:16:18","slug":"2025%e5%b9%b4%e6%88%90%e8%80%83%e6%95%b0%e5%ad%a6%e7%9f%a5%e8%af%86%e7%82%b9%e6%95%b4%e7%90%86-%e9%ab%98%e9%a2%91%e5%85%ac%e5%bc%8f%e7%ac%94%e8%ae%b0%e6%a2%b3%e7%90%86","status":"publish","type":"post","link":"https:\/\/www.youtupa.com\/gonglue\/936567.html","title":{"rendered":"2025\u5e74\u6210\u8003\u6570\u5b66\u77e5\u8bc6\u70b9\u6574\u7406 \u9ad8\u9891\u516c\u5f0f\u7b14\u8bb0\u68b3\u7406"},"content":{"rendered":"
\"2025\u5e74\u6210\u8003\u6570\u5b66\u77e5\u8bc6\u70b9\u6574\u7406<\/figure>\n

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(1)\u51e0\u4f55\u610f\u4e49:\u51fd\u6570f(x)\u5728\u70b9(x0,y0)\u5904\u7684\u5bfc\u6570\u503cf'(x0)\uff0c\u5373\u4e3af(x)\u5728\u70b9(x0,y0)\u5904\u5207\u7ebf\u7684\u659c\u7387\u3002<\/p>\n

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f'(x)>0\u5219f(x)\u5728(a\uff0cb)\u5185\u4e25\u683c\u5355\u8c03\u589e\u52a0<\/p>\n

f'(x)<0\u5219f(x)\u5728(a\uff0cb)\u5185\u4e25\u683c\u5355\u8c03\u51cf\u5c11\u3002<\/p>\n

3\u3001\u51fd\u6570\u7684\u6781\u503c\u3001\u6700\u5927\u503c\u3001\u6700\u5c0f\u503c<\/p>\n

f'(x)=0\u7684\u70b9\u2014-\u51fd\u6570f(x)\u7684\u9a7b\u70b9\u3002\u8bbe\u4e3ax0<\/p>\n

(1)\u82e5x< x0\u65f6\uff0cf'(x)>0;x> x0\u65f6\uff0cf'(x)<0\uff0c\u5219f(x0)\u4e3af(x)\u7684\u6781\u5927\u503c\u70b9\u3002<\/p>\n

(2)\u82e5x<x0\u65f6\uff0cf'(x)x0\u65f6\uff0cf'(x)0\uff0c\u5219f(x0)\u4e3af(x)\u7684\u6781\u5c0f\u503c\u70b9<\/p>\n

(3)\u5982\u679cf'(x)\u5728x0\u7684\u4e24\u4fa7\u7684\u7b26\u53f7\u76f8\u540c\uff0c\u90a3\u4e48f(x0)\u4e0d\u662f\u6781\u503c\u70b9\u3002<\/p>\n

(4)\u6781\u503c\u548c\u7aef\u70b9\u7684\u51fd\u6570\u503c\u4e2d\u6700\u5927\u548c\u6700\u5c0f\u7684\u5c31\u662f\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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