You are here

"The Only Critical Point in Town" Test

If a function of one variable has a unique critical point, then it is not only a local max/min, but global. Does the same hold for functions of two variables? The authors provide a counterexample.

Old Node ID: 
1899
Author(s): 
Ira Rosenholtz (University of Wyoming) and Lowell Smylie (University of Wyoming)
Publication Date: 
Tuesday, June 10, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
May, 1985
Subject(s): 
Calculus
Several Variable Calculus
Topic(s): 
Optimization
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
21.00
Rating Sum: 
67.00
Rating Average: 
3.19
Author (old format): 
Ira Rosenholtz and Lowell Smylie
Applicable Course(s): 
3.3 Mainstream Calculus III, IV
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Thursday, August 9, 2012
Average: 3.2 (21 votes)

Dummy View - NOT TO BE DELETED