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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

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    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

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    this is just a restatement of the MVT
     
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