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??

Calculus Find max and min and saddle - MathMate, Tuesday, February 28, 2012 at 7:37am
First you'd have to find the local maxima/minima. If you have obtained the (four) points, then you can use the second derivative test to determine if each one is a maximum/minimum or saddle point.

Have you found the critical points?

(Unfortunately the definition of f(x,y) above does not seem to be complete.)

Note:singular: maximum, plural: maxima.

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