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Sofian69
@Sofian69
April 2019
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On considère la fonction f définie sur |R par : f(x) = x² - 4x +3
1. Démontrer que la fonction f est décroissante sur l'intervalle ]-
; 2 ].
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Bonsoir,
f(x) = x² - 4x + 3
f '(x) = 2x - 4
racine de f' : 2x - 4 = 0 ===> 2x = 4
===> x = 2
La fonction f est décroissante sur l'intervalle ]-inf
; 2].car f '(x)
≤ 0 sur ]-inf ; 2]
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f(x) = x² - 4x + 3
f '(x) = 2x - 4
racine de f' : 2x - 4 = 0 ===> 2x = 4
===> x = 2
La fonction f est décroissante sur l'intervalle ]-inf ; 2].car f '(x) ≤ 0 sur ]-inf ; 2]