If The Function , (where [.] Denotes The Greatest Integer Function) Is Continuous And Differentiable In (4, 6), Then.

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:

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