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Math Help - Divided Differences

  1. #1
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    Divided Differences

    Let Xo < X1 < ....... < Xn and let f(x) be continuously differentiable. Show that:

    d/dxi f[Xo.......Xn] = f[Xo.......Xi,Xi+1......Xn]

    I have absolutely no idea how to go about this one. Can I get some hints pleasE?
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  2. #2
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    ok, so the only relevant divided difference theorem is


    Theorem
    Let f be n times continuously differentiable on [a; b], and let x0; x1; : : : ; xn be distinct
    points in
    [a; b]. Then there exists a number eta in[a; b] such that

    f
    [x0; x1; : : : ; xn] = f(n)(eta)/n!

    any hints?



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  3. #3
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    Unhappy

    I'm really really really stuck on this Q since morning. Please, please, please help!
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  4. #4
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    Mumbai, India
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    you have to show some of your work before people jump in to help you....
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