Question

find the indicated derivative.
$\frac{dy}{dx}$ if $y = 4x^{3}$
$\frac{dy}{dx}=square$

Explanation:

Step1: Apply power - rule for derivatives

The power - rule states that if $y = ax^n$, then $\frac{dy}{dx}=anx^{n - 1}$. Here, $a = 4$ and $n = 3$.

Step2: Calculate the derivative

$\frac{dy}{dx}=4\times3x^{3 - 1}=12x^{2}$

Answer:

$12x^{2}$