I've been given this problem and I've been working on it for a week on and off trying to figure out how to simplify it so it looks a bit cleaner. I can get the derivative without issue (I hope it's right) but my simplifying bag-of-tricks is not as developed as it should be.

Original question-- Use logarithmic differentiation to find the derivative:

Is my instructor just trying to make me go mad or am I missing something? Trying to learn when to stop simplifying is difficult at times.