f(x)的导数等于e的f(x)次方,则f(x)的三阶导是什么??

2024-12-21 09:07:48
推荐回答(1个)
回答1:

f ' (x) = e^{f(x)}..........................(1)
ln f '(x) = f(x).............................(2)
f '' / f ' = f '................................(3)
f '' = (f ')²..................................(4)
f ''' = 2f ' f ''...............................(5)
d³f(x)/dx³ = 2 e^{f(x)} e^{2f(x)}
f ''' = d³f(x)/dx³ = 2 e^{3f(x)}.......(6)