Results 1 to 3 of 3

Math Help - need help! using newton's method

  1. #1
    Junior Member
    Joined
    Oct 2006
    Posts
    71

    need help! using newton's method

    need help....
    Attached Thumbnails Attached Thumbnails need help! using newton's method-image1.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,804
    Thanks
    115
    Hi,

    I assume that you know Newton's rule.
    x_{n+1}=x_{n}-\frac{f(x_n)}{f'(x_n)}

    With your function this formula becomes:

    x_{n+1}=x_{n}-\frac{x_n^3-x_n^2-1}{3x_n^2-2x_n}

    Now x_1 = 1. Thus

    x_{2}=1-\frac{1-1-1}{3-2}= 2

    x_{3}=2-\frac{8-4-1}{12-4}= 1.625

    ...

    x_{7}\approx 1.465571232

    EB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,804
    Thanks
    115
    Hi, it's me again. I've modified your image so you can see the first steps how the value is calculated by Newton's method. The red and blue lines are tangents.
    Attached Thumbnails Attached Thumbnails need help! using newton's method-newtonmeth1.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Newton's method
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 16th 2010, 02:46 AM
  2. Newton's Method
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 18th 2008, 07:25 AM
  3. Newton method help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 21st 2008, 09:00 PM
  4. Newton's Method
    Posted in the Calculus Forum
    Replies: 7
    Last Post: December 12th 2007, 08:53 AM
  5. Newton's Method
    Posted in the Calculus Forum
    Replies: 8
    Last Post: April 15th 2007, 09:38 PM

Search Tags


/mathhelpforum @mathhelpforum