Suppose h(x) = [f(x)]3 + [g(X)]3 where f(n) and g(n) are each differentiable for all n ≥ 0; (recall that f (n) and g(n) represent the nth derivative of f and g, respectively) with f(3) = -5 f’(3) =2 g(3) = 2 f’(3) = 4

OK, I'll suppose that. So what?

and your notation is confusing, to say the least.