Как найти производную функции y=(x^3-2x^2-1)*sin2x?

y(x)=(x^3-2x^2-1)*sin(2x)

u(x)=x^3-2x^2-1 , v(x)=sin(2x)

y(x)=u(x)*v(x)

y'(x)=u'(x)*v(x)+u(x)*v'(x)

u'(x)=3x^2-4x , v'(x)=2cos(2x)

y'(x)=(3x^2-4x)*(sin(2x))+(x^3-2x^2-1)*(2cos(2x))

http://www.wolframalpha.com/input/?i=%28%28x^3-2x^2-1%29*sin%282x%29%29%27%3D%28­3x^2-4x%29*%28sin%282x%29%29%2B%28x^3-2x^2-1%29*%282cos%282x%29%29