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Expanding taylor polynomial

  1. Apr 9, 2010 #1
    1. The problem statement, all variables and given/known data
    Derive a method for approximating f'''(x0) whose error term is of order [tex]h^{2}[/tex] by expanding the function f in a fourth taylor polynomial about x0 and evaluating at [tex]x_{0} \pm h[/tex] and [tex]x_{0} \pm 2h[/tex].

    2. Relevant equations

    3. The attempt at a solution

    I'm not sure where to start.
  2. jcsd
  3. Apr 10, 2010 #2


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    Staff Emeritus
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    Sounds like you should start by using Taylor's formula on the two expressions [itex]f(x_0+h)[/itex] and [itex]f(x_0+2h)[/itex].
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