Question

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

Explanation:

Step1: Apply power - rule

The power - rule for differentiation is $\frac{d}{dx}(x^n)=nx^{n - 1}$. Here $n = 3$.
$\frac{d}{dx}(x^{3})=3x^{3-1}$

Step2: Simplify the exponent

$3x^{3 - 1}=3x^{2}$

Answer:

$3x^{2}$