Mean-value theorem question

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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.
 

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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?
 
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mathwonk
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this is just a restatement of the MVT
 

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