determine the derivative of $f(x)=5^{x}$.
determine the derivative of $f(x)=5^{x}$.
Answer
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:
$5^{x}\ln(5)$