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## Homework Statement

Suppose that |f(x) - f(y)| [tex]\leq[/tex] |x - y|

^{n}

for n > 1

Prove that f is constant by considering f '

## Homework Equations

Well

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.

Thanks :)