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April 17, 2014

Homework Help: Calculus Find max and min and saddle

Posted by Lucy on Tuesday, February 28, 2012 at 12:43am.

Find and classify all local min and maxima and saddle points of the function f(x,y)=/3yx^2-3xy^2+36xy

I know there are 3 saddle points and one maxima.

This is what I got:
D=FxxFyy-(Fxy)^2
= 36xy-36(x+y-6)^2

But how do i solve for zero?? Im lost on this one. Please help me figure out these points??

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