How to get the derivative of this ln function?

http://img181.imageshack.us/img181/5529/88998479ei5.gifThe function is in the image up there. I'm pretty sure you use quotient rule, take the derivatives, etc.

But the part I have trouble with is the simplification process.

I'd really appreciate it if someone could help walk me through how to solve this.

Note to poster: Use a thread title indicative of the nature of the question, also post in the most appropriate forum, this is calculus so it goes in the calculus forum.