f'(x)=e^f(x) ① 当x=2时,f(x)=1,那么f'(2)=e^f(2)=e ①式两边同时对x进行求导,得:f''(x)=e^f(x)*f'(x)=e^f(x)*e^f(x)=e^[2f(x)] ② 将x=2,f(2)=1代入,得:f''(2)=e^[2f(2)]=e^2 ②式两边同时对x进行求导,得:f'''(x)=e^[2f(x)]*2f'(x)=2e^[2f(x)]*e^f(x)=2e^[3f(x)] 将x=2,f(2)=1代入,得:f'''(2)=2e^[3f(2)]=2e^3