Derivative of Natural log

1. Nov 30, 2006

mavsqueen06

Having some trouble understanding derivatives including numbers to the "X" power. For example, f(x)= 7^8^x, f'(x)=?

2. Nov 30, 2006

arildno

Are you talking of:
a) $f(x)=(7^{8})^{x}$
b) $f(x)=7^{8^x}$

3. Nov 30, 2006

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Last edited by a moderator: May 2, 2017
4. Nov 30, 2006

mavsqueen06

i'm working on the B) one

5. Nov 30, 2006

arildno

So, set $$u(x)=8^{x}$$, and use the chain rule of differentiation.

6. Nov 30, 2006

mavsqueen06

ok, thanks, what about dividing them? do i still use rules of differentiation. for example, 3^x/4^x

7. Nov 30, 2006

arildno

Or, use first:
$$\frac{3^{x}}{4^{x}}=(\frac{3}{4})^{x}$$

8. Nov 30, 2006

mavsqueen06

thanks so much!