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

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

Determine the value of ‘a’ if possible, so that the function is continuous at x = 0.

 for all real x and y. If f ’ (0) exists and equals to –1and f (0) = 1, find f ’(x).