Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Mean-value theorem question

  1. Nov 17, 2004 #1
    Use the mean-value theorem to show that if f is continuous at x and x+h and differentiable in between, then

    f(x+h)-f(x) = f ' [x+ (delta) (h)] h

    for some number delta between 0 and 1.
     
  2. jcsd
  3. Nov 18, 2004 #2

    shmoe

    User Avatar
    Science Advisor
    Homework Helper

    If you apply the mean value theorem to f on the interval [x,x+h] what do you get? How does this differ from what you are after?
     
  4. Nov 23, 2004 #3

    mathwonk

    User Avatar
    Science Advisor
    Homework Helper
    2015 Award

    this is just a restatement of the MVT
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Mean-value theorem question
Loading...