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[/img][/center][br][justify]Graphiquement, le taux moyen de variation correspond à la pente de la droite [math]s[/math] passant par les points [math]A(a;f(a))[/math] et [math]B(a+h;f(a+h))[/math], appelée sécante. [br][br][/justify]
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[/img][/center][br]Lorsque [math]h\longrightarrow0[/math], la sécante est appelée la tangente au graphique de [math]f[/math] au point [math]A(a;f(a))[/math]. La pente de la tangente est appelé [u]nombre dérivé[/u] au point [math]A(a;f(a))[/math].[br][br]
[list][*]Les points [math]A[/math] et [math]B[/math] sont représentés sur le graphique ci-dessous.[/*][*]La sécante est tracée en bleu et la tangente en rouge.[br][/*][*]Il est possible de déplacer les points en cliquant directement dessus et de modifier la distance horizontale [math]h[/math] entre les points en faisant varier le curseur. La pente de la sécante et la pente de la tangente s'affichent sur le côté gauche de l'écran. Cet affichage permet de voir le rapprochement entre les deux lorsque le pas [math]h\longrightarrow0[/math][/*][/list]