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Samenvatting Het overzichtje voor de acht $0.00
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Samenvatting Het overzichtje voor de acht
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  • Course
  • Wiskunde B
  • Level
  • VWO / Gymnasium

Het perfecte overzicht om een hoog cijfer te halen voor je volgende wiskunde repetitie of examen. Even alle lastige dingen samengevat! In dit overzicht vindt je onder andere rekenregels van machten en logaritme, meetkundige bewijzen, primitieven en bijzondere functies.

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Document information

  • May 7, 2021
  • 5
  • 2020/2021
  • Summary

Subjects

  • wiskunde
  • wiskunde b
  • functies
  • vergelijkingen
  • rekenregels
  • afgeleiden
  • sinus
  • cosinus
  • meetkunde
  • goniometrie
  • vectoren
  • intergreren
  • differentieren
  • machten
  • abc formule

Written for

  • Secondary school
  • VWO / Gymnasium
  • Wiskunde B
  • 6
All documents for this subject (260)

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mjjheule

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Begrippen en Relaties
Rekenregels
p q p +q
a ∙ a =a
ap p−q
q
=a
a
1 −p
p
=a
a
p q p∙ q
(a ) =a
log 10 c
x=log a c=
log 10 a

n ∙ ln ( x )=ln ⁡( x n)
log 1 x=−log g x
g




ABC-formule
Discriminant >0 → 2 snijpunten
Discriminant =0 →1 raakpunt
Discriminant <0 → geen snijpunten


Perforatie
Teller=0 en Noemer=0 →Gevonden x → lim functie→ y−waarde
x




Verschuiven in y=(cx-b)+d
Translatie met ( a , b ) → y =( cx−a ) +b
Vermenigvuldiging t . o . v x −as met a → y=a(( cx−b ) +d )
1 2
Vermenigvuldiging t . o . v . y −as met → y=( c x−b ) + d
c


Symmetrie
Lijnsymmetrie y −as → f ( x )=f (−x ) ! Bij x=a eerst transleren naar y −as !
Puntsymmetrie ( 0,0 ) → f ( x )=−f (−x ) ! Bij een ander punt ( a , b ) , transleren(−a ,−b)

, Afstand
d ( a , 0 )= √ x 2 + y 2


Snelheid
2 2 min '2 '2
v ( t )=√ x ' + y ' of bij snelheid → v ' ( t )=x + y =0
max
Booglengte
b

∫ √1+(f ' ( x ))2
a




Functies en Grafieken
Bijzondere soorten functies
y=a x2 +bx +c

y=a ( x−p )2+ q →Toppenvergelijking ,top ( p ,q )
y=a ( x−b ) ( x−c ) → Nulpunten x=b en y=c

y=a+b √ c ∙ x +d → Wortelfunctie ,beginpunt ( −dc , a)! CONTROLEREN !
( qc ) en( cp , 0)
px+ qy=c → gaat door 0 ,

1 1
rx + sy=1 → gaat door ( 0 , ) en ( ,0)
s r

( y−v )=a ( x −h ) →rc=a en gaat door (h , v)


Sinusoide
y=b+a ∙ ¿
Evenwichtsstand → y =b
Amplitude→∨a∨¿
2π 1
Periode→ =
c frequentie
Startpunt → punt ( d , b ) op evenwichtstand ! Bij cos ( d , b+a ) !


Oplossen van vergelijkingen
A ∙ B=A ∙C → A=0 of B=C

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