Suppose that the function f: R^n --> R is continuously differentiable. Let x be a point in R^n. For p a nonzero point in R^n and alpha a nonzero real number, show that
A function f: I --> R, defined on an open interval, is called continuously differentiable provided that it is differentiable and its derivative is continuous.
The Attempt at a Solution
Unfortunately, I do not have one. Which is why I am in dire need of help. I don't know where to begin. By the way, sorry for the horrible formatting, I am new to the forums.
Edit: Okay, I might have an attempt at a solution.