Two differentiate functions that differ by a constant always have the same derivative. Choose the correct answer below. A. True, given some f(x) and g(x) with g(x) = f(x) + k, with k constant, then the derivative of f(x) is f'(x) and since the derivative of any constant is 0, the derivative of g(x) is also f'(x). B. False, given some f(x) and g(x) with g(x) = f(x) + k, with k constant, then the derivative of f(x) is f'(x), and the derivative of g(x) is f'(x) + k. C. True, given some f(x) and g(x) with g(x) = f(x) + k, with k constant, then the derivative of f(x) is f'(x), and the derivative of g(x) is f'(x) + k.