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设函数在f(x)在(0,正无穷)内可导,且f(e ^x)=x+e^x,则f'(1)=
设函数在f(x)在(0,正无穷)内可导,且f(e ^x)=x+e^x,则f'(1)=
人气:384 ℃ 时间:2020-06-24 18:14:39
解答
f(e^x) = x + e^x,
f(t) = lnt + t,
f'(t) = 1/t + 1,
f'(1) = 1/1 + 1 = 2.
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