Question

What is the derivative of `5^(3x)`?

Answer 1

Please see below.

Explanation:

`d/dx(a^x) = a^x lna`

So, `d/dx(a^u) = (a^u lna) (du)/dx`

So `d/dx(5^(3x)) = (5^(3x) ln5) (3)`

`= 3(5^(3x))ln5`