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yosralol
@yosralol
January 2021
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SVP LES QUESTIONS EN ROSE JE COMPREND RIEN
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no63
Salut
calcul de dérivée
f '(x)= -2x+3
calcul de la tangente au point d'abscisse 2
f(2)= 1 f '(2) = -1 la formule est f ' (a)(x-a)+f(a)
=> -1(x-2)+1
=> T_2= -x+3
position relative courbe tangente
f(x)- T_2
=> -x²+3x-1-(-x+3)
=> -x²+4x-4 ( f '(x) <0)
-x²+4x-4=0
delta=0 une solution x_0=-4/(2*-1) => x_0=2
tableau
x - inf 2 + inf
f(x) -T_2 - 0 -
Cf est en dessous de T_2
1 votes
Thanks 1
yosralol
Merci beaucoup beaucoup
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Lista de comentários
calcul de dérivée
f '(x)= -2x+3
calcul de la tangente au point d'abscisse 2
f(2)= 1 f '(2) = -1 la formule est f ' (a)(x-a)+f(a)
=> -1(x-2)+1
=> T_2= -x+3
position relative courbe tangente
f(x)- T_2
=> -x²+3x-1-(-x+3)
=> -x²+4x-4 ( f '(x) <0)
-x²+4x-4=0
delta=0 une solution x_0=-4/(2*-1) => x_0=2
tableau
x - inf 2 + inf
f(x) -T_2 - 0 -
Cf est en dessous de T_2