Let h(x) = Min.{x; x2} For Every Real Number Of x. Then:

, 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 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 : R → R be a function defined by f (x) =  max. {x; x³}. The set of all points where f (x) is not differentiable is: