Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
Let the real-valued function f be differentiable on the open interval (0, 1). How do i prove that if its derivative f is bounded, then f extends to a...
Let the real-valued function f be differentiable on the open interval (0, 1). How do i prove that if its derivative f′ is bounded, then f extends to a continuous function on the closed interval [0, 1]?