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Thread: 2nd derivative test for multi-variable functions

  1. #1
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    2nd derivative test for multi-variable functions

    The determinant of the Jacobian of a function can be used, in 2D anyway, to determine whether stationary points are minima, maxima, or saddle points.

    Is there a corresponding test for higher dimensions? Clearly there will be many types of saddle points but a point either is or is not a local minima or maxima.

    Do the conditions of the 2D test extend to higher dimensions?
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  2. #2
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    Re: 2nd derivative test for multi-variable functions

    Never mind about this. I found some material that answers my question.
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