The number of points in (1, 3), where is not differentiable is:
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
∴ f (x) is not differentiable at 7 points in (1, 3).
Find the points of discontinuity of
Determine the form of g(x) = f ( f (x)) and hence find the point of discontinuity if g, if any.
The left hand derivative of f (x) = [x] sin (πx) at x = k, k is an integer, is:
Which of the following functions is differentiable at x = 0?
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.
, then draw the graph of f (x) in the interval [–2, 2] and discuss the continuity and differentiability in [–2, 2]
Fill in the blank, statement given below let . The set of points where f (x) is twice differentiable is ……………. .
The function f (x) = (x2 – 1) |x2 – 3x +2| + cos ( | x | ) is not differentiable at
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: