Determine a and b such that f (x) is continuous at x = 0.
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:
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.
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