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Taylor polynomials

  1. Oct 30, 2012 #1
    1. The problem statement, all variables and given/known data

    Find T4(x), the Taylor polynomial of degree 4 of the function f(x)=arctan(11x) about x=0.
    (You need to enter a function.)


    2. Relevant equations

    The taylor polynomial equation

    Tn(x)= f(x)+(fn(x)(x-a)^n)/n!.....

    3. The attempt at a solution

    When I take every derivative of f(x)=arctan(11x) I always end up with an x in the numerator, so when i plug in 0 for x my derivative ends up with 0, so theoretically the answer would just be arctan(11x) which is wrong.

    This is what I am getting for my first few derivatives

    F'(x)=22x/(11x^2+1)
    F''(x)=-484x^2/(11x^2+1)^-2

    what am i doing wrong?
     
  2. jcsd
  3. Oct 31, 2012 #2

    lurflurf

    User Avatar
    Homework Helper

    Those are all wrong.
    F'(x)=11/(121x^2+1)
    only the odd derivatives will vanish
     
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