(adsbygoogle = window.adsbygoogle || []).push({}); 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??

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# Derivative of 1/x the old fashioned way

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