Question

g(x)=x^5
g(x)=

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = x^n$, then $y'=nx^{n - 1}$. Here $n = 5$.
$g'(x)=5x^{5 - 1}$

Step2: Simplify the exponent

$5x^{5 - 1}=5x^{4}$

Answer:

$5x^{4}$