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) )

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

x’(t) =

A

dx / dt

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

x’’(t) =

A

d/dx . dy/dx

=

d^2 x / dx^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

C’ =

A

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

(x^n) ‘ =

A

n x^n-1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

(cf)’ =

A

c f’

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

( f + g ) ‘ =

A

f ‘ + g ‘

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

( f g ) ‘

A

f g ‘ + g f ‘

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

( f / g ) ‘

A

(g f ‘ - f g ‘ ) / g^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

( f -g ) ‘ =

A

f ‘ - g ‘

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Sin(x)’ =

A

Cos(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Cos(x)’ =

A

-sin(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Tan(x)’ =

A

1 / cos(x)^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Règle de chaîne = …

A

a’ (g(x)) . g’(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Approximation linéaire =…

A

f(a) + f’(a) (x-a)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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)