Question

If f(x)=3^x, what is f' (0)?

Answer 1

Do you have the value of \(\Delta x\)?

Answer 2

What is that?

Answer 3

When you use the notation f'(0) are you referring to the derivative or the inverse function?

Answer 4

derivative

Answer 5

ln(3)

Answer 6

\[\Large f'(0)=\lim_{\Delta x\rightarrow0}\frac{3^{\Delta x}-3^0}{\Delta x}\]

Answer 7

Or use implicit differentiation to find out f'(x) first.

Answer 8

@dukeotherwise I got ln3 too. Thanks!