Solution:
We have
Clearly, is discontinuous at
So, it is not differentiable at these points.
At , we have
So, it is continuous at .
Also, (RHD at (a finite number).
Therefore, is differentiable at
The set of points where the function
where denotes the greatest integer function, is not differentiable, is
We have
Clearly, is discontinuous at
So, it is not differentiable at these points.
At , we have
So, it is continuous at .
Also, (RHD at (a finite number).
Therefore, is differentiable at