Formules de dérivation Flashcards
(32 cards)
1
Q
(a^x)’
A
a^x * ln * a
2
Q
(e^x)’
A
e^x
3
Q
(log_a (x))’
A
1/(xlna)
4
Q
(ln (x))’
A
1/x
5
Q
(a^f(x))’
A
a^(f(x)) * lna * ln(x)
6
Q
(e^f(x))’
A
e^f(x) * f’(x)
7
Q
(log_a f(x))’
A
(1/(f(x) * ln a)) * f’(x)
8
Q
(ln f(x))’
A
(1/f(x)) * f’(x)
9
Q
(sinx)’
A
cosx
10
Q
(cosx)’
A
-sinx
11
Q
(tanx)’
A
sec^2(x)
12
Q
(cotx)’
A
-csc^2(x)
13
Q
(secx)’
A
secx * tanx
14
Q
(cscx)’
A
-cscx * cotx
15
Q
(sinf(x))’
A
cos(f(x)) * f’(x)
16
Q
(cosf(x))’
A
-sin(f(x)) * f’(x)
17
Q
(tanf(x))’
A
(sec^2 f(x)) * f’(x)
18
Q
(cotf(x))’
A
(-csc^2 f(x))* f’(x)
19
Q
(secf(x))’
A
(secf(x) * tanf(x)) * f’(x)
20
Q
(cscf(x))’
A
(-cscf(x) * cotf(x)) * f’(x)
21
Q
(arcsinx)’
A
1/racine(1-(x^2))
22
Q
(arccosx)’
A
-1/racine(1-(x^2))
23
Q
(arctanx)’
A
1/(1+(x^2))
24
Q
(arccotx)’
A
-1/(1+(x^2))
25
(arcsecx)'
1/|x|racine((x)^2)-1)
26
(arccscx)'
-1/|x|racine((x^2)-1)
27
(arcsinf(x))'
( 1/racine(1-(f(x)^2)) ) * f'(x)
28
(arccosf(x))'
( -1/racine(1-(f(x)^2)) ) * f'(x)
29
(arctanf(x))'
( 1/(1+(f(x)^2)) ) * f'(x)
30
(arccotf(x))'
( -1/(1+(f(x)^2)) ) * f'(x)
31
(arcsecf(x))'
( 1/|f'(x)|racine((f'(x))^2)-1) ) * f'(x)
32
(arccscf(x))'
( -1/|f'(x)|racine((f'(x))^2)-1) ) * f'(x)
