Question

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

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: