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SoniaBzb
@SoniaBzb
April 2019
2
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Etudier les variations de g(x) =
x (4-
)
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Alexlap
Verified answer
Tableau de variation !
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Thanks 0
isapaul
Bonsoir
g(x) = 2x(4 - x²)
sur intervalle [0 ; 2 ]
g(x) = 0 pour x = 0 ou x = 2
g ' (x) = 8 - 6x
g ' (x) = 0 pour x = 8/6 = 4/3
tableau
x 0 4/3 2
g ' (x) positive 0 négative
g(x) 0 croissante 160/27 décroissante 0
0 votes
Thanks 0
SoniaBzb
Ok merci beaucoup ! :)
SoniaBzb
Attend vu que c'est 2x fois (4-x²) la fonction dérivé c'est pas 6x²-8 plutot ?
isapaul
Mille excuses c'est bien g ' (x) = 8 - 6x² donc g ' (x) = 0 pour x = V(8/6)
SoniaBzb
Cest pas grave, merci :)
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Verified answer
Tableau de variation !g(x) = 2x(4 - x²)
sur intervalle [0 ; 2 ]
g(x) = 0 pour x = 0 ou x = 2
g ' (x) = 8 - 6x
g ' (x) = 0 pour x = 8/6 = 4/3
tableau
x 0 4/3 2
g ' (x) positive 0 négative
g(x) 0 croissante 160/27 décroissante 0