Differentiate the following function with respect of `x : x^3sinx`

Explanation

`x^{3} sin x`


differentiating w.r.t. `{x}`



`frac{d}{d x}(x^{3} sin x) `


`=x^{3} frac{d}{d x} sin x+frac{d}{d x}(x^{3}) sin x `


`=x^{3} cos x+3 x^{2} sin x `


`=x^{2}(x cos x+3 sin x)`