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

For the following function, check whether the indicated point is a point of local maximum/local minimum/saddle point for :

(1)
 .
  Answer
   
(2)
 .
  Answer
   
(3)

Let . Show that is a critical point of . Find suitable curves in

  to deduce that , has a saddle point at .
  Answer
   
   
   
   
   
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