Module 13 :  Maxima, Minima and Saddle Points, Constrained maxima and minima
Lecture 37 :  Maxima and Minima [Section 37.1]
37 .1 Maxima and minima
37.1.1 Definition:
  Let where Let
(i)
 We say has a point of local maximum at if there is some such that
 




In this case the value is called a local maximum of

(ii)
We say has a point of local minimum at if there is some such that
 




In this case the value is called a local minimum of

   
37.1.2 Examples:
(i)
If and
 




then has a local maximum at and the local maximum is

 

 
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