Show that is differentiable at x = 3. Also, find f’(3).

For differentiability,


LHD(at x = 3) = RHD (at x = 3)


(LHD at x = 3) =


=


=


=


=


= 12


(RHD at x = 3) =


=


=


=


=


=


= 12


Since, (LHD at x = 3) = (RHD at x = 3)


Hence, f(x) is differentiable at x = 3.


3