Q. 33.6( 8 Votes )

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

Answer :

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 & DifferentiabilityConnection B/w Continuity & DifferentiabilityConnection B/w Continuity & Differentiability59 mins
Problems Based on L-Hospital Rule (Quiz)Problems Based on L-Hospital Rule (Quiz)Problems Based on L-Hospital Rule (Quiz)0 mins
When does a Maxima or Minima occur?When does a Maxima or Minima occur?When does a Maxima or Minima occur?48 mins
Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)Super 10 Question: Check Your Knowledge of Maxima & Minima (Quiz)45 mins
Differentiability by using first principleDifferentiability by using first principleDifferentiability by using first principle59 mins
Interactive Quiz | Differentiability by using first principleInteractive Quiz | Differentiability by using first principleInteractive Quiz | Differentiability by using first principle59 mins
Interactive Quiz on LimitsInteractive Quiz on LimitsInteractive Quiz on Limits67 mins
Interactive Quiz | Types of discontinuity of functionsInteractive Quiz | Types of discontinuity of functionsInteractive Quiz | Types of discontinuity of functions58 mins
Questions Based on Maxima & MinimaQuestions Based on Maxima & MinimaQuestions Based on Maxima & Minima57 mins
Existence of Limit, When & Why?Existence of Limit, When & Why?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
caricature
view all courses