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Calculus/Differential Calculus
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Rolles Theorem Application

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According to Rolle's theorem, if a function is continuous on the closed interval from a to b, differentiable on the open interval from a to b, and the values f(a) and f(b) both equal 0, then:
A

the function must be constant.

B

at some point between a and b, the instantaneous rate of change must be 0.

C

at some point between a and b, the function must equal 0.

D

Rolle's theorem does not apply.

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