100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Samenvatting wiskunde 3ASO (niet-wiskundige richtingen) 2024/2025 $17.11   Add to cart

Summary

Samenvatting wiskunde 3ASO (niet-wiskundige richtingen) 2024/2025

20 reviews
 659 views  52 purchases
  • Course
  • Institution

Dit is een uitgebreide samenvatting van ALLE theorie wiskunde voor de niet-wiskundige richtingen van de 3e graad ASO. Er zitten ook oefeningen bij van vorige examens en ook een proefexamen met verbetersleutel uiteraard. Ook heb ik er handige links aan toegevoegd die eigenlijk samen ook een samenvat...

[Show more]
Last document update: 2 months ago

Preview 4 out of 49  pages

  • July 24, 2020
  • August 25, 2024
  • 49
  • 2024/2025
  • Summary

20  reviews

review-writer-avatar

By: rzalekorly • 1 year ago

reply-writer-avatar

By: morgan094 • 11 months ago

Translated by Google

Thanks for your review! :)

review-writer-avatar

By: niczkaweclaw8998 • 1 year ago

reply-writer-avatar

By: morgan094 • 1 year ago

Translated by Google

Thanks for your review! :)

review-writer-avatar

By: antobac • 1 year ago

reply-writer-avatar

By: morgan094 • 1 year ago

Translated by Google

What did you dislike about it?

review-writer-avatar

By: hmmcat • 2 year ago

reply-writer-avatar

By: morgan094 • 2 year ago

Translated by Google

Thanks for your review! What didn't you like about it?

review-writer-avatar

By: claudiadadi123 • 2 year ago

reply-writer-avatar

By: morgan094 • 2 year ago

Translated by Google

Thanks for your review! :)

review-writer-avatar

By: lamhasniimane • 2 year ago

reply-writer-avatar

By: morgan094 • 2 year ago

Translated by Google

Thanks for your review! :)

review-writer-avatar

By: victormulnard • 1 year ago

reply-writer-avatar

By: morgan094 • 1 year ago

Translated by Google

Thanks for your review! :)

Show more reviews  
avatar-seller
1

,Inhoud
Reële functies.......................................................................................................................................................................4
Grafische voorstelling functies+ kenmerken....................................................................................................................4
even en oneven functies..................................................................................................................................................4
punt – en lijnsymmetrie: het soort symmetrie afleiden uit de grafische voorstelling................................................4
Veeltermfuncties..............................................................................................................................................................5
Ontbinden in factoren..................................................................................................................................................5
afgeleiden.........................................................................................................................................................................6
a) Verandering van een veeltermfunctie.....................................................................................................................6
b) Ogenblikkelijke verandering/ afgeleide in een punt...............................................................................................8
c) Afgeleide van een veeltermfunctie..........................................................................................................................9
Som-, en productregel...............................................................................................................................................10
e) Verloopschema en tekenschema (stijgen/dalen/extrema/nulpunten) van de afgeleide functie van een
veeltermfunctie..........................................................................................................................................................11
Exponentiële functies.....................................................................................................................................................12
a) Kenmerken exponentiele functies: domein, beeld, extrema, stijgen/dalen, asymptoten...................................12
b) Het verschil tussen lineaire en exponentiele groei ▪ In tabellen:..........................................................................12
c) Groeifactor berekenen= a......................................................................................................................................13
d) Exponentiele vergelijkingen oplossen...................................................................................................................13
e) Vraagstukken oplossen..........................................................................................................................................14
Logaritmische functies...................................................................................................................................................14
verschil tussen exponentiele en logaritmische functies:...........................................................................................14
Tiendelig of briggse logaritme...................................................................................................................................15
Natuurlijke of neperiaanse logaritme.......................................................................................................................15
a) Rekenregels van logaritmen toepassen.................................................................................................................15
b) Logaritmische vergelijkingen oplossen..................................................................................................................17
c) Het verband tussen exponentiele en logaritmische functies................................................................................17
Goniometrische functies................................................................................................................................................18
De hoeken in graden en radialen (vanbuiten kennen + met GRM)...........................................................................18
b) Verwante hoeken en hun goniometrische getallen: sinus, cosinus, tangens.......................................................19
De sinusfunctie: grafische voorstelling en kenmerken (domein, bereik, periodiciteit, nulwaarden,
extremawaarden, stijgen en dalen)...........................................................................................................................22
C) De algemene sinusfunctie:....................................................................................................................................23
e) sinusvergelijkingen oplossen.................................................................................................................................25



2

,Statistiek.............................................................................................................................................................................25
Soorten variabelen.........................................................................................................................................................25
Kwalitatief..................................................................................................................................................................25
Kwantitatief................................................................................................................................................................26
De normaalverdeling en de standaardafwijking en de klokcurve, vuistregels, z-score.................................................26
De z-score.......................................................................................................................................................................27
standaardafwijking berekenen.......................................................................................................................................29
Examenvragen....................................................................................................................................................................29
07/01/2019.....................................................................................................................................................................29
Digitale deel...............................................................................................................................................................30
Schriftelijke deel.........................................................................................................................................................31
Filmpjes alle leerstof...........................................................................................................................................................32
Reële functies.................................................................................................................................................................32
Eerstegraadsfuncties......................................................................................................................................................32
Tweedrgraadsfuncties....................................................................................................................................................32
Tweedegraadsvergelijkingen..........................................................................................................................................32
Veeltermfuncties............................................................................................................................................................32
Differentiequotiënt.........................................................................................................................................................32
Afgeleiden van veeltermfuncties...................................................................................................................................33
Exponentiële functies.....................................................................................................................................................33
Logaritmische functies...................................................................................................................................................33
Goniometrische functies................................................................................................................................................33
Goniometrische vergelijkingen......................................................................................................................................34
Statistiek.........................................................................................................................................................................34
Normale verdeling..........................................................................................................................................................34
Proefexamen.......................................................................................................................................................................35
Verbetersleutel proefexamen............................................................................................................................................41
Algemene tips.......................................................................................................................................................................3
Verloop examen....................................................................................................................................................................3
Bibliografie............................................................................................................................................................................3
Eindwoord.............................................................................................................................................................................3




SAMENVATTING

3

, REËLE FUNCTIES

GRAFISCHE VOORSTELLING FUNCTIES+ KENMERKEN




 Domein: intervalnotatie, de x-waarden waarvoor er functiewaarden bestaan
 Beeld/bereik: intervalnotatie, de oplossingen voor de x-waarden
 Nulpunten: de x-waarden waarbij de functiewaarden nul zijn
 Extremawaarden:
o maximum (M): het hoogst gedefinieerde Y-waarde van de functie f
Minimum (m): het laagst definieerde y-waarden van de functie f
 Stijgen/dalen: de functie stijgt, of de functie daalt
 Constante verloop: het functie blijft constant
 Tekenverandering van een functie: de functiewaarden zijn groter dan nul indien de
functie boven de X-as is, en negatief indien de functie onder de X-as is.

EVEN EN ONEVEN FUNCTIES


PUNT – EN LIJNSYMMETRIE: HET SOORT SYMMETRIE AFLEIDEN UIT DE GRAFISCHE VOORSTELLING
 Even functies: functies waarvan de grafiek symmetrisch is t.o.v. de y-as

F(-x)= f(x) bv. F(x)=x2




4

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller morgan094. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $17.11. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

79271 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$17.11  52x  sold
  • (20)
  Add to cart