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Math Help - Power series

  1. #1
    Junior Member
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    Apr 2009
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    Power series

    Find f^9(0).

    f(x)=xcosx^2

    I'm not sure where to start, then again I don't understand most of the calculus I do...

    but so far I have x(1-\frac{(x^2)^2}{2!}+\frac{(x^2)^4}{4!}-\frac{(x^2)^6}{6!}+...)

    then

    (x-\frac{x^5}{2!}+\frac{x^9}{4!}-\frac{x^13}{6!}+...)

    and I'm guessing I need to write it as a sum. (on the interval of convergence a power series is the taylor series of its sum). But I'm not sure what the question is asking exactly.
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  2. #2
    Junior Member
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    Apr 2009
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    does \frac{9!}{4!}=15120 sound right?
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