For the following function, at a closed interval [0,1], Rolle's Theorem says that:a. At least a number c exists at the interval (0,1) where f'(c) = 0.b. At least a number c exists at the interval [0,1] where f'(c) = 0.c. At least a number c exists at the interval [0,1) where f'(c) = 0.d. At least a number c exists at the interval (0,1] where f'(c) = 0.