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Green Text 1,1,"FONCTION EXPONENTIELLE"·
Text 8,9,"[1] DEFINITION"·
Text 14,9,"[2] CONTINUITE/DERIVABILITE"·
Text 20,9,"[3] REGLES DE CALCUL"·
Text 26,9,"[4] DERIVEE DE COMPOSEE"·
Text 32,9,"[5] LIMITES"·
Text 38,9,"[6] EXPONENTIELLE DE BASE a"·
Text 44,9,"[7] RACINE Nieme"·
Text 50,9,"[8] EQUATIONS DIFFERENTIELLES"·
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Lbl 1·
Text 1,5,"DEFINITION"·
Text 15,1,"La fonction exponentielle est"·
Text 21,1,"definie par f(0)=1 et f'=f"·
Text 30,1,"On la note ex"·
Text 40,1,"ex>0 pour tout xR"·
Green Text 57,50,"[EXE]:RETOUR MENU"·
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Lbl 2·
Green Text 1,5,"CONTINUITE/DERIVABILITE"·
Text 20,1,"La fonction exponentielle est"·
Green Text 26,1,"continue et derivable sur R"·
Text 34,1,"e' = e"·
Green Text 57,50,"[EXE]:RETOUR MENU"·
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Lbl 3·
Green Text 1,5,"REGLES DE CALCUL"·
Text 12,1,"ex>0 pour tout xR"·
Text 20,1,"e(a+b) = ea + eb"·
Text 28,1,"e(a-b) = ea/eb"·
Text 36,1,"e(-a) = 1/ea"·
Text 44,1,"e(na) = [ea]n, nZ"·
Text 52,1,"e0 = 1"·
Green Text 57,50,"[EXE]:RETOUR MENU"·
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Lbl 4·
Green Text 1,5,"DERIVEE DE COMPOSEE"·
Text 20,1,"u fonction derivable sur I"·
Text 30,1,"+ e(u) est derivable sur I"·
Green Text 40,1,"+ [e(u)]' = u' À e(u)"·
Green Text 57,50,"[EXE]:RETOUR MENU"·
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Lbl 5·
Text 1,5,"LIMITES"·
Text 11,1,"Lim [e(x)/xn] = +oo"·
Text 16,1,"x->+oo"·
Text 25,1,"Lim [e(x)Àxn] = 0"·
Text 30,1,"x->-oo"·
Text 40,1,"Les fctns expo. l'emportent"·
Text 46,1,"sur les fns puissance"·
Text 52,1,"en -oo et +oo"·
Green Text 58,1,"[EXE]:RETOUR MENU"·
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Lbl 6·
Text 1,5,"EXPONENTIELLE DE BASE a"·
Green Text 10,1,"ax = e(x.ln a) pour a>0"·
Text 18,1,"les formules des puissances"·
Text 24,1,"entieres sont valables pour"·
Text 30,1,"les puissances reelles"·
Text 40,1,"> derivable sur R :"·
Green Text 46,1,"(ax)' = ln aÀax"·
Text 52,1,"> pour a>0 et xR, ax>0"·
Green Text 58,1,"[EXE]: RETOUR MENU"·
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Lbl 7·
Text 1,5,"FONCTION RACINE Nieme"·
Green Text 10,1,"fn(x)= x=x(1/n) pour x>0"·
Green Text 7,24,"n"·
Green Text 16,1,"fn(0) = 0"·
Text 24,1,"> fn est derivable sur ]0;+oo["·
Green Text 30,1,"fn'(x) = (1/n)x[(1/n)-1]"·
Text 40,1,"> on ecrit aussi :"·
Green Text 50,1," x = e(ln x/n)"·
Green Text 47,1,"n"·
Green Text 58,1,"[EXE]:RETOUR MENU"·
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Lbl 8·
Text 1,5,"EQUATION DIFFERENTIELLE"·
Text 10,1,"y' = ay    "·
Text 18,1,"fonctions solution de la forme :"·
Green Text 25,20,"f(x) = k.e(ax) avec kR    "·
Text 34,1,"AVEC UNE CONDITION INITIALE"·
Text 42,1,"f(xo) = yo "·
Text 48,1,"k solution de cette equation"·
Green Text 58,1,"[EXE]:SUITE"·
Text 10,1,"y' = ay + b"·
Green Text 25,20,"f(x) = k.e(ax) - b/a , kR"·
Green Text 58,1,"[EXE]:RETOUR MENU"·
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