y=sin²xcos2x的导数是?

问题描述:

y=sin²xcos2x的导数是?

∵y=(sinx)^2cos2x,
∴y′
=[(sinx)^2]′cos2x+(sinx)^2(cos2x)′
=2sinxcosxcos2x-2sin2x(sinx)^2.