Question

What is the derivative of $5^x$?

Answer 1

Differentiation of the given function:

Apply general formula $\frac{d}{dx}\left(a^x\right)=a^x\ln a$:

$\frac{d}{dx}\left(5^x\right)=5^x·\ln 5$

Hence, the derivative of $5^x$is $5^x·\ln 5$.