Use Corollary 2 of the MVT to show that if f (x) is differentiable for all x R and
Chapter 5, Problem 55(choose chapter or problem)
Use Corollary 2 of the MVT to show that if f (x) is differentiable for all x R and satisfies | f (x) f (y)| |x y|2 (5.3) for all x, y R, then f (x) is constant. [: Show that (5.3) implies that lim xy f (x) f (y) x y = 0 (5.4) and use the definition of the derivative to interpret the left-hand side of (5.4).]
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer