Differentiating Functions: Difference between revisions

Revision as of 23:14, 23 October 2005

Revision as of 18:39, 25 October 2005

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When we want to get to differentiating, we just have to make a differentiation quotient for one point.

This would lead to a frequently used -although non sophisticated way- of making this differentiation function:

(f(x+0.0001)-f(x))/0.0001 (of course you could add more zero's, but it's kindof silly anyway, so forget about it)

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So, let's just forget about them small numbers and make it variable, so we can play with it:

(f(x+dx)-f(x))/dx the more delta x (dx) approaches zero, the closer it will get to differentiated function of f(x)

(f(x+dx)-f(x))/dx

In order to get fromuse this function, to theprove proof of theour law, we're going to pull a little trick to make it easieruse f(-x)=x^n yeah I'll explainon this step later, because I can't focus now)function:

((x+dx)^n-x^n)/dx