Question

求sin(3x+1)的三次方（包括正弦）的导数

Answer 1

f(x)=sin^3(3x+1)

设sin(3x+1)=u,3x+1=v

则：

f'(x)=[y'|u]*[u'|v]*[v'|x]

=[(u^3)']*[(sinv)']*[(3x+1)']

=[3u^2]*[cosv]*[3]

=[3sin^2(3x+1)]*[cos(3x+1)]*3

=9sin^2(3x+1)cos(3x+1)