Izvodi Formule
1
IZVODI Tabliþni izvodi: ( = (= ( = ( = ( = ( = ( = ( = a x x x x a a a e e x x x n x x x nx x x C a x x x x n n n n ln 1 ' log 1 ' ln ln ' ' 2 1 ' ' 1 1 ' 1 ' 1 ' 0 ' 1 2 1 = = = = = - = - = = = = + - ( = ( = ( = ( = ( = ( = ( = ( = ( = ( = x x x x x x x x x x x x x x x x x x x x x x 2 2 2 2 2 2 2 2 sin cos ' cosec cos sin ' sec 1 1 ' arccot 1 1 ' arctan 1 1 ' arccos 1 1 ' arcsin sin 1 ' cot cos 1 ' tan sin ' cos cos ' sin - = = + - = + = - - = - = - = = - = = ( = ( = ( = ( = ( = ( = ( = ( = ( = ( = 2 2 2 2 2 2 2 2 1 1 ' Areacoth 1 1 ' Areatanh 1 1 ' Areacosh 1 1 ' Areasinh sinh 1 ' coth cosh 1 ' tanh sinh ' cosh cosh ' sinh 1 1 ' arccosec 1 1 ' arcsec x x x x x x x x x x x x x x x x x x x x x x - = - = - = + = - = = = = - - = - = Izvodi nekih sloåenijih funkcija: ( = ( = 2 v v' u v u' ' v u v' u v u' ' v u ' v ' u ' v u ⋅ - ⋅ = ⋅ + ⋅ = ⋅ + = + b a b a funkcije e proizvoljn su v u const b a , , = LIMESI 0 za ; 1 1 za ; 0 1 sin 1 1 1 lim lim lim lim lim lim 0 0 > = ∞ = > = = = ± = + → ∞ → ∞ → → ∞ → ∞ → a a x e a a x x x e n x e n x x n x x x n n x x n n n n
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Transcript of Izvodi Formule
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