# A Characterization of a Quadratic Function in $\Re^n$

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

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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