Найдите производную.
cos2xsinx+sin2xcosx

f(x)=cos(2x)sinx+sin(2x)cos(x)Формула: f(x)=uv, f'(x)=u'v+uv'cos(2x)'=-2sin(2x)sin(x)'=cos(x)sin(2x)'=2cos(2x)cos(x)'=-sin(x)f'(x)=(-2sin(2x)sin(x)+cos(2x)cos(x))+(2cos(2x)cos(x)+sin(2x)(-sin(x))==-2sin(2x)sin(x)+cos(2x)cos(x)+2cos(2x)cos(x)-sin(2x)sin(x)==-3sin(2x)sin(x)+3cos(2x)cos(x)