For a real number y, let [y] denotes the greatest integer less than or equal to y. Then, the function
(a) discontinuous at some x
(b) continuous at all x, but the derivative f'(x) does not exist for some x.
(c) f'(x) exists for all x, but the derivative f(x) does not exist for some x
(d) f'(x) exists for all x