Q. 165.0( 1 Vote )

Choose the correct answer.

Let f(x) = |sin x|. Then,

A. f(x) is everywhere differentiable.

B. f(x) is everywhere continuous but not differentiable at x = nπ, nϵZ

C. f(x) is everywhere continuous but not differentiable at x = (2n +1) π/2, nϵZ.

D. none of these

Answer :

Given that f(x) = |sin x|

From the graph it is evident that it is continuous everywhere but not differentiable at x = nπ, nϵZ

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

Differentiability by using first principle59 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

Interactive Quiz on Limits67 mins

Interactive Quiz | Differentiability by using first principle59 mins

Maxima & Minima in an interval60 mins

Interactive Quiz | Types of discontinuity of functions58 mins

Questions Based on Maxima & Minima57 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

Choose the correct answer.Let f(x) = |sin x|. Then, A. f(x) is everywhere differentiable.B. f(x) is everywhere continuous but not differentiable at x = nπ, nϵZC. f(x) is everywhere continuous but not differentiable at x = (2n +1) π/2, nϵZ.D. none of these