Re: differentiation from first principles

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#100

From: Virgil
Date: Tue, 05 Feb 2008 18:20

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In article <6QZpj.1343$Jh5.286@newsfe4-win.ntli.net>,
 "sean�doyle" <sean.doyle4@virgin.net> wrote:

> Tried without success to differentiate 1/x from first principles using delta 
> x, can anyone help? 

Using h instead of delta x: and assuming x is not 0

[1/(x+h) - 1/x]/h = [(x - (h+h))/(x*(x+h))]/h
                  = [-h/(x*(x+h)]/h
                  = -1/(x*(x+h))
                  --> -1/x^2 as h --> 0

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From: Virgil <Virgil@com.com>
Newsgroups: aus.mathematics
Subject: Re: differentiation from first principles
References: <6QZpj.1343$Jh5.286@newsfe4-win.ntli.net>
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