Question

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

Explanation:

Step1: Recall exponential - derivative formula

The derivative of $a^x$ is $a^x\ln(a)$, where $a>0$ and $a
eq1$. Here $a = 5$.

Step2: Apply the formula

For $f(x)=5^x$, its derivative $f^\prime(x)=5^x\ln(5)$.

Answer:

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