Derivée Flashcards
1
Q
Quel est l’équation de la tangente au point (a, f(a) ) ?
A
m = lim ( f(x) - f(a) ) / (x-a) )
2
Q
x’(t) =
A
dx / dt
3
Q
x’’(t) =
A
d/dx . dy/dx
=
d^2 x / dx^2
4
Q
C’ =
A
0
5
Q
(x^n) ‘ =
A
n x^n-1
6
Q
(cf)’ =
A
c f’
7
Q
( f + g ) ‘ =
A
f ‘ + g ‘
8
Q
( f g ) ‘
A
f g ‘ + g f ‘
9
Q
( f / g ) ‘
A
(g f ‘ - f g ‘ ) / g^2
10
Q
( f -g ) ‘ =
A
f ‘ - g ‘
11
Q
Sin(x)’ =
A
Cos(x)
12
Q
Cos(x)’ =
A
-sin(x)
13
Q
Tan(x)’ =
A
1 / cos(x)^2
14
Q
Règle de chaîne = …
A
a’ (g(x)) . g’(x)
15
Q
Approximation linéaire =…
A
f(a) + f’(a) (x-a)
16
Q
3^x ‘
A
Ln(3) 3^x
17
Q
(x^x) ‘
A
( e^(x lnx ) ) ‘
( e^( x lnx ) ) ´ . ( x lnx )’
e^(x lnx) . (1/x x +x lnx)
e^(lnx^x) . (1/x x+ lnx)
x^x (1 +lnx)
