February 9th, 2010, 10:06 AM  #1 
Newbie Joined: May 2008 Posts: 11 Thanks: 0  Minimum value?
Hey, how would I algebraically find the minimum value of...say... ?

February 9th, 2010, 01:10 PM  #2 
Newbie Joined: Dec 2009 Posts: 7 Thanks: 0  Re: Minimum value?
If you differentiate your function, you will get: y´= 1/2 * (x2 +(x1)2)**(1/2) * (2x+2(x1)), you can consider this as a product of two terms, the first one is always positive, a you are adding two positive numbers, so no minimum will came from here. the second terms has a possible solution: 4x2=0 ==> x = 1/2 
February 9th, 2010, 03:33 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,969 Thanks: 2219 
y² = x² + (x  1)² = 2(x  1/2)² + 1/2, so the minimum value of y is ?(1/2).


Tags 
minimum 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Help with a minimum  Telu  Calculus  4  August 2nd, 2013 10:00 PM 
minimum value  panky  Algebra  5  November 6th, 2011 01:52 PM 
Minimum value  dk1702  Calculus  4  May 11th, 2010 05:58 PM 
Minimum value of D  K Sengupta  Number Theory  2  March 5th, 2009 06:12 AM 
Minimum value  ferret  Calculus  5  October 30th, 2008 05:09 PM 