Suppose that |f(x) - f(y)| [tex]\leq[/tex] |x - y|n
for n > 1
Prove that f is constant by considering f '
f'(a) = limit as x->a [f(x) - f(a)]/[x-a]
The Attempt at a Solution
I'm really not sure how the derivative of "f" is going to show that "f" is constant since I cannot actually calculate the derivative.
Any help or hints would be greatly appreciated, this ones got me stumped.