Monday, 22 May 2006, 12:46:14 EDT

My Transition to Higher Level Mathematics course was more fun than I thought it would be. It was tough, but there were a couple things we did that were really neat. Some of the proofs were were asked to write were neat as well. One such proof was on my final exam. The problem is to prove, using induction and the product rule, that if a function is differentiable then the derivative of the function is equal to its power times the function raised to its power minus one time the derivative of the function. It sounds complicated but you really don't even have to know calculus; all you need are some sharp algebra skills and an understanding of what the product rule is. I had so much fun with this one I have decided to post my proof: PDF or TeX.

In addition, I have decided to make it easier to find these sort of write-ups that I have posted. As of right now there are only three, including this one. You read them at any time by using the Articles link in the page menu.