If f (x) = x + Tan x and g(x) Is The Inverse Of f (x) Then g’ (x) Is Equal To:

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

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:

Let f (x) = Ï•(x) + ψ(x) and Ï•’(a), ψ’(a) are finite and definite. Then:

If f (x) is differentiable function and (f (x). g(x)) is differentiable at x = a, then