f(x)=sinx,求导f('f(x)),f(f'(x)),[f(f(x))]'
问题描述:
f(x)=sinx,求导f('f(x)),f(f'(x)),[f(f(x))]'
答
f(x) = sinx
f(f(x)) = sin(sinx)
第一个不知道你写的什么.
f'(x) = cosx
f(f'(x)) = sin(cosx)
[f(f(x))]'
= df(f(x))/df(x) * df(x)/dx
= cos(sinx) * cosx
= cosxcos(sinx)