Fonction constante et dérivée nulle : un résultat si trivial...Report as inadecuate




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1 AOC - Analyse Optimisation Controle 2 CRREF - Centre de recherches et de ressources en éducation et formation

Abstract : We study various proofs of the caracterization of constant functions, more precisely of the theorem: a derivable function, defined on a real interval, is constant if, and only if, its derivative is null. Our aim is to study the relationships of these proofs with the mathematical curriculum of secondary schools and the begining of undergraduate studies in France, from various point of views epistemological, historical, didactical.

Mots-clés : Théorie anthropologique du didactique site mathématique fonction constante dérivée





Author: Antoine Delcroix - Christian Silvy -

Source: https://hal.archives-ouvertes.fr/



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