determine the derivative of f(x) = 5^x.
determine the derivative of f(x) = 5^x.
Answer
Explanation:
Step1: Recall exponential - derivative formula
The derivative of $a^x$ is $a^x\ln(a)$, where $a>0$ and $a\neq1$. Here $a = 5$.
Step2: Apply the formula
For $f(x)=5^x$, its derivative $f^\prime(x)=5^x\ln(5)$.
Answer:
$f^\prime(x)=5^x\ln(5)$