Summary

Samenvatting Wiskunde B Formuleblad

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Course
Wiskunde B

Level
VWO / Gymnasium

Alle formules van wiskunde B die eventueel aan bod kunnen komen staan hier op dit formuleblad. Handig om erbij te houden tijdens het oefenen als overzicht. Deze formuleblad mag je er NIET bij houden op toetsen/examens.

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Uploaded on March 24, 2024
Number of pages 8
Written in 2023/2024
Type Summary

formules
wiskunde b
formuleblad
spiekbrief
huiswerk
wiskunde

Institution Secondary school
Level
VWO / Gymnasium
Course
Wiskunde B
School year 6

bitanasseri

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1

Formulekaart VWO wiskunde B
Vergelijkingen

−b+ D −b− D
ax 2 + bx + c = 0 x= of x = a ≠ 0, D > 0
2a 2a
met D = b − 4ac
2

xn = c x = c1/ n = n c x > 0, c > 0, n > 0

log a ln a
gx = a x = g log a = = a > 0, g > 0, g ≠ 1
log g ln g
g
log x = b x = gb x > 0, g > 0, g ≠ 1

ex = a x = ln a a>0

ln x = b x = eb x>0

Machten en logaritmen

1
a −n = a>0
an
a1/ n =na a>0,n>0

a p i a q = a p+q a>0
a p : a q = a p / a q = a p −q a>0
(a p ) q = a pq a>0
(ab) = a b
p p p
a, b > 0

p
log a
g
log a = p
g > 0; g ≠ 1; a > 0; p > 0, p ≠ 1
log g
g
log a + g log b = g log ab g > 0; g ≠ 1; a > 0; b > 0
⎛a⎞
g
log a − g log b = g log ⎜ ⎟ g > 0; g ≠ 1; a > 0; b > 0
⎝b⎠
g
log ( a p ) = p g log a g > 0; g ≠ 1; a > 0

Binomium van Newton
n
⎛n ⎞ ⎛n ⎞ n!
(a + b )n = ∑ ⎜ k ⎟a k
b n −k met ⎜ ⎟ =
k =0 ⎝ ⎠ ⎝ k ⎠ k !(n − k )!

, 2

Differentiëren en integreren
functie afgeleide

somregel f ( x) + g ( x) f ' ( x) + g ' ( x)

constante maal f c f ( x) c f '( x)

productregel f ( x) g ( x) f '( x ) g ( x ) + f ( x ) g '( x )

f ( x) f '( x) g ( x) − f ( x) g '( x)
quotiëntregel
g ( x) g ( x) 2
df df dg
kettingregel f ( g ( x) ) f ' ( g ( x) ) g '( x) of =
dx dg dx
dy dy du
x u y f '( x) = y ' u ' of =
dx du dx
Differentiëren van standaardfuncties Primitiveren van standaardfuncties

f (x ) f ' ( x) f (x ) F ( x ) = ∫ f ( x ) dx
c 0
1 n +1
x n
n x n −1 xn x + c (n ≠ –1)
n +1
gx g x ln( g ) (g > 0) 1 x
gx g +c
ex ex ln g
1 ex ex + c
g (g > 0, g ≠ 1)
log x x ln( g ) 1
ln x + c
1 x
ln x ln x x ln( x ) − x + c
x
cos x 1
sin x g
log x ( x ln( x) − x ) + c
cos x − sin x ln( g )
1 sin x − cos x + c
tan x = 1 + tan 2 x cos x
cos 2 x sin x + c

Lineaire benadering (raaklijn) van f in (p, q): y = f ' ( p ) ⋅ ( x − p ) + q

Inhoud van het omwentelingslichaam dat ontstaat door de grafiek van de functie f op het interval [a,b] om de x-
as te wentelen:
a
I = π ∫ f ( x ) 2 dx
b

Lengte van de grafiek van f op het interval [a,b]:

a
L = ∫ 1 + f '( x) 2 dx
b

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Samenvatting Wiskunde B Formuleblad

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