Results 1 to 2 of 2

Thread: Maclaurin series and 50th derivative

  1. #1
    Newbie
    Joined
    Nov 2017
    From
    California
    Posts
    2

    Question Maclaurin series and 50th derivative

    The question I'm stuck on reads: Find the Maclaurin series for f(x)=sin(4x)+(6/(1-4x2)) and use that to find f(50) (0).

    I know I can write both terms as separate power series from n=0 to infinity, but I'm stuck on how to find the 50th derivative given that. Thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,925
    Thanks
    2491

    Re: Maclaurin series and 50th derivative

    $f(x) = \sum \limits_{k=0}^\infty ~f^{(k)}(0)\dfrac{x^k}{k!} = \sum \limits_{k=0}^\infty~c_k x^k$

    $c_k =\dfrac{ f^{(k)}(0)}{k!}$

    so

    $f^{(50)}(0) = 50! \cdot c_{50}$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: Dec 9th 2012, 08:12 PM
  2. Replies: 0
    Last Post: Jan 26th 2010, 09:06 AM
  3. Maclaurin Series - find nth derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Oct 17th 2009, 01:29 PM
  4. Replies: 2
    Last Post: Sep 16th 2009, 08:56 AM
  5. Replies: 1
    Last Post: May 5th 2008, 10:44 PM

Search Tags


/mathhelpforum @mathhelpforum