Q. 95.0( 1 Vote )

# Choose the correct answer.If f(x) = a |sinx| + b e|x| + c|x3| and if f(x) is differentiable at x = 0, thenA. a = b = c = 0B. a = 0, b = 0, c ϵ RC. b = c = 0, a ϵ RD. c = 0, a = 0, b ϵ R

Given that f(x) = a |sinx| + b e|x| + c|x3| and f(x) is differentiable at x = 0.

LHD = RHD at x = 0.

By L’Hospital Rule,

-(a+b) = a+b

-2(a+b) = 0

a + b =0

This is the value for all c € R.

Hence, option B is correct.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Problems Based on L-Hospital Rule (Quiz)0 mins
When does a Maxima or Minima occur?48 mins
Connection B/w Continuity & Differentiability59 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
Maxima & Minima in an interval60 mins
Existence of Limit, When & Why?59 mins
Questions based on Maxima & Minima in an interval59 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