Правильно ли решение?

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