Formule Dérivation Flashcards

1
Q

( ku )’ =

A

k * u’

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2
Q

( u ± v )’ =

A

u’ ± v’

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3
Q

( uv )’ =

A

u * v’ + u’ * v

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4
Q

( x^n )’ =

A

n * x ^ (n - 1)

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5
Q

( u / v )’ =

A

( v * u’ - u * v’ ) / v²

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6
Q

( u ^ n )’ =

A

n * u ^ (n - 1) * u’

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7
Q

( e ^ u )’ =

A

e ^ u * u’

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8
Q

( b ^ u )’ =

A

b ^ u * ln(b) * u’

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9
Q

( ln(u) )’ =

A

u’ / u

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10
Q

( logb(u) )’ =

A

u’ / u ln(b)

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11
Q

( sin(u) )’ =

A

cos(u) u’

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12
Q

( cos(u) )’ =

A

-sin(u) u’

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13
Q

( tan(u) )’ =

A

sec²(u) u’

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14
Q

( cotan(u) )’ =

A

-cosec²(u) u’

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15
Q

( sec(u) )’ =

A

sec(u) tan(u) u’

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16
Q

( cosec(u) )’ =

A

-cosec(u) cotan(u) u’

17
Q

( arcsin(u) )’ =

A

u’ / sqrt(1 - u²)

18
Q

( arccos(u) )’ =

A

-u’ / sqrt(1 - u²)

19
Q

( arctan(u) )’ =

A

u’ / 1 + u²

20
Q

( arccot(u) )’ =

A

-u’ / 1 + u²

21
Q

( arcsec(u) )’ =

A

u’ / |u|sqrt(u² - 1)

22
Q

( arccosec(u) )’ =

A

-u’ / |u|sqrt(u² - 1)