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Wiskunde samenvatting hoofdstuk 2 veranderingen
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  • Course
  • Wiskunde B
  • Level
  • HAVO
  • Book
  • Getal en ruimte (11e ed) wiskunde-b havo deel 1

Dit is een samenvatting over hoofdstuk 2 veranderingen van wiskunde b hierin wordt stapsgewijs alles uitgelegd en komen de belangrijkste dingen naar boven die je moet kennen en kunnen.

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Document information

  • No
  • 2 veranderingen
  • December 14, 2021
  • 2
  • 2020/2021
  • Summary

Subjects

  • open interval
  • gesloten interval
  • gemiddelde snelheid
  • snelheid op 1 moment
  • differentiequotiënt
  • helling
  • hellinggrafiek
  • hellinggrafiek plotten
  • afgeleide

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Written for

  • Secondary school
  • HAVO
  • Wiskunde B
  • 4
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Wiskunde samenvatting hoofdstuk 2:
Voorkennis:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
(a + b)(a - b) = a2 - b2

Paragraaf 2.1:
Interval = stukje van de x-as.
Open interval = de zijkanten doen mee.
Gesloten interval = zijkanten doen niet mee.
[ ] = gesloten interval.
<> = open interval.

Paragraaf 2.2:
2 manieren om over snelheid te praten:
➔ Gemiddelde snelheid over 1 periode (2 punten).
➔ Snelheid op 1 moment.

Δy
rc = = gemiddelde snelheid = differentiequotiënt.
Δx
op 0 = 15oC
op 4 = 11oC
op 8 = 12oC


Tijdsinterval Δ T in oC

[0,4] 11 - 15 = -4

[4,8] 12 - 11 = 1


Paragraaf 2.3:
1. Voer de formule in in GR.
2. Ga naar functie helling en voer het getal in die je wilt weten

Voorbeeld:
De lijk k raakt de grafiek van F1(x) = x2 - 2x -1 in het punt A met xA = 3 stel de formule op
van k.

1. Voer in F1(x) = x2 - 2x - 1
2. Voer in helling = 3

[ ]
dy
dx
x=3 =4

3. y = ax + b
4. k: y = 4x + b
5. k: (3,2)
4∙2+b=2

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