﻿ The number of points in (1, 3), where is not differentiable is: : Kaysons Education

The Number Of Points In (1, 3), Where is Not Differentiable Is:

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Question

Solution

Correct option is

7

Let g (x) = x2. Then, g (x) is an increasing function on (1, 3) such that g (1) = 1 and g (3) = 9. Clearly, [g (x)] = [x2] is discontinuous and hence non-differentiable at

∴ (x) is not differentiable at 7 points in (1, 3).

SIMILAR QUESTIONS

Q1

Find the points of discontinuity of

Q2

Determine the form of g(x) = f ( f (x)) and hence find the point of discontinuity if g, if any.

Q3

The left hand derivative of f (x) = [x] sin (πx) at x = kk is an integer, is:

Q4

Which of the following functions is differentiable at x = 0?

Q5

Let f (x) = [n + p sin x], x Ïµ (0, π), n Ïµ Z and p is a prime number, where [.] denotes the greatest integer function. Then find the number of points where f (x) is not Differential.

Q6

, then draw the graph of f (x) in the interval [–2, 2] and discuss the continuity and differentiability in [–2, 2]

Q7

Fill in the blank, statement given below let . The set of points where f (x) is twice differentiable is ……………. .

Q8

The function f (x) = (x2 – 1) |x2 – 3x +2| + cos ( | | ) is not differentiable at

Q9
Q10

Let f and g be differentiable function satisfying g’ (a) = 2, g (a) = b and fog = I (identity function) Then, f’(b) is equal to: