函数y=xsin(2x-π2)cos(2x+π2)的导数是_.
问题描述:
函数y=xsin(2x-
)cos(2x+π 2
)的导数是______. π 2
答
y=xsin2xcos2x=
xsin4x,y′=1 2
sin4x+2xcos4x,1 2
故答案为:y′=
sin4x+2xcos4x.1 2