f(x)=e^x+1/2 * x * f'(0)
则f'(x)=e^x+1/2 * f'(0)
f'(0)=1+1/2 * f'(0)
f'(0)=2
所以f(x)=e^x+x.f(x)=e^x+1/2 * x * f'(0)则f'(x)=e^x+1/2 * f'(0)这步不懂两边求导，f(x)导数为f'(x)；e^x导数为e^x；1/2 * x * f'(0)导数为1/2 * f'(0).