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 line, ms. As point B is getting nearer to point A, the value of the slope of secant line is approaching to the value of the slope of tangent line at point A, mt.



Betty, Created with GeoGebra

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