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.
The function f (x) = (x2 – 1) |x2 – 3x +2| + cos ( | x | ) is not differentiable at
The number of points in (1, 3), where is not differentiable is:
Let f and g be differentiable function satisfying g’ (a) = 2, g (a) = b andfog = I (identity function)
Then, f ’(b) is equal to: