
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 12th, 2010, 10:17 AM  #1 
Member Joined: Jan 2010 Posts: 44 Thanks: 0  infimum, supremum of two argument function in particular set
Here is the task: Find supremum and infimum of , if . I have tried two ways: 1) searching for partial derivatives in order to find local extrema, but here is what happens: So, it means that there is no local extreme points at all? Or all are extreme points? 2) from D follows that . Then I can get function and look for extreme points of g(x). How do you think? Which way could fit? Or am I wrong in both of them? 
November 12th, 2010, 11:26 AM  #2 
Member Joined: Jan 2010 Posts: 44 Thanks: 0  Re: infimum, supremum of two argument function in particular
\frac{\partial f}{\partial x}=2x+2y, \frac{\partial f}{\partial y}=2x+2y 
November 12th, 2010, 02:54 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,380 Thanks: 542  Re: infimum, supremum of two argument function in particular 

Tags 
argument, function, infimum, set, supremum 
Search tags for this page 
suprimum of a two variable function,function supremum and infimum,supremum and infimum of a function on two variAbles,supremum of two functions,sup of function oftwo variables
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Supremum and Infimum  galc127  Linear Algebra  3  October 30th, 2013 12:56 AM 
Supremum and Infimum!!! need help!  munjo5746  Real Analysis  6  June 4th, 2013 01:03 PM 
supremum & infimum of set of rational numers  rohithsen  Real Analysis  6  July 27th, 2011 01:19 PM 
Infimum And Supremum  wannabe1  Real Analysis  5  September 27th, 2010 05:11 PM 
Supremum, infimum  greg1313  Applied Math  3  March 2nd, 2010 09:57 AM 