Question

find the derivatives for parts (a) through (d) below.
(a) if $f(x)=x^{5}$, find $f(x)$.
$f(x)=square$

Explanation:

Step1: Apply power - rule

The power - rule for differentiation is $\frac{d}{dx}(x^n)=nx^{n - 1}$. Here $n = 5$.
$f'(x)=5x^{5-1}$

Step2: Simplify the exponent

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

Answer:

$5x^{4}$