Chap9 : La fonction logarithme népérien Flashcards

1
Q

(ln(x))’ = ?

A

1/x

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2
Q

Df de ln ?

A

]0 ; +∞[

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3
Q

ln(1) = ?

A

0

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4
Q

∀ a > 0, ∀ b > 0, ln(a*b) = ?

A

ln(a) + ln(b)

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5
Q

∀ a > 0, ∀ b > 0, ln(1/a) = ?

A

-ln(a)

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6
Q

∀ a > 0, ∀ b > 0, ln(a/b) = ?

A

ln(a) - ln(b)

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7
Q

∀ a > 0, ∀ b > 0, ln(aⁿ) = ? n ∈ ℤ

A

n*ln(a)

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8
Q

∀ a > 0, ln(√a) = ?

A

1/2*ln(a)

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9
Q

lim ln(x) = ?
x -> +∞

A

+∞

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10
Q

lim ln(x) = ?
x -> 0+

A

-∞

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11
Q

lim ln(x)/(x^a) = ? avec a > 0
x -> +∞

A

0

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12
Q

ln(e) = ?

A

1

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13
Q

(ln(u))’ = ?

A

u’/u

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