Differentiate $x^{2} \sin x$ with respect to $x$.

Explanation

1. 01

   Product rule: $(uv)' = u'v + uv'$, with $u = x^{2}$ and $v = \sin x$.

2. 02

   $(2 x)(\sin x) + (x^{2})(\cos x) = x^{2} \cos x + 2 x \sin x$.