1. The problem statement, all variables and given/known data f(x) = 1/x Find the derivative 2. Relevant equations f'(x)= lim h->0 [f(x+h) - f(x)] / [h] 3. The attempt at a solution I MUST show work and use that formula to arrive at the derivative (1/x^2) I can't figure out the algebra. I rearrange it countless ways.. [1/(x+h) - 1/x] - (1/x)] / [h] ETC. But I can NEVER find a way to algebraically arrive at the derivative! Ever! What would you guys do to algebraically solve this??