- #1

1MileCrash

- 1,342

- 41

## Homework Statement

f(x) = 1/x

Find the derivative

## Homework Equations

f'(x)= lim h->0

[f(x+h) - f(x)] / [h]

## 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??