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A Characterization of a Quadratic Function in \(\Re^n\)

by Conway Xu (Montgomery Blair High School, Silver Spring, MD)

This article originally appeared in:
College Mathematics Journal
May, 2010

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

The author provides a characterization of \(n\)-dimensional quadratic functions in terms of tangent planes.

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Capsule Course Topic(s):
Multivariable Calculus | Partial Derivatives, Differentiability
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