Cheat Sheef
Derivative
Potenzfunktion
f(x)= y
=
=
5y;f(x) 4 3y" =
= -
=
12/
5
Funktionen
Yogarithm funktii4y-.
e-
fry) a..
=
Ge
Trigonomerische Fakt
frel= asin 14 f(x) cos/fr. =
8'; fry= acostel fry) a.sin/811. Se
=
kertenrege Produktrege
f(x) gf(x) n-r 1.
-
fre) =ury).vixfire) vn.vrx)+ wry).vry
-
= =
Quotientenrege
urx wirer.) -
wre). Vry)
frot Fre f(x)=
-
viere
Variable im Exponenten Infat X.Infal XIntaf
fre a =
=
e e
=
f) Ina).e
=
Integration
Potenzfunktion
f(x) ay =
(X) =
e Fire) fre
Ableitung
Funktionengry)
e
d..eax
e b
+
ax b +
-
e *(x) =
Ketenreger Rückwärts bren ·1
f(x) =(a+b! *(y) n 1
= +
⑨
-> nur
wenn in klammer erster Grad ist!
Bruck
Stax=intfre; S ay Frer=inryn
Partier Integration/Productintegration
Suvax=ur-
%e
-
1.e
- Swax=yet-et=ett- =
u 1
=
v 2
W -
1 W
-
ex
Nullstellen
Polynom 2. Grades aformel âXq(y2 -
px
+
a 0)
+
=
Polynom 3. Grades (Polynomdivision
, Polynom 4. Grades/Substitution
Bspf- +- 1 Subst. == f- 1 0/pq-Forme =
Rüchsubo -
e
Xr,z
aive -
=
i ziehen
Logarithmusfunktionen ole (n18
8
frx) (n14 1
-
+ e
=
= +
+
0
1
er+x+
2
=
0
-
e
12 y 1 1
+
-1+
=
↑2 y 0X ausklammern
=
+
X(x 1) 0
=
+
->
n 0;42 1
= =
Faktorrege
&sp1: 2x 1
roy
+
Bsphi fiel
no
fr+) (y 4).e
= -
42 4.22x
1
-
+
28 -
0 -D
na e y1 =
0
O
->
*
r
↑1x + n) 0
=
le
1 4 01 4
-
=
+
1 n 1
+ =
*1
y 4(n= ->
Vriz =2 =
1 0 =
Wurzerfunktion & Summe daraus
fry) = Nr 0112 =
↑2 -
1 0.1
=
1
+
y 1 =
Xn,z 1
=
Matrizen
Addition gleich gro
A
=
(abaj
Bei AB 1 n
=
242 2x
2
Multiplication myn. nyp
->
row / column
row column röw column
(gio= ↑ + 0.41.1 1.3
-
1.0 21 0.7
S
- +
0.0
+
4 15 -
12
Determinates 242 & 343 v o n Sarrus
Satz
de+19)
1 2 3 1 231 2
=
ad-b.c 4
-
1 6 =
4 -164 -1
1 0 -
4 1 0 -
4 1 D
detrA) 0 linear
=
=
dependent
-.(1.1-4 2.6:1 3.4.0 + +
-
2.4.14)
derA/*0=> Inverse ofA exists
1.6.0 3. 1). 1 4 12 32 3
2
=
+
- - = +
+
Derivative
Potenzfunktion
f(x)= y
=
=
5y;f(x) 4 3y" =
= -
=
12/
5
Funktionen
Yogarithm funktii4y-.
e-
fry) a..
=
Ge
Trigonomerische Fakt
frel= asin 14 f(x) cos/fr. =
8'; fry= acostel fry) a.sin/811. Se
=
kertenrege Produktrege
f(x) gf(x) n-r 1.
-
fre) =ury).vixfire) vn.vrx)+ wry).vry
-
= =
Quotientenrege
urx wirer.) -
wre). Vry)
frot Fre f(x)=
-
viere
Variable im Exponenten Infat X.Infal XIntaf
fre a =
=
e e
=
f) Ina).e
=
Integration
Potenzfunktion
f(x) ay =
(X) =
e Fire) fre
Ableitung
Funktionengry)
e
d..eax
e b
+
ax b +
-
e *(x) =
Ketenreger Rückwärts bren ·1
f(x) =(a+b! *(y) n 1
= +
⑨
-> nur
wenn in klammer erster Grad ist!
Bruck
Stax=intfre; S ay Frer=inryn
Partier Integration/Productintegration
Suvax=ur-
%e
-
1.e
- Swax=yet-et=ett- =
u 1
=
v 2
W -
1 W
-
ex
Nullstellen
Polynom 2. Grades aformel âXq(y2 -
px
+
a 0)
+
=
Polynom 3. Grades (Polynomdivision
, Polynom 4. Grades/Substitution
Bspf- +- 1 Subst. == f- 1 0/pq-Forme =
Rüchsubo -
e
Xr,z
aive -
=
i ziehen
Logarithmusfunktionen ole (n18
8
frx) (n14 1
-
+ e
=
= +
+
0
1
er+x+
2
=
0
-
e
12 y 1 1
+
-1+
=
↑2 y 0X ausklammern
=
+
X(x 1) 0
=
+
->
n 0;42 1
= =
Faktorrege
&sp1: 2x 1
roy
+
Bsphi fiel
no
fr+) (y 4).e
= -
42 4.22x
1
-
+
28 -
0 -D
na e y1 =
0
O
->
*
r
↑1x + n) 0
=
le
1 4 01 4
-
=
+
1 n 1
+ =
*1
y 4(n= ->
Vriz =2 =
1 0 =
Wurzerfunktion & Summe daraus
fry) = Nr 0112 =
↑2 -
1 0.1
=
1
+
y 1 =
Xn,z 1
=
Matrizen
Addition gleich gro
A
=
(abaj
Bei AB 1 n
=
242 2x
2
Multiplication myn. nyp
->
row / column
row column röw column
(gio= ↑ + 0.41.1 1.3
-
1.0 21 0.7
S
- +
0.0
+
4 15 -
12
Determinates 242 & 343 v o n Sarrus
Satz
de+19)
1 2 3 1 231 2
=
ad-b.c 4
-
1 6 =
4 -164 -1
1 0 -
4 1 0 -
4 1 D
detrA) 0 linear
=
=
dependent
-.(1.1-4 2.6:1 3.4.0 + +
-
2.4.14)
derA/*0=> Inverse ofA exists
1.6.0 3. 1). 1 4 12 32 3
2
=
+
- - = +
+
