# 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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Connection B/w Continuity & Differentiability59 mins
Problems Based on L-Hospital Rule (Quiz)0 mins
When does a Maxima or Minima occur?48 mins
Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)45 mins
Differentiability by using first principle59 mins
Interactive Quiz | Differentiability by using first principle59 mins
Interactive Quiz on Limits67 mins
Interactive Quiz | Types of discontinuity of functions58 mins
Questions Based on Maxima & Minima57 mins
Existence of Limit, When & Why?59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses