Results 1 to 2 of 2

Math Help - prove one function is less than other with mean value theorem

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    Pacific
    Posts
    7

    prove one function is less than other with mean value theorem

    Suppose that f and g are continuous on [a, b] and differentiable on (a, b). Suppose also that f(a) =g(a) and f′(x)< g′ (x) for a < x < b. Prove that f(b)< g(b). [Hint: Apply the Mean Value Theorem to the function h=f−g.]
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: prove one function is less than other with mean value theorem

    Have you tried to apply it? If yes, show your work ...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove the theorem.
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: January 18th 2015, 04:18 PM
  2. Replies: 3
    Last Post: February 9th 2013, 01:59 PM
  3. Prove a theorem
    Posted in the Advanced Applied Math Forum
    Replies: 4
    Last Post: February 21st 2011, 09:15 AM
  4. Prove Wilson's theorem by Lagrange's theorem
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: April 10th 2010, 01:07 PM
  5. Replies: 0
    Last Post: November 13th 2009, 05:41 AM

Search Tags


/mathhelpforum @mathhelpforum