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

Explanation

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


`=e^{x} frac{d}{d x}(x^{3})+x^{3} frac{d}{d x}(e^{x})` [Using product rule]


`e^{x} 3 x^{2}+x^{3} e^{x}`


`=x^{2} e^{x}(3+x)`