Let f and g be twice-differentiable real-valued functions defined on R. If f’(x) > g’(x) for all x > 0, which of the following inequalities must be true for x > 0?
(A) f(x) > g(x)
(B) f”(x) > g”(x)
(C)f(x) – f(0) > g(x) – g(0)
(D) f’(x) – f’(0) > g’(x) – g’(0)
(E) f”(x) – f”(0) > g”(x) – g”(0)