Derivative Sign Patterns in Two Dimensions

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.

Saved in:
Bibliographic Details
Published in:The College mathematics journal 2013-03, Vol.44 (2), p.102-108
Main Author: Schilling, Kenneth
Format: Article
Language:English
Subjects:
College Mathematics
Geometry
Mathematical analysis
Mathematical Concepts
Mathematical functions
Mathematics Instruction
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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.
ISSN:0746-8342
1931-1346
DOI:10.4169/college.math.j.44.2.102