Differentiating Functions: Difference between revisions

Revision as of 06:12, 28 October 2005

Revision as of 06:15, 28 October 2005

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

<math>lim_{h\rarr0}\frac{f(x+dxh)-f(x)}{dx}</math> the more h approaches zero, the closer it will get to differentiated function of f(x)

In order to use this function to prove our law, we're going to use f(x)=xⁿ on this function:

<math>lim_{h\rarr0}\frac{(x+dxh)^n-x^n}{h}</math>

Now, if you get the x+h out of the brackets, it would lead to something among the lines of: