Let f be A Real Function Satisfying f (x + y + z) = f (x) f (y) f (z) for All Real x, y, z . If f (2) = 4 And f’ (0) = 3. Then Find f (0) And f’ (2).

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

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 and fog = I (identity function) Then, f’(b) is equal to:

If the function , (where [.] denotes the greatest integer function) is continuous and differentiable in (4, 6), then.

Let [.] denotes the greatest integer function and f (x) = [tan²x], then:

Let h(x) = min.{x; x²} for every real number of x. Then: