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Small slope approximation

  1. Jul 3, 2009 #1
    Hi all, if you have a small slope approcimation, what can you say about the curvature? and higher derivatives of the slope?
  2. jcsd
  3. Jul 4, 2009 #2


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    You aren't getting any responses to this. It might help if you would explain what you mean by "small slope approximation". Approximation to what?
  4. Jul 21, 2009 #3
    Thanks for helping me. By small slope approximation, I mean the slope dy/dx is assumed to be small.

    The confusion I am having now is: If we assume dy/dx to be small, can we say anything about d^2y/dx^2? or y itself?

    Can I say that dy/dx is of order (y/x), d^2y/dx is of order (y/x^2) and etc.?
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