On the classification of constrained extrema

Using simple arguments, accessible to students of advanced calculus with an interest in Mathematics, we show the equivalence of several criteria, scattered in the literature, to classify the critical points of functions of two or three variables when restricted to side conditios.

Bibliographic Details
Main Authors: Proti, Orieta, Figueroa, Héctor
Format: Online
Language:spa
Published: Universidad de Costa Rica 2011
Online Access:https://revistas.ucr.ac.cr/index.php/cienciaytecnologia/article/view/2211
Description
Summary:Using simple arguments, accessible to students of advanced calculus with an interest in Mathematics, we show the equivalence of several criteria, scattered in the literature, to classify the critical points of functions of two or three variables when restricted to side conditios.