令f(x)=y=sin³2xf'(x)=3sin²2x·(sin2x)'=3sin²2x·cos2x·(2x)'=3sin²2x·cos2x·2=3·(2sin2xcos2x)·sin2x=3sin4xsin2x=3·½·[cos(4x-2x)-cos(4x+2x)]=(3/2)cos2x -(3/2)cos6x函数的导函数为(3/2)cos2x -(3/2)cos6x