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Sign of second derivative from contour

  1. Feb 29, 2012 #1
    1. The problem statement, all variables and given/known data

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    2. Relevant equations



    3. The attempt at a solution

    At (-1, -5), moving up along y causes a drop in the value of the function, so the first derivative wrt y is negative.

    Since the contour lines also get closer in this direction, the function is dropping at in increasing rate, so the second derivative yy is negative.

    Is that all there is to it?
     

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  2. jcsd
  3. Feb 29, 2012 #2

    Dick

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    That sounds right to me.
     
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