Mean Value Theorem 1: f(x)=e^x, [0,1]

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Here's a one minute description of the Mean Value Theorem (MVT) and a quick example problem. I hope it helps!
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How about proving if x=y then e^x =e^y using rolle's theorem?

efrensumortin
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It did come on my exam and it didn't come to my mind to take ln for both sides to cancel e :(

mohammedabdullah