Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.
f(x) = \cos 5x; \left[\frac{\pi}{10}, \frac{3\pi}{10}\right]
Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c =
(Type exact answer(s). Use a comma to separate answers as needed.)
B. Rolle's Theorem does not apply.