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IZVODITabli ni izvodi:
( )( )( )
( )( )( )( )
( )ax
x
xx
aaaee
xx
xn
x
xx
nxxxC
a
xx
xx
nn
nn
ln1'log
1'ln
ln''
21'
'1
1'1'
1'0'
1
2
1
=
=
=
=
=
−=
−=
=
==
+
−
( )( )
( )
( )
( )
( )
( )
( )
( )
( )xxx
xxx
xx
xx
xx
xx
xx
xx
xxxx
2
2
2
2
2
2
2
2
sincos'cosec
cossin'sec
11'arccot
11'arctan
1
1'arccos
1
1'arcsin
sin1'cot
cos1'tan
sin'coscos'sin
−=
=
+−=
+=
−−=
−=
−=
=
−== ( )
( )
( )( )
( )
( )
( )
( )
( )
( ) 2
2
2
2
2
2
2
2
11'Areacoth
11'Areatanh
1
1'Areacosh
1
1'Areasinh
sinh1'coth
cosh1'tanh
sinh'coshcosh'sinh
1
1'arccosec
1
1'arcsec
xx
xx
xx
xx
xx
xx
xxxx
xxx
xxx
−=
−=
−=
+=
−=
=
==
−−=
−=
Izvodi nekih slo enijih funkcija:( )( )
2vv'uvu''
vu
v'uvu''vu'v'u'vu
⋅−⋅=
⋅+⋅=⋅+=+ baba
funkcijeeproizvoljnsuvuconstba
,, =
LIMESI
0za;1
1za;01sin
111
limlim
limlim
limlim
0
0
>=∞=
>==
=
±=
+
→∞→
∞→→
∞→∞→
aaxe
aax
xx
enxe
n
x
xn
x
x
x
n
nx
xn
n
n
n