Differentiability Applet - 1 Variable

This applet follows the same approach as the 1 variable continuity applet, trying to build intuition the definition of differentiability for a function of two variables. 

As with continuity, to prove differentiability at a point we would need to prove a rule that gives a delta for any positive epsilon, with the function trapped by the approximating cone.  As with continuity, we will probably be convinced if we can find the deltas that go along with the epsilon values of .1, .01, and .001.

Click on the button below to launch the applet.

Things to notice:

The method used in this applet can be generalized to look at the meaning of differentiability for functions of 2 variables.

This applet was 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.

Return to the Banchoff Applet page.
Return to the SLU Calculus Applet page.

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