find $\frac{d^{2}y}{dx^{2}}$ $y = - 6x^{4}+1$

$find $\frac{d^{2}y}{dx^{2}}$ $y = - 6x^{4}+1$$

find $\frac{d^{2}y}{dx^{2}}$
$y = - 6x^{4}+1$

Using the power rule $\frac{d}{dx}(x^n)=nx^{n - 1}$, for $y=-6x^{4}+1$, we have $\frac{dy}{dx}=-6\times4x^{4 - 1}+0=-24x^{3}$.

Differentiate $\frac{dy}{dx}=-24x^{3}$ again using the power rule. $\frac{d^{2}y}{dx^{2}}=-24\times3x^{3 - 1}=-72x^{2}$.

$-72x^{2}$