Getal en Ruimte oefentoets, Meetkunde met coördinaten (H8), VWO, SE-niveau!
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Course
Wiskunde B
Level
VWO / Gymnasium
Dit is een oefentoets die past bij de methode Getal en Ruimte, Meetkunde met coördinaten (H8), Wiskunde B. Dit is op SE-niveau en is dus voor 5 VWO'ers en 6 VWO'ers (die eindexamen gaan doen) HEEL handig. Als er iets mis is, stuur maar een persoonlijk bericht naar mij.
OEFENPROEFWERK VWO B DEEL 3
HOOFDSTUK 9 EXPONENTIËLE EN LOGARITMISCHE FUNCTIES
OPGAVE 1
Bereken exact.
1p a 5log( 25
1
5)
e
4
2 3
3p b 3ln 2 2 ln (e )
e
1
2p c 4
log(32) 4log(16) 4 log(8)
OPGAVE 2
2p a Herleid de K 120 15 tot de q a b 4log(c dK ).
formule 42q5 vorm
ln(9) 1
b
Herleid
3p 3 3ln(4) tot één logaritme.
2
c Herleid
log(4) 1
3log(729) 11 1
1
tot één logaritme.
3
3p
2 2
e2x 2ex 3
3p d .
Herleid e2x 1
OPGAVE 3
Los exact op.
3p a 6 ln(x 3) 7
2
1
ln(x 3)
3p b
e2 x1 3 e2 x 0
8
5p c 1
3 log (x 4) 2 15 log(x 4)
2 2
5p d
22x1 2x4 4x 2x1
OPGAVE 4
Differentieer.
2p a f (x) 2x ln2 (x 1)
2p b
g(x) x2 1e 5x
2p c h(x) 5log(x4 1)
22 x1
2p d j(x)
8
13
x2
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