August 1st, 2013, 02:50 PM  #1 
Newbie Joined: Jun 2013 Posts: 7 Thanks: 0  Help with a minimum
I canīt find the minimum of followin function. Let . The question is: Thanks 
August 2nd, 2013, 12:05 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,786 Thanks: 708  Re: Help with a minimum
Have you tried elementary calculus  find the zeros of the derivative?

August 2nd, 2013, 03:27 PM  #3 
Newbie Joined: Jun 2013 Posts: 7 Thanks: 0  Re: Help with a minimum
thanks mathman. Since h'(4) h(x) donīt have a minimum at x=4. Then, How to find the minimum of h(x)? 
August 2nd, 2013, 04:30 PM  #4 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Help with a minimum
Okay, h'(4) is NOT 0. Where is it 0? That should be fairly easy to solve.

August 2nd, 2013, 10:00 PM  #5 
Newbie Joined: Jun 2013 Posts: 7 Thanks: 0  Re: Help with a minimum
Let a=a(x) and b=b(x). . . I found: at From the expression of and follows that and . Then So a+b have a minimum at Thank you HallsofIvy and mathman. 

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