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December 9th, 2012, 07:25 AM   #1
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Find the smallest and largest value of this function

x,y,z > 0 and (x+y+z)^3=32*xyz.
Find the smallest and largest value of this function:
f(x,y,z)=(x^4+y^4+z^4)/(x+y+z)^4 .
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December 12th, 2012, 08:55 AM   #2
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Re: Find the smallest and largest value of this function

I would suggest Lagrange multipliers...do you know how to set this up?
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