Linear Approximation and Local Linearity

One of the key concepts of calculus is that of linear approximation and local linearity.  Roughly, this says that at any function nice enough to be used in a standard calculus class, if we zoom in far enough, the tangent line gives a good approximation of the function.

Things to notice:

These applets were designed as by modifying an applet from a demo by Tom Banchoff at Brown University.  It is used with permission.   Go to the Banchoff Applet Help page.

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Last updated By Mike May, S.J. ,  October 6, 2006.