Summary
Zusammenfassung zum Thema Differentialrechnung
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WIEDERHOLUNGDIFFERENZIALRECHNUNG
differenzen quotienten flb) -
fla)
b a ✗
größerer
-
=
Wert
✗
Funktion = flx) Intervall I Laib ] Steigung d. Sekante durch Pla Ifla)) und Qlx
→ zwei Punkte
↳ f- ( b ) -
Ha)
b -
a
Bsp .
flx) = 2×2-3 I [ 2in]
VARIANTE 1 :
flb) ( 2.22
'
1 m= -
f- (a) 2 m = -114 ) -
f / 2) 3 m = 2. (4) -
3- -
3) 4 m = 12
b -
a 4 -
2 4 -
2
→Die Funktion in die Formel einsetzen
↳✗ wird mit bla ersetzt
VARIANTE 2 :
Schaubild → Eines
Graphen
gegeben
Intervall → 2 Punkte → I [a ; b ] → a. = -2 b= 1,5 1 m = flb ) -
fla)
^
3-
b -
a
Graph von f
←
2 m = f / 1,5 ) -
fl -
2) → Im S
1,5 -
l 2)
-
und
|
.
_
.
3
m = -
0,5 -
I -
1) -
f- (b
f.
b
.
y 1,5 -
1- 2) Grap
,
-
2 -1 1 .
2 3
Hb) b &
fla) 0,5
-
.
m = = 1
3,5 7
TANGENTEN GLEICHUNG BESTIMMEN
allgemeine Tangenten gleichung :
y
= f' la) ( x -
a) tfla) f / ×) = M -
× + n
1. Den Wert die Funktionsgleichung n =
Achsenabschnitt
y
✗ -
in - einsetzen -
2 Die Funktion
.
ableiten m =
Steigern
3. Den ✗ -
Wert in die
Ableitung einsetzen
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