Question

设函数f(x)在（0,正无穷）内可导,且f(e的x次方)=x+e的x次方,则f’(1)=?

Answer 1

f(e^x) = x + e^x,

f(t) = lnt + t,

f'(t) = 1/t + 1,

f'(1) = 1/1 + 1 = 2.