Thread: Differentiating and simplifying logarithmic functions.

For a) I am supposed to use logarithmic differentiation to find the derivative.

For b) I am supposed to simplify it.

How would I do these? I have been able to do other hw problems however for these exact ones there are no examples to follow in the book

For a)

Assume we have
Take natural logs of both sides:

Now you can use implicit differentiation on both sides.

Edit: For you, things aren't *quite* as simple - but using a simple substitution will help put things into a similar form.

For b)





Tidy up with your exponent laws.