Summary
Samenvatting Theorie overzicht H5 Boek getal en ruimte deel 2, Havo 5
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Theorie overzicht van hoofdstuk 5 van het boek getal en ruimte deel 2 voor 5 havo
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Hoofdstuk 5 VeranderingenVoorkennis
Intervallen noteren
— X ligt tussen 5 en 9
—5<x<9
Delta notitie
— Delta y : Delta x
5.1 Stijgen en dalen
Intervallen en stijgen en dalen
— Intervalnotatie —> {1,5}
— Open interval —> grenzen doen niet mee
— Gesloten interval —> grenzen doen wel mee
Soorten van stijgen en dalen
— Constante stijging
— Toenemende stijging
— Afnemende stijging
— Constante daling
— Toenemende daling
— Afnemende daling
Maximum en minimum
— Toppen van de grafiek
— Uitrekenen met rekenmachine —> calc – max or min
5.2 Toenamediagrammen
Van grafiek naar toenamediagrammen
— Grafiek laat vloeiende lijn zien
— Toenamediagram laat losse lijnen zien met de toename
per punt. Stapgrootte is meestal 1.
5.3 Differentiequotienten
Gemiddelde veranderingen
— Delta y : delta x
— Is gemiddelde verandering per tijdseenheid van Y
Differentiequotienten bij grafieken
— Yb – Ya
— Xb – Xa
Differentiequotienten en formules
— Bereken y bij beide punten dan weer delta delen
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