Formule Dérivation Flashcards
1
Q
( ku )’ =
A
k * u’
2
Q
( u ± v )’ =
A
u’ ± v’
3
Q
( uv )’ =
A
u * v’ + u’ * v
4
Q
( x^n )’ =
A
n * x ^ (n - 1)
5
Q
( u / v )’ =
A
( v * u’ - u * v’ ) / v²
6
Q
( u ^ n )’ =
A
n * u ^ (n - 1) * u’
7
Q
( e ^ u )’ =
A
e ^ u * u’
8
Q
( b ^ u )’ =
A
b ^ u * ln(b) * u’
9
Q
( ln(u) )’ =
A
u’ / u
10
Q
( logb(u) )’ =
A
u’ / u ln(b)
11
Q
( sin(u) )’ =
A
cos(u) u’
12
Q
( cos(u) )’ =
A
-sin(u) u’
13
Q
( tan(u) )’ =
A
sec²(u) u’
14
Q
( cotan(u) )’ =
A
-cosec²(u) u’
15
Q
( sec(u) )’ =
A
sec(u) tan(u) u’
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)