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Application of Rolle's Theorem

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Please solve the problem to the specified answer and please provide as much explanation of each step as possible. Thanks.

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's theorem can be applied, find all values of c in the open interval (a,b) such that f'(c) = 0.

f(x) = sin x, [0, 2pi]

Answer: f'(pi/2) = 0; f'(3pi/2) = 0

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Solution Summary

A given problem is solved applying Rolle's theorem

Solution Preview

f(x)=sinx is continuous function on the specified interval [0, 2pi].
Its derivative f'(x)=cosx exists for all values of x ...

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