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Rolle's Theorem Forums
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Author Topic: Rolle's Theorem  (Read 6330 times)
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« on: August 14, 2009, 03:06:29 AM »

"Assume for now that f(c) # 0 is a maximum. Since f(a) = f(b) = c we know that c is in (a, b), and therefore f is differentiable at c. Note that f(x) f(c) since f(c) is a maximum. "

I think f(a)=f(b)=c  is a typo, it should be f(a)=f(b)=0.

But why c is in(a,b)  then we can get that f is differentiable at c? please explain.

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