The Domain Of The Derivative Of The Function            

If f(a) = 2, f’(a) = 1, g(a) = –1 and g’(a) = 2, the value of

If  is differentiable at x = 0, then

If f’ is differentiable function and f’’(x) is continuous at x = 0 and f’’(0) =a, the value of  

Let [.] denote the greatest integer function and . Then

Let f (x + y) = f (x) f (y) for all x and y. If f (5) = 2 and f’(0) = 3, then f’(5) is equal to

Let f (x) = [x] and

Let

The values of the coefficient a and b for which the function is continuous and has a derivative at x₀, are

Given f’(2) = 6 and f’(1) = 4.  

Let f : R âŸ¶ R be such that f(1) = 3 and f’(1) = 6. Then

If f (0) = 0, f’(0) = 2 then the derivative of  at x = 0 is