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March 30th, 2010, 11:14 PM   #1
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Extremum of two variables function

Please help in finding the extremum of the given function.


Finding partial derivatives leads to the system of equations

and I'm stuck here.

Thank you.
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March 30th, 2010, 11:19 PM   #2
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Re: Extremum of two variables function

Sorry for triple-post.
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March 31st, 2010, 06:22 PM   #3
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Re: Extremum of two variables function

Quote:
Originally Posted by lime
Please help in finding the extremum of the given function.


Finding partial derivatives leads to the system of equations

and I'm stuck here.

Thank you.
It looks like you can quickly get (17x-6y)/5=(42x-17y)/8, which gives you a linear relationship between x and y. Then using it in one of your original equations give you a quadratic to solve.
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April 7th, 2010, 12:24 PM   #4
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Re: Extremum of two variables function

mathman, thank you very much!
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