Tuesday 10/16

Today, I tried to prove the product rule but I made a mistake. The mistake was thinking that I had made a mistake, when I had not. I just needed to finish the proof.

I stopped when I had g(x+h)f '(x) and thought that it was wrong. I knew that I wanted g(x)f '(x) instead but one gets that by continuing on and evaluating the limit.

See the image below for the finished proof. Sorry for the brain block.