POTĘGI:
1.
m
n
m
n
a
a
a
np: (a
2
·a
3
=a
5
)
2.
m
n
m
n
a
a
a
np: a
5
/a
3
=a
2
3.
1
a
a
a
0
n
n
4.
n
0
n
0
n
a
a
a
a
1
np: 1/a
3
=a
-3
5.
m
n
m
n
a
)
a
(
np: (a
2
)
3
=a
6
6.
n
n
n
b
a
)
b
a
(
np: (a·b)
2
=a
2
·b
2
7.
n
n
n
b
a
b
a
np: (a/b)
2
=a
2
/b
2
8.
n
n
1
a
a
np: a
1/3
=
3
a
9.
m
n
m
n
a
a
np:a
2/3
=
3
2
a
WZORY SKRÓCONEGO MNOŻENIA:
1.
2
2
2
b
ab
2
a
)
b
a
(
2.
2
2
2
b
ab
2
a
)
b
a
(
3.
3
2
2
3
3
b
ab
3
b
a
3
a
)
b
a
(
4.
3
2
2
3
3
b
ab
3
b
a
3
a
)
b
a
(
5.
)
b
a
)(
b
a
(
b
a
2
2
6.
)
b
ab
a
)(
b
a
(
b
a
2
2
3
3
7.
)
b
ab
a
)(
b
a
(
b
a
2
2
3
3
GRANICE:
n
2
a
a
S
n
1
n
e
)
x
1
1
(
lim
x
x
1
x
x
sin
lim
o
x
LOGARYTMY:
1.
b
a
c
b
log
c
a
dla a>0, a
1, b>0
2.
1
a
log
a
bo a
1
=a
3.
0
1
log
a
bo a
0
=1
4.
)
y
x
(
log
y
log
x
log
a
a
a
5.
y
x
log
y
log
x
log
a
a
a
6.
x
log
p
x
log
a
p
a
7.
a
log
x
log
x
log
b
b
a
8.
A
a
A
a
log
np: 3
log
3
5
=5
9.
A
a
log
A
a
np: log
3
3
4
=4
10.
)
x
(
f
ln
)
x
(
f
log
e
POCHODNE (RÓŻNICZKOWANIE)
1.
1
)'
x
(
2.
0
)'
a
(
3.
1
n
n
x
n
)'
x
(
4.
)
x
(
'
f
c
))'
x
(
f
c
(
5.
2
'
g
'
fg
g
'
f
g
f
6.
'
fg
g
'
f
)'
g
f
(
7.
2
'
x
1
x
1
8.
x
2
1
)'
x
(
9.
1
n
1
3
1
3
x
n
1
)'
x
(
)'
x
(
CIĄGI:
SYMBOLE OZNACZONE
0
a
,
0
a
0
a
,
0
a
0
0
x
a
CIĄGI:
SYMBOLE NIEOZNACZONE
;
0
0
;
;
0
;
0
0
;
0
;
0
;
1
10.
a
ln
a
)'
a
(
x
x
np: (5
x
)’=5
x
ln5
11.
x
x
e
)'
e
(
12.
x
1
)'
x
(ln
13.
a
ln
x
1
)'
x
(log
a
np: (log
3
x)’ =
ln3
x
1
14.
x
cos
)'
x
(sin
15.
x
sin
)'
x
(cos
16.
x
cos
1
)'
x
tg
(
2
PIERWIASTKI:
1.
n
n
n
1
n
1
n
1
n
b
a
b
a
)
b
a
(
b
a
2.
n
n
n
1
n
1
n
1
n
b
a
b
a
b
a
b
a
3.
n
n
n
b
a
b
a
4.
n
n
n
b
a
b
a
17.
x
sin
1
)'
x
ctg
(
2
21.
2
x
1
1
)'
x
arcctg
(
18.
2
x
1
1
)'
x
(arcsin
19.
2
x
1
1
)'
x
(arccos
20.
2
x
1
1
)'
x
arctg
(
