for real and y. If f’(0) exists and equals – 1 and f (0) = 1 then the value of f(2) is

If f : R → R is a function such that f (x) = x³ + x² f’(1) + xf’’(2) + f’’’(3) for x Ïµ R then the value of f (2) is

 and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative of |x – 1| at x = 1. If 

If f (x) = |x – 2| and g(x) = f (f (x)), then for x > 20, g’(x) is equal to

If f (9) = 9 and f’(9) = 4, then 

The derivatives of sec ^–1 [1/(2x² – 1)] with respect to  at x = ½, is

Let F(x) = f(x) g(x) h(x) for all real x, where f(x), g(x) and h(x) are differentiable functions. At some point x₀,  

If the function  then the value ofg’(1) is