find $\frac{d^{2}y}{dx^{2}}$ \n$y = - 6x^{4}+1$
find $\frac{d^{2}y}{dx^{2}}$ \n$y = - 6x^{4}+1$
Answer
Explanation:
Step1: Find first - derivative
Using the power rule $\frac{d}{dx}(x^n)=nx^{n - 1}$, for $y=-6x^{4}+1$, we have $\frac{dy}{dx}=-6\times4x^{4 - 1}+0=-24x^{3}$.
Step2: Find second - derivative
Differentiate $\frac{dy}{dx}=-24x^{3}$ again using the power rule. $\frac{d^{2}y}{dx^{2}}=-24\times3x^{3 - 1}=-72x^{2}$.
Answer:
$-72x^{2}$