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Derivative Sign Patterns in Two Dimensions

Kenneth Schilling
The College Mathematics Journal
Vol. 44, No. 2 (March 2013), pp. 102-108
DOI: 10.4169/college.math.j.44.2.102
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.44.2.102
Page Count: 7
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Derivative Sign Patterns in Two Dimensions
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Abstract

Summary Given a function defined on a subset of the plane whose partial derivatives never change sign, the signs of the partial derivatives form a two-dimensional pattern. We explore what patterns are possible for various planar domains.

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