Calculo Diferencial

 

>\WM_FKSM CF N\DOKNKOÛE

½CÛECF CFGFWON VE \ODMSM OEOKONW FD NSFWWOXNHF=

 Emjgrf cf dms nutmrfs8 Duos Nrjnecm Dûpfz Hnspf Msknr @frenecm Pnrins Jnrtêefz Yoddonj Netmeom [nkrostîe Knstoddm Yodjfr Nrvfy Gustnjnetf

[fptofjgrf 76.

Veovfrsocnc cf \njpdmen.  Emrtf cf [netnecfr. Kndkudm Co`frfekond.

 

Sngdn cf Kmetfeocms

oo

Oetrmcukkoûe.....................................................................................................................................> Mghftovms..........................................................................................................................................7 Mghftovm ifefrnd...........................................................................................................................7 Mghftovms fspfkê`okms...................................................................................................................7 Jnrkm Sfûrokm.................................................................................................................................; Kmekdusomefs....................................................................................................................................1

 

Oetrmcukkoûe

Kûjm kndkudnr kndkudnr dn vfdmko vfdmkocnc cnc cf cfskfes cfskfesmm cf ue nvoûe. Smcm dm quf sugf tofef quf  gnhnr. Fstm fs vîdocm pnrn ue nvoûe fe vufdm. Srnfr cf vufdtn ue nvoûe n dn supfr`okof tfrrfstrf cf `mrjn sfiurn fs fd mghftovm proekopnd, pfrm tnjgoïe fs efkfsnrom quf su rftmrem n dn supfr`okof tfrrfstrf tfein duinr fe fd puetm cf ntfrroznhf cfstoencm. Fd nvoûe em pufcf vmdnr ankon fd nfrmpufrtm y dufim cfskfecfr corfktnjfetf n dn postn cf ntfrroznhf kmjm ue afdokûptfrm. Fd cfskfesm cf ndtotuc cf ue vufdm cfgf oeokonrsf netfs cf ndkneznr  fd puetm cf ntfrroznhf cfstoencm y dn vfdmkocnc n dn kund fd nvoûe cfskofecf cfgf sfr  kndkudncn cf jmcm quf fd nvoûe ddfiuf nd eovfd cfd sufdm nd josjm tofjpm quf ddfin nd  puetm cf ntfrroznhf cfsfncm. Dn knêcn fe ndtotuc kmetrmdncn sf ddnjn vfdmkocnc cf cfskfesm.

 

Mghftovms

Mghftovm ifefrnd Ncquoror dms kmemkojofetms cf dns cfrovnkomefs cf uen `uekoûe yn sfn pmr rfidn cf dn kncfen kncf en m cfro cfrovnko vnkoûe ûe ojpdêk ojpdêkotn otn pnrn pnrn quf ems pfrjotn pfrjotn npdokn npdoknrr fstms fstms kmemkoj kmemkojofe ofetms tms nd  prmgdfjn y dns kofekons fxnktns.

Mghftovms fspfkê`okms Kmjprfecfr dms pnsms pnrn cfsnrrmddnr fd trngnhm. Nendoznr dms prmkfsms y fd kîdkudm pnrn pnrn sngfr kme fxnktotuc cûecf fjpofzn fd cfskfesm cf ue nvoûe. Fetfecfr dms kmekfptms y cf`oeokomefs cf dns cfrovncns yn sfne pmr rfidns cf dn kncfen m ojpdêkotn pnrn fd cfsnrrmddm cfd fhfrkokom.  

 

Jnrkm Sfûrokm  

½CÛECF CFGFWON VE \ODMSM OEOKONW FD NSFWWOXNHF= Fe dn `oiurn sf jufstrn uen trnyfktmron cf nprmxojnkoûe pnrn fd ntfrroznhf cf ue nvoûe, quf sntos`nkf dns kmecokomefs soiuofetfs8 o).

Dn ndturn cf cf kru rukkfrm fs a kunecm sf oeokon fd cfskfesm n uen costnekon d cfd puetm cf kmetnktm kme dn postn fe fd mroife.

oo oo). ).

Fd po podm dmtm tm cfg cfgff jnet jnetfe fefr fr uen uen rnpo rnpocf cfzz amro amrozme zmetn tndd kmestnetf v n tmcm dm dnrim cfd cfskfesm.

oo ooo) o)..

Fd vnd vndmr mr nngsm gsmdu dutm tm cf dn dn nnkf kfdf dfrnk rnkoû oûee vfrt vfrtok oknd nd em cfgf smgrfpnsnr uen kmestnetf b (dn kund

fs jukam jfemr quf dn nkfdfrnkoûe cfgocn n dn irnvfcnc.

>. Fekufetrf ue pmdoemjom køgokm  \ ( x ) :n x ;+ g x; + kx + c quf sntos`nin dn kmecokoûe o), ojpmeofecm kmecokomefs ncfkuncns smgrf \(x) y \‟(x) fe fd oeokom cfd cfskfesm y fd kmetnktm kme dn postn. 7. Vsf dns kmecokomefs oo) y ooo) pnrn cfjmstrnr quf8 0av

d

7

7

  ≣ b 

;. [upmein quf uen nfrmdêefn kmjfrkond cfkocf em pfrjotor quf dn nkfdfrnkoûe vfrtoknd cf ue nvoûe sfn jnymr quf b : 10< jo/a·. [o dn ndtotuc cf krukfrm cf ue nvoûe fs cf ;6