Derivative with two natural logarithms: Can't figure out which rule to use

I'm given

I know the answer is

but have no idea which rule I should use, and what I should do to carry it out.

Re: Derivative with two natural logarithms: Can't figure out which rule to use

Chain rule, about 3-4 times.

Re: Derivative with two natural logarithms: Can't figure out which rule to use

Quote:

Originally Posted by

**ReneG** I'm given

I know the answer is

but have no idea which rule I should use, and what I should do to carry it out.

Suppose that is a differentiable function.

Re: Derivative with two natural logarithms: Can't figure out which rule to use

Alright, so the chain rule says

Substituting in this case, would the first step be

How would I find the derivative of that first outside function?

Re: Derivative with two natural logarithms: Can't figure out which rule to use

Re: Derivative with two natural logarithms: Can't figure out which rule to use

You never cease making such a rigorous subject so easy to understand. I greatly appreciate it, thank you!

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Re: Derivative with two natural logarith: Can't figure out which rule to use