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已知实数a>0,求函数f(x)=[ax^2+3(a+1)x+3a+6] / (e^x)的极值
人气:282 ℃ 时间:2019-08-21 09:34:42
解答
f(x)=[ax^2+3(a+1)x+3a+6] / (e^x)f ‘(x)={[2ax+3(a+1)](e^x) - [ax^2+3(a+1)x+3a+6](e^x)}/[e^(2x)]={[2ax+3(a+1)] - [ax^2+3(a+1)x+3a+6]}/(e^x)=[- ax^2-(a+3)x-3]/(e^x)=[(ax-3)(-x+1)]/(e^x)...
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