Re: basic differentiation

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Article #151

#151

From: Ken Pledger
Date: Thu, 29 Mar 2007 01:24

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In article <1175122860.747452.10010@n59g2000hsh.googlegroups.com>,
 abbott.gerry@gmail.com wrote:

> i have an equation  s = (t+1)/(t+3).
> 
> I want to differentiate it to get ds/dt ?
> 
> 
> whats the rule for this....

      Here's a way to approach all questions like that.  Suppose you 
were to put in a numerical value for t,  for example  t = 2.

First you'd find  t + 1  =  2 + 1  =  3,

and   t + 3  =  2 + 3  =  5,

and finally you'd divide 3 by 5 to get  3/5.  The _last_ step in such a 
calculation tells you the _first_ step in differentiating.  In this 
example the last step was a division, so begin the differentiation by 
using the quotient rule.

      HTH

            Ken Pledger.

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From: Ken Pledger <ken.pledger@mcs.vuw.ac.nz>
Newsgroups: aus.mathematics
Subject: Re: basic differentiation
Organization: Victoria University of Wellington, New Zealand
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