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Proff of the Numerical Derivative

  1. Jul 31, 2009 #1
    1. The problem statement, all variables and given/known data

    Proff that f´(x) = the lim of delta x approaching to 0 of

    f (a + delta x) - f (a -delta x) / 2 delta x


    2. Relevant equations



    3. The attempt at a solution

    the book hinted me that I should solve it in this way


    f (a + delta x) - f (a) + f (a) - f (a - delta x) / 2 delta x

    but im stuck here and I dont know how to proff this. I d appreciate some help, thanks a lot in advance.
     
  2. jcsd
  3. Jul 31, 2009 #2

    D H

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    Staff Emeritus
    Science Advisor

    The word is prove, not proff.

    Anyhow, try it with

    [tex]\frac 1 2 \,\frac {f(a+\Delta x) - f(a) \,\,\,+\,\,\, f(a) - f(a-\Delta x)}{\Delta x}[/tex]
     
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