Formule de dérivation Flashcards

1
Q

(constante)’

A

0

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2
Q

(x exposant n)’

A

n * x exposant (n-1)

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3
Q

(u exposant n)’

A

n * u exposant (n-1) * u’

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4
Q

(u +/- v)’

A

u’ +/- v’

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5
Q

(u * v)’

A

u’ * v + u * v’

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6
Q

(u/v)’

A

(u’ * v - u * v’)/ v exposant 2

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7
Q

(e exposant u)’

A

(e exposant u) * u’

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8
Q

(a exposant u)’

A

(a exposant u) * ln(a) * u’

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9
Q

(ln(u))’

A

(1/u) * u’

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10
Q

(log en base a (u))’

A

((1/ (u * ln(a))) u’

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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

sec exposant 2 (u) * u’

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14
Q

(sec(u))’

A

sec (u) * tan (u) * u’

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15
Q

(csc(u))’

A

-csc (u) * cot (u) * u’

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16
Q

(cot (u))’

A

-csc exposant 2 (u) * u’

17
Q

(arcsin (u))’

A

(1/ racine carré (1 - u exposant 2)) *u’

18
Q

(arccos (u))’

A

(-1/ racine carré (1 - u exposant 2)) *u’

19
Q

(arctan (u))’

A

(1/1+u exposant 2) * u’

20
Q

(arcsec (u))’

A

(1/ valeur absolue de u * racine carré de (u exposant 2 -1)) * u’

21
Q

(arccsc (u))’

A

(-1/ valeur absolue de u * racine carré de (u exposant 2 -1)) * u’

22
Q

(arccot (u))’

A

( -1/ 1 + u expostant 2) * u’