La lecture à portée de main
Description
Sujets
Informations
Publié par | bankexam |
Publié le | 16 mars 2009 |
Nombre de lectures | 41 |
Langue | Français |
Extrait
20 2008 2
4
6
tan(x)3 0 e
tan(x)e −1
∗f R f(x) =
x
0
f(a) = f(b)
f ]a,b[ [a,b]
f [a,b]
f(b)−f(a)
g(x) = f(x)−f(a)− (x−a)
b−a
√
1001 100
8
2x +x−1 = 0 [0,1] f
x> 0
1
f(x) = .
x+1
2x + x− 1 = 0 ]0,1[
r
r f(x) = x ]0,1[
1 1x∈ ,1 f(x)∈ ,12 2
f f
1 4∀x∈ ,1 ,|f (x)|6 .
2 9
f [a,b] ]a,b[ f(a) = f(b)
′c∈]a,b[ f (c) = 0
11 2008
′
′
20 2008 2
u = 10
u
u = f(u )n+1 n
1n∈N u ∈ [ ,1]n 2
n 4 ∀n∈N, u −r 6 ,n
9
(u )n
−kn u r 10n
n k
10
g(x) = arctan(sinh(x)) arctan sinh
D gg
1
g (x) =
cosh(x)
g
g 0 3 Cg
x = 0 x = 0
∗g Dg
−1g
C C −1g g
−1g
−1sinh(g (x)) = tan(x) sinh(x) = tan(g(x))
−1 −1 −1g (g ) (x) = cosh(g (x))p
−1 2(g ) (x) = 1+tan (x)
p 121+tan (x) =
cos(x)
−1(g ) 3
−1g 4
11 2008
′
′
′
′