Fonction logarithme Flashcards

1
Q
y = ln(x)
x = ...
A

e^y

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2
Q

Les courbes e^x et ln(x) sont symétriques par rapport à …

A

la premiere bissectrice y=x

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3
Q

ln(1) = …

A

0

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4
Q

ln(e) = …

A

1

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5
Q

e^ln(a) = …

A

a

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6
Q

ln(e^a) = …

A

a

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7
Q

ln(xy) = …

A

ln(x) + ln(y)

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8
Q

ln(1/x) = …

A

-ln(x)

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9
Q

ln(x/y) = …

A

ln(x) - ln(y)

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10
Q

ln(x^n) = …

A

n ln(x)

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11
Q

ln(√x) = …

A

1/2 ln(x)

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12
Q

ln’(x) = …

A

1/x

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13
Q

(ln°u)’ = …

A

u’/u

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14
Q

Variations de la fonction x→ln(x)

A

x / 0 1 +∞

ln (x) / || -∞ ↑ 0 ↑ +∞

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15
Q

ln(a)≤0

a appartient à …

A

]0;1]

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16
Q

ln(a)≥0

a appartient à …

A

[1;+∞[

17
Q

La courbe de la fonction x→ln(x) admet une asymptote … d’équation

A

verticale x=0

18
Q
lim ln(x) = ...
x→0
A

-∞

19
Q
lim ln(x)/x^n = ...
x→+∞
A

0

20
Q

lim x^n ln(x) = …

x→0

A

0