Question

Find the derivative of y=(8^x)^(5^x).
Can someone explain how to do this??

Answer 1

logarithm

Answer 2

so you want to use the logarithmic differentiation and chain rule.

Answer 3

\[y= f(x)^{g(x)}\\ lny=lnf(x)^{g(x)}\\lny = g(x)lnf(x)\]

Answer 4

thanks:) My professor didn't teach us anything about logarithmic differentiation but I kinda get it. I'll go try it out.