Results 1 to 4 of 4

Math Help - Rolle's Theorem

  1. #1
    Junior Member
    Joined
    Dec 2009
    Posts
    27

    Rolle's Theorem

    Could someone please walk me through how I use Rolle's Theorem to find c for:

    f(x) = x^3 - x^2 - 2x + 7

    [ 0 , 2 ]




    Sorry about the formatting, I don't know how to write latex code.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Apr 2009
    From
    México
    Posts
    721
    Notice f(0)=f(2) so Rolle's theorem gives a c\in [0,2] with f'(c)=0. If you want the value of such a c, notice f'(x)=3x^2-2x-2 and solve this quadratic polynomial.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2009
    Posts
    27
    So basically f'(c) = 0 so i set f'(x) = 0 and solve and the answer is c? So the answer is 1.2153 because -0.5486 is not on the interval [0,2]. Right?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,234
    Thanks
    27
    If they are the solutions then the logic is fine.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rolle's Theorem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 25th 2010, 04:52 AM
  2. rolle's theorem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 29th 2008, 05:59 PM
  3. intermediate value theorem/rolle's theorem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: December 8th 2007, 01:55 PM
  4. Rolle's Theorem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 26th 2007, 07:46 AM
  5. Rolle's Theorem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 7th 2007, 06:49 PM

Search Tags


/mathhelpforum @mathhelpforum