Question

determine the derivative of $f(x)=5^{x}$.

Explanation:

Step1: Recall derivative formula

The derivative of $a^{x}$ is $a^{x}\ln(a)$. Here $a = 5$.
$f^\prime(x)=\frac{d}{dx}(5^{x})$

Step2: Apply the formula

$f^\prime(x)=5^{x}\ln(5)$

Answer:

$5^{x}\ln(5)$