Determine whether the theorem is properly applied to the function below. If not Indicate why not (Pick A-E)
f(x)=sec(x). The mean value theorem applied on the interval [-pi/6, pi/3] implies that there is a point in [-pi/6, pi/3] where f '(x)=(12-4sqrt3)/3pi.
A. There are point(s) on the interval [a,b] where f is not continous.
B. There are point(s) on the interval (a,b) where f is not differentiable.
C. f(a) does not equal f(b) for any distinct a,b in the interval [-pi/6, pi/3].
D. The theorem is properly applied.
E. None of these