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️Mathe 11. Klasse Zusammenfassung - Vektoren & Ableitung️ $5.90   Add to cart
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️Mathe 11. Klasse Zusammenfassung - Vektoren & Ableitung️
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  • Course
  • Mathematik
  • Institution
  • Gymnasium

- Vektoraddition, Vektorprodukt, Skalarprodukt, Länge eines Vektors - Stammfunktion, Faktor-, Produkt-, Quotienten- und Kettenregel - Trigonometische Ableitung - Kurvendiskussion, Spiegelung der Funktion

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Document information

  • June 4, 2022
  • 7
  • 2020/2021
  • Summary

Subjects

  • vektor
  • vektoraddition
  • vektorprodukt
  • skalarprodukt
  • länge eines vektors
  • stammfunktion
  • faktorregel
  • produktregel
  • quotientenregel
  • kettenregel
  • kurvendiskussion
  • spiegelung der funk
  • trigonometrische ableitung

Written for

  • Secondary school
  • Gymnasium
  • Mathematik
  • 1
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✗ ( ↳gygyg
Vektoraddition
ä +5 Summen"""
:b ;
→
Läuse
•
=


aa;
as + b • a
,




•
Sonderfall Vektorsumme : von



BÖ FÖ AD Basics
'

AB + + = •
A

•
ä oder l s
•
Sonderfall :
Anfangspunkt Endpunkt -




AÖ BÖ + + CÄ = AÄ -
-
Ö
•
alle Pfeile die gleich
, lang parallel und
,




gleich orientiert sind heißen
→ Nullvehtor
Repräsentant eines Vektors
Das S
•
Unterschied in Orientierung :

ä
Vektorprodukt / Kreuzprodukt Gegen vektor
"
„



äx b- = a × b, •
Vektor mit Länge Null :


äo
,

az b,
as b] „
Nullvehtor "



=
an ✗ b, = az-bs-as.bz .
Vektor mit Fußpunkt im Ursprung :


bz asbn an by
-
•
az


b a Bestim
Ortsvektor "
y bs anbz azbn
a -


„
}
by
az bz •
a- =
an 0
az
.
es gilt kein Uommutahugeseh a, wenn

, kommt nicht dran !
Term der Ableitungsfunktion (h Methode )

f- ( x) = ×
-
✗
Ableitungen
f) (x ) = (im
h so
-
f (✗ + h)
h
-

ff) Allgemeines
→ auflösen Basics

→ für h den Annäherungswert einsehen •
Stamm funktion Ff ( ) × < >
Ableitungsfunktion
'
f- (x )
→ am Ende hat man Ableitungs funktion
•
Allg Formel der .
Ableitung
Ableitungsregeln ✗
r r -
1
FG ) > f (× )
'
= r . ✗
•
Faktorregel
'
r -
1
[ a. f- ( x ) ]
'
=
a. f) ( ) x a ER f- (x)
'
> FG) G . ✗ = a .
✗
r -11
Summenregel f- ( )
n
f- ( )
-

•
: x = × → x = 1
"
×
' '

(f- ( ) IgG )] fix ) G ) JA
'
fix) ± g. ( f- ( ) ?
'

f- ( )
"
x =
)
× x = × .
> x = ×
=
x =




-




•
Produkt regel (wenn in beidenFaktoren
-
✗ ist)

' Graph
[ulx) v4)]
' '
.
=
n (x) v4 ) -1nA)
• •
✓ (x)

•
Quotienten regel Graph der Stamm funktion f Graph der Ableitungs funktion f
'



'



( [¥ ] =
uk) v4) uf) v14) steigt oberhalb der x-Achse (f ' 0)
• - . • •
>
'
( )]x

•
fällt •
unterhalb der x-Achse ( fho)

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