Formule de dérivation de base Flashcards
1
Q
[k]’
A
0
2
Q
[x]’
A
1
3
Q
(x^n]’
A
nx^n-1
4
Q
[e^x]’
A
e^x
5
Q
[k x u]’
A
k x u’
6
Q
[u +- v]’
A
u’ +- v’
7
Q
[u x v]’
A
u x v’ + u’ x v
8
Q
[u/v]’
A
u’ x v - u x v’ / v^2
9
Q
[u^n]’
A
nu^n-1 x u’
10
Q
[e^u]’
A
e^u x u’
11
Q
[b^u]’
A
b^u x ln b x u’
12
Q
[ln u]’
A
1/u x u’
13
Q
[log _b u]’
A
(1/ u x ln b) x u’
14
Q
[sin u]’
A
cos u x u’
15
Q
[tan u]’
A
sec^2 u x u’
16
Q
[sec u]’
A
sec u x tan u x u’
17
Q
[cos u]’
A
-sin u x u’
18
Q
[cot u]’
A
-csc2 u x u’
19
Q
[csc u]’
A
-csc u x cot u x u’
20
Q
[arcsin u]’
A
(1/√1-u2) x u’
21
Q
[arctan u]’
A
(1/1+u2) x u’
22
Q
arcsec(x)
A
1/x√x^2-1