12/>6/1>1?H^Rcttps://sgkueoml.hstobgl.ar/oeudls/<p>;122882?21&ushr\blm;2>0080=&kotr\gdth`robol;1>1>>312?627?/8
Qgborml Jlsh mo Rgevo Vghgro
OvoegoàâlOVR
QH]LQDOQ Î OVOEGOÀÂL
Mgsbgpegdo:
H@]>>>? -
AORHR KO]HKÏ]GBOR
^hrëlml:
1>1?.? HOM (@])
/
OVR
Oeudl:
QGBOQML JLRH MO RGEVO VGHGQO
Kotrëbueo:
1>1>>312?627
Moto: 12/>6/1>1? 12:?3:=6]urko:
7>12
O]HDÀÂL
?. Vhjo oaogxl,
tlmos
os suos rhsplstos `rovomos dl dlssl aodbl mh momls.1. Bosl vlbê quhgro vletor î prlvo begquh dl altâl "
Qhtlrdor î Ovoegoàâl
".
?
o
_uhstâl
(Qhf.: 1>1>??322??6)
Xko bldbhssgldïrgo blkprlu uk thrrhdl dl quoe o omkgdgstroàâl lbuporïuk thràl mo ïrho tltoe, o lfgbgdo lbuporï uk qugdtl mo ïrho tltoe h ls0>>k
1
rhstodths shrâl mhstgdomls ol pïtgl mo eljo. _uoe ç o ïrho tltoe mhsshthrrhdl<
?.7>> k
1
1.?>> k
1
?.0>> k
1
?.2>> k
1
?.8>> k
1
1
o
_uhstâl
(Qhf.: 1>1>??31330=)
^oro bldfhbbgldor uk bortoz mh prlpo`odmo, blkprhg uko fleco mh bortlegdo blk 1,8k
1
. Rh, poro fozhr lbortoz, hu dhbhssgtl mh ophdos mh 08>bk
1
, quodtl plr bhdtl mo fleco shrï utgegzoml poro o bldfhbàâl mhsshbortoz<2>%6%2%?>%18%
2
o
_uhstâl
(Qhf.: 1>1>??32=>81)
12/>6/1>1?H^Rcttps://sgkueoml.hstobgl.ar/oeudls/<p>;122882?21&ushr\blm;2>0080=&kotr\gdth`robol;1>1>>312?6271/8
L `rïfgbl o sh`ugr klstro l dëvhe mh ï`uo hk uk rhshrvotòrgl murodth l odl mh 1>?6. Ls dúkhrls dl hgxlLS rhprhshdtok l úetgkl mgo mh bomo kês.Ls dëvhgs mh ï`uo dl rhshrvotòrgl sâl mgrhtokhdth prlplrbgldogs ols dëvhgs mh bcuvo do rh`gâl. O lpàâl hkquh tlmls ls khshs oprhshdtok vleukh mh bcuvos oaogxl mo kçmgo oduoe ç:Fhvhrhgrl h MhzhkarlO`lstl h Rhthkarl Jodhgrl h O`lstl Oarge h Lutuarl Jodhgrl h Koràl
=
o
_uhstâl
(Qhf.: 1>1>??32=>60)
L `rïfgbl mh uko fudàâl f(x) ç uko rhto h l `rïfgbl mh uko fudàâl `(x) ç uko porïaleoLs mlgs `rïfgbls sh gdthrbhptok dls pldtls (? , -1) h (2 , 8).^lmh-sh ofgrkor quh:f(-1) ; `(8)f(?) ; `(?)f(?) ; 8`(2) ; -1f(?) ; `(2)
8
o
_uhstâl
(Qhf.: 1>1>??70087>)
]roàodml mlgs hgxls, LS ol quoe bcokorhkls hgxl mos oasbgssos h LW quh bcokorhkls hgxl mos lrmhdomos, mhflrko quh okals sh gdthrbhpthk phrphdmgbueorkhdth hk L, l peodl slarh l quoe bldstruëkls hsshs hgxls fgbomgvgmgml hk quotrl quomrodths:Bldsgmhrh os shdthdàos: G) (>,?) ; (?,>)
12/>6/1>1?H^Rcttps://sgkueoml.hstobgl.ar/oeudls/<p>;122882?21&ushr\blm;2>0080=&kotr\gdth`robol;1>1>>312?6272/8
J) (∑?, =)
∃
2º quomrodth I) (1, >)
∃
ol hgxl y E) (∑2, ∑1)
∃
2º quomrodth Ossgdoeh o oethrdotgvo blrrhto:
(G)9(J)9(I) sâl foesos h (E) ç vhrmomhgro.(G)9(J)9(I)9(E) sâl foesos.(G)9(J)Râl foesos h h (E)9(I) sâl vhrmomhgros.(G)9(I)Râl foesos h (E)9(J) sâl vhrmomhgros.(G)9(J)9(I)9(E) sâl vhrmomhgros.
6
o
_uhstâl
(Qhf.: 1>1>??321>02)
(Omoptomo mh: EGVQL OAHQ]L - s.m.) Bldsgmhrh o fudàâl `:Q
↑
Q toe quh `(x) ; 7 - x
1
.Ossgdoeh o oethrdotgvo blrrhto: Qhstrgd`gdml l mlkëdgl mo fudàâl ` poro l gdthrvoel (∔, 7[, thkls quh ` ç gdjhtlro. O fudàâl ` ç gdjhtlro. Qhstrgd`gdml l mlkëdgl mo fudàâl ` poro l gdthrvoel Y>,+∔), thkls quh ` ç gdjhtlro. Hxgsth oe`uk x
∃
Q bujo gko`hk ç g`uoe o ?>. O fudàâl ` ç slarhjhtlro.
0
o
_uhstâl
(Qhf.: 1>1>??313381)
Rhjo f:Q
↑
Q, mhfgdgmo plr:L bldjudtl gko`hk mh
f
ç moml plr:[-∔,?[[-∔,-?[Y?,+∔YY>,+∔YY-?,?[
3
o
_uhstâl
(Qhf.: 1>1>??31336?)
Lashrvh l `rïfgbl mo fudàâl o sh`ugr: