If $y = x e^{x}$, what is $\frac{d^2y}{dx^2}$?

Explanation

1. 01

   First derivative: $\frac{dy}{dx} = \left(x + 1\right) e^{x}$.

2. 02

   Differentiate again: $\frac{d^2y}{dx^2} = \left(x + 2\right) e^{x}$.