Thread: absolute extrema

Let f(x,y) = x^4 + y^4 -4xy

If f is defined on the closed square region {(x,y) such that -2< or equal x< or equal 2 , -2 < or equal y< equal 2 } . find all absolute maxima and minima of f on this closed region, and find the points at which these extreme values occur.

Originally Posted by littlemu

Let f(x,y) = x^4 + y^4 -4xy

If f is defined on the closed square region {(x,y) such that -2< or equal x< or equal 2 , -2 < or equal y< equal 2 } . find all absolute maxima and minima of f on this closed region, and find the points at which these extreme values occur.

Would you like to clarrify if this question is asking for the maxima and
minima of:

O(x,y) = abs(f(x,y)) on [-2,2]x[-2,2]

or for the actual maximum and minimum of:

f(x,y) on [-2,2]x[-2,2]

RonL

Thank you for your reply.

The question is asking for absolute maxima and minima of f .

I have just solved it. Thanks again.