函数y=xsin(2x-π2)cos(2x+π2)的导数是_.

问题描述:

函数y=xsin(2x-

π
2
)cos(2x+
π
2
)的导数是______.

y=xsin2xcos2x=

1
2
xsin4x,y′=
1
2
sin4x+2xcos4x,
故答案为:y′=
1
2
sin4x+2xcos4x