A Proof of Darboux's Theorem

Author: Nadler   Jr. Sam B.  

Publisher: Mathematical Association of America

ISSN: 1930-0972

Source: American Mathematical Monthly, Vol.117, Iss.2, 2010-02, pp. : 174-175

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Abstract

We offer a simple, transparent proof that derivatives have the intermediate value property (Darboux's theorem) that we feel shows systematically and conceptually why the theorem is true.