Results 1 to 3 of 3

Math Help - Trouble understanding Taylor polynomial

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    6

    Trouble understanding Taylor polynomial

    Hi There,

    Below is an answer from one of my assignments. I am trying to understand the answer however i am stuck on the parts as listed below.

    I have been through my books and online a thousand time but i just cant get my head around this. Your help will be very much appreciated!

    Rearrange to the form
    y′ = 2x2 − y2 (1)

    and evaluate at x = 0:
    y′(0) = −y2(0) = −4 .

    Differentiate (1): How does this differentiate?
    y′′ = 4x − 2yy′ (2)

    from where
    y′′(0) = −2y(0)y′(0) = 16 .

    Now differentiate (2):
    y′′′ = 4 − 2(y′)2 − 2yy′′ (3) And this one also?

    from where
    y′′′(0) = 4 − 2(y′(0))2 − 2y(0)y′′(0) = −92 .

    Differentiate (3):
    y′′′′ = −4y′y′′ − 2y′y′′ − 2yy′′′ (4) And again?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Oct 2008
    Posts
    6
    OK i get most of it now. Implicit differentiation is the key.

    I still cant quite understand how -2(y')^2 differentiates to -4y'y''
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    6
    Ive worked it out, Thanks anyway.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Trouble understanding Subspaces
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 30th 2010, 12:37 AM
  2. Having some trouble understanding ideals...help?
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 27th 2010, 06:38 PM
  3. Trouble understanding combinations
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 13th 2010, 03:05 PM
  4. Replies: 3
    Last Post: April 11th 2009, 05:06 PM
  5. Having trouble understanding this example
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: March 21st 2009, 12:33 AM

Search Tags


/mathhelpforum @mathhelpforum