Question

$\frac{d}{dx}x^{3}=$

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 3$.
$\frac{d}{dx}[x^3]=3x^{3 - 1}$

Step2: Simplify the exponent

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

Answer:

$3x^2$