1. The problem statement, all variables and given/known data Okay, the concept here is to use induction to prove that for n, (f1 x f2 x ..... x fn-1 x fn)' = (f'1 x f2 x ... x fn) + (f1 x f'2 x ... x fn) + .... + (f1 x f2 x ... x f'n). 2. Relevant equations/ 3. The attempt at a solution I solved the initial step, which was quite easy. I started to set up the inductive step, by stating that: (f1 x f2 ..... x fn x fn+1)' = (f'1 x f2 x ... x fn+1) + (f1 x f'2 x ... x fn+1) + .... + (f1 x f2 x ... x f'n+1). And I do understand how induction works - I know I am supposed to plug in what I have for the "n" equation into part of my "n+1" equation and find equality. I just don't know HOW I'm supposed to do that for some reason. I think it's the derivatives throwing me off because in the last few problems that I did, it was fine. Please help me simplify?