1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Proving with mean value theorem

  1. Jan 4, 2005 #1
    Suppose that g(a) = g'(a)=0 and |g''(x)| < M for all x in [a, a+h] (for some positive constant M). Show that |g(a+h)| < Mh^2.
    (Hint: Let k be any number such that 0<= k <= h and apply Mean Value Theorem to g' on [a,a+k].)
  2. jcsd
  3. Jan 4, 2005 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Well, what does the mean value theorem say, and what does it imply when you use it as hinted?
  4. Jan 4, 2005 #3
    I'd also keep in mind the definition of a derivative.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Proving with mean value theorem
  1. Mean value theorem! (Replies: 4)

  2. Mean Value Theorem (Replies: 4)