Consider the function
  
− ≤
>
=
3x 2, x 2
f (x) x , x 2
2
Which one of the following statements is correct in respect of the above function ?
(a) f(x) is derivable but not continuous at x = 2 (b) f(x) is continuous but not derivable at x = 2
(c) f(x) is neither continuous nor derivable at x = 2 (d) f(x) is continuous as well as derivable at x = 2