Results 1 to 4 of 4

Math Help - Mean Value Theorem

  1. #1
    mlb
    mlb is offline
    Newbie
    Joined
    Mar 2011
    Posts
    3

    Mean Value Theorem

    I'm not the greatest conceptual thinker and having a hard time starting this problem. Is the mean value theorem applied or will I use something else?


    Let and be differentiable functions on [a,b] where (a)=(a) and (b)=(b). Prove that there is at least one value c in (a,b) where the tangent line to at c is parallel to the tangent line to at c.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,199
    Thanks
    1789
    Look at the function h(x)= f(x)- g(x). Then h is differentiable, h(a)= f(a)- g(a)= 0, and h(b)= f(b)- g(b)= 0. Apply Rolle's theorem (a special case of the mean value theorem) to h.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    mlb
    mlb is offline
    Newbie
    Joined
    Mar 2011
    Posts
    3
    Thanks for the quick response! I'll go try that right now
    Follow Math Help Forum on Facebook and Google+

  4. #4
    mlb
    mlb is offline
    Newbie
    Joined
    Mar 2011
    Posts
    3
    After reviewing the problem and looking at my notes, I'm still kind of confused how to apply Rolle's theorem without being given numbers.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: January 10th 2011, 09:51 AM
  2. Replies: 3
    Last Post: May 14th 2010, 11:04 PM
  3. Replies: 2
    Last Post: April 3rd 2010, 05:41 PM
  4. Replies: 0
    Last Post: November 13th 2009, 06:41 AM
  5. Replies: 2
    Last Post: June 14th 2007, 07:35 AM

Search Tags


/mathhelpforum @mathhelpforum