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August 1st, 2013, 02:50 PM   #1
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Help with a minimum

I canīt find the minimum of followin function.
Let .


The question is:


Thanks
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August 2nd, 2013, 12:05 PM   #2
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Re: Help with a minimum

Have you tried elementary calculus - find the zeros of the derivative?
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August 2nd, 2013, 03:27 PM   #3
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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)?
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August 2nd, 2013, 04:30 PM   #4
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Re: Help with a minimum

Okay, h'(4) is NOT 0. Where is it 0? That should be fairly easy to solve.
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August 2nd, 2013, 10:00 PM   #5
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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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