Derivée Flashcards

1
Q

Dérive de : x^2

A

2x

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2
Q

Dérive de x^n

A

nx^n-1

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3
Q

Dérive de sqrt(x)

A

1/2sqrt(x)

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4
Q

Dérive de sin x et cos x

A

cos x et - sin x

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5
Q

Dérive de 1/x

A

-1/x^2

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6
Q

Dérive de 1/x^n

A

-n/x^n+1 ou -nx^-n-1

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7
Q

Dérive de ln x

A

1/x

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8
Q

Dérive de ln u

A

u’/u

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9
Q

Dérive de sqrt(u)

A

u’/2sqrt(u)

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10
Q

Dérive de cos u

A

-u’sin u

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11
Q

Dérive de sin u

A

u’cos u

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12
Q

Dérive de e^u

A

u’e^u

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13
Q

Dérive de 1/u

A

-u’/u^2

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14
Q

Dérive de arcsin(x)

A

1/√(1-x²)

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15
Q

Derive de u²

A

2uu’

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16
Q

a^(m+n) =

A

a^m * a^n

17
Q

(ab)^n =

A

a^n * b^n

18
Q

n! =

A

n*(n-1)!

19
Q

(n+1)! =

A

(n+1)n!

20
Q

n!/((n-1)!) =

A

n

21
Q

ln(a/b) =

A

ln(a) - ln(b)

22
Q

ln(ab) =

A

ln(a) + ln(b)

23
Q

ln(x^2) =

A

2ln(x)

24
Q

Dérivée de f o g

A

g’f’og

25
Q

Calculer de n parmi k

n/k

A

n!/(k!(n-k)!)