问题
填空题
已知f(x)=x2+2x•f′(1),则f′(0)=______.
答案
f'(x)=2x+2f'(1)⇒f'(1)=2+2f'(1),∴f'(1)=-2,有f(x)=x2-4x,f'(x)=2x-4,∴f'(0)=-4.
已知f(x)=x2+2x•f′(1),则f′(0)=______.
f'(x)=2x+2f'(1)⇒f'(1)=2+2f'(1),∴f'(1)=-2,有f(x)=x2-4x,f'(x)=2x-4,∴f'(0)=-4.