Module 13 :  Maxima, Minima and Saddle Points, Constrained maxima and minima
Lecture 37 :  Saddle points [Section 37.2]
 
 

             Figure 1. Saddle point at

   
  The above example motivates the following definition.
   
37.2.2 Definition:
 

Let and be a critical point. We call a point in to be a saddle point of if in every open ball centered at , there exist points and in such that

   
37.2.3

Example:

(i)
 Let
 
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