Application of Rolle's Theorem
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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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