f'=0 a.e => f constant ?

From: Julien Santini (santini.julien_at_wanadoo.fr)
Date: 09/01/04


Date: Wed, 1 Sep 2004 16:32:36 +0200

Hello

How could I show that if f is absolutely continuous, almost everywhere
differentiable on the interval (a,b) and such that f '(x)=0 a.e, then f is
constant ?

--
Julien Santini