If $y = x^{4} - 3 x^{2} + 7 x$, what is $\frac{d^2y}{dx^2}$?

Explanation

1. 01

   First derivative: $\frac{dy}{dx} = 4 x^{3} - 6 x + 7$.

2. 02

   Differentiate again: $\frac{d^2y}{dx^2} = 12 x^{2} - 6$.