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Intuition for the second spatial derivative

  1. Apr 24, 2014 #1

    joo

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    Hello !

    Could you please give me some kind of intuition of the physical meaning of the second spatial derivative ?

    I see it all the time, but I have difficulty comprehending it to the same level I have done with the second time derivative.

    Thanks !
     
  2. jcsd
  3. Apr 24, 2014 #2

    Simon Bridge

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    y=f(x)

    y' is how the slope of f(x) varies with x
    y'' is how the curvature of f(x) varies with x

    i.e. you have a landscape with a hill in it, then y'(x) is how steep the hill is, and y''(x) is how curvey it is.
     
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