alleryRolle's theorem requires that $f$ be continuous on $[a,b]$, differentiable on $(a,b)$ and:
A$f(a) = 0$
B$f'(a) = f'(b)$
C$f(a) > f(b)$
D$f(a) = f(b)$
Answer & Solution
Correct answer: D. $f(a) = f(b)$
Rolle's theorem also needs the endpoint values equal: f(a) = f(b).
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