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Math Help - Stationary Points - more?

  1. #1
    Member billym's Avatar
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    Stationary Points - more?

    Find and classify the stationary points:

    f(x,y)=xy+x^{-1}+y^{-2}

    f_x=y-x^{-2}

    f_y=x-y^{-2}

    f_x=0\Rightarrow y-\frac{1}{x^2}=0

    f_y=0\Rightarrow x-\frac{1}{y^2}=0

    Is (1,1) the only stationary point?

    Can (0,0) be a stationary point?
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  2. #2
    Member billym's Avatar
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    ...
    Last edited by billym; October 6th 2009 at 09:02 AM. Reason: oops
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