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Math Help - absolute extrema

  1. #1
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    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.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by littlemu View Post
    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
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  3. #3
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    Thank you for your reply.

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

    I have just solved it. Thanks again.
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