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A Surface Useful for Illustrating the Implicit Function Theorem

by Jeff Nunemacher (Ohio Wesleyan University)

This article originally appeared in:
College Mathematics Journal
September, 2003

Subject classification(s): Several Variable Calculus | Calculus
Applicable Course(s): 3.3 Mainstream Calculus III, IV

A nice example has singular points where the gradient is zero.

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Capsule Course Topic(s):
Multivariable Calculus | Directional Derivatives and Gradients
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