Results 1 to 2 of 2

Math Help - Leibnitz rule

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    5

    Leibnitz rule

    Hi all,

    I'm preparing for my exam and I have no idea how to do this kind of question.


    part a) Let y= (1-x^2)^1/2 .arccosx. Show that (1-x^2)y' +xy +1-x^2 = 0

    part b) Apply the Leibnitz rule to differentiate the equation in part a) n times with respect to x to obtain y(n+1) in terms of y(n-1)


    part c) Use the result in Part b to evaluate the Maclaurin series of y up to x^4 .

    I can do Part a) only but dunno how to do part b and c...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by dimeola View Post
    Hi all,

    I'm preparing for my exam and I have no idea how to do this kind of question.


    part a) Let y= (1-x^2)^1/2 .arccosx. Show that (1-x^2)y' +xy +1-x^2 = 0

    part b) Apply the Leibnitz rule to differentiate the equation in part a) n times with respect to x to obtain y(n+1) in terms of y(n-1)


    part c) Use the result in Part b to evaluate the Maclaurin series of y up to x^4 .

    I can do Part a) only but dunno how to do part b and c...
    Leibnitz rule

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Leibnitz notation: treating it as a quotient
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 19th 2011, 12:56 PM
  2. The Leibnitz rule for exponential function?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 24th 2009, 05:01 AM
  3. Series: test Leibnitz
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 13th 2009, 10:22 AM
  4. Leibnitz Formula.
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 21st 2009, 10:50 AM
  5. Leibnitz Rule
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 22nd 2007, 10:05 AM

Search Tags


/mathhelpforum @mathhelpforum