Friday, May 20, 2011

Secant & Tangent

The graph below shows the process of getting instantaneous rate of change (slope of tangent) from average rate of change (slope of secant).

The red curve is given as y = g(x). Take note that the average rate of change of y from point A to point B is
.

Drag point B to observe the change of the slope of secant (m is used to represent slope). As point B is getting nearer to point A, the value of the slope of secant is approaching to the value of the slope of tangent at point A.



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Betty, Created with GeoGebra

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