116问答网 > 已知f(x)=a^x*x^a ，求其导数。

已知f(x)=a^x*x^a ，求其导数。

2025-03-15 11:38:45
推荐回答（2个）
回答1：

f'(x) = a^x lna * x^a + a^(x+1) * x^(a-1)

回答2：

f(x)=a^x*x^a
f‘(x)=(a^x*x^a )'
=(a^x)'*x^a+a^x*(x^a )'
=a^x*lna'*x^a+a*a^x*x^(a-1)

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