Question

How do you differentiate `9^x`?

Answer 1

`ln9*9^x`

Explanation:

`f(x) = 9^x`

`lnf(x) = xln9`

`1/f(x)*f'(x) = ln9` (Implicit differentiation)

`f'(x) = ln9*f(x)`

`= ln9*9^x`