Check it out. Rolles theorem is not applicable. Can you see why?.
Hint: Complex number.
I would like to know, when could Rolle's theorem be applied? The book focused on it briefly(not enough), Well, here is a problem: f(x)=(x^(1/3))-1 on[-8,8]. (oddly enough), it only ask if Rolle's theorem can be applied in this case?
Au contrare!
-Dan