What is the derivative of natural log with exponents?

[mavsqueen06]

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

 

[arildno]

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

 

[radou]

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

You should find this link useful: "[URL .[/URL]

 

[mavsqueen06]

i'm working on the B) one

 

[arildno]

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

 

[mavsqueen06]

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

 

[arildno]

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

 

[mavsqueen06]

thanks so much!