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Math Help - Geometry question

  1. #1
    Member
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    Geometry question

    I am trying to find the set of points for which the maximum value of the curvature

    K={3} { (x^{-2}+y^{-2}+z^{-2})^{-2} }

    occurs for the function xyz=1

    I have equated the gradients and subject to the restriction of the function xyz=1 i only get one solution the point (1,1,1), since when i solve the equations i get x^3=y^3=z^3

    but i am not sure if i have done this correctly.Anyway any help would be appreciated.
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  2. #2
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