Question

设f(x)=e^x-1+o(x),且f(0)=0,则f '(0)=____

Answer 1

o(x)代表x的高阶无穷小

则o(x)可以表示x^2,x^3等等

f‘(x)=e^x+ax^(a-1)

f‘(0)=e^0+a0^(a-1)=1