Question

question
find the derivative of f(x)=x^13.
provide your answer below:
f(x)=□

Explanation:

Step1: Apply power - rule for derivatives

The power - rule states that if $f(x)=x^n$, then $f^{\prime}(x)=nx^{n - 1}$. Here $n = 13$.
$f^{\prime}(x)=13x^{13 - 1}$

Step2: Simplify the exponent

$13x^{13 - 1}=13x^{12}$

Answer:

$13x^{12}$