Wednesday, November 30, 2011

First Principles

Consider that y = f(x) and point P (x , y ) on a curve as at the figure 2.1.


If x increase to and y increase to , thus the new coordinates is becomes
When Q approaches the point P, will approaches to zero. And it’s written as



Therefore, from the limit idea, derivatives represent the slope of curve at a point.

So,


And the First Principles Formulae is


Example :

Differentiate the function below.
Solution :



























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