Uphando epheleleyo kwemisebenzi kunye umehluko calculus

Ukuba nolwazi olubanzi kwisigcini- ukuba sizibekele axhobe isixhobo ngokwaneleyo ukwenza isifundo epheleleyo ngokukodwa iipateni ngokwezibalo kwangaphambili ngokohlobo ifomula (function). Kakade ke, umntu angaya eyona ndlela elula kodwa kukhathaza. Umzekelo, anikwe scope ingxoxo khetha interval, ukubala ixabiso umsebenzi kuyo nokwakha igrafu. Phambi iinkqubo zekhompyutha enamandla mihla, le ngxaki iya kusonjululwa kumbandela lemizuzwana. Kodwa ukuba ukususa yokugcina ngokupheleleyo yayo isifundo umsebenzi kwemathematika akukho ngokukhawuleza, kuba ezi ndlela zingasetyenziswa ukuvavanya ukuchaneka ukusebenza kweenkqubo zekhompyutha ekusombululeni iingxaki ezinjalo. Xa ugobe mechanical asinakho, ukuqinisekisa ukuchaneka echazwe ngasentla uluhlu kwi ingxoxo yokhetho.

Yaye kuphela emva kophando ngokupheleleyo umsebenzi, qiniseka, ethathela ingqalelo zonke bokuqonda "ukuziphatha" lulodwa kwi lokuphumla zaphandwa ndzulu, yaye lonke uluhlu lwezimvo.

Ukuze zokusombulula neendidi zemisebenzi kwizifundo yemvelo, izibalo kunye nobuchwepheshe kukho imfuneko ringetaka ku dyondza ukuxhomekeka ezisebenzayo phakathi yezahlukileyo ababandakanyekayo kule meko. Okokugqibela, anikwe nangokucazululayo enye okanye iseti ifomula eziliqela, likuvumela ukufunda iindlela analytics zezibalo.

Ukuqhuba uphando epheleleyo imisebenzi - ufumanise nokuchonga iindawo apho kwandisa (unciphisa), apho ifikelela iphezulu (ubuncinane), kwakunye nezinye iimpawu ngokweshedyuli yalo.

Kukho amacebo ezithile, nto ezo isifundo ngokupheleleyo lo msebenzi. Imizekelo kwizintlu uphando lwezibalo eliqhutywa ngaphandle bancipha ukufumana amathuba twatse. Uhlalutyo Uthelekelelo yesicwangciso lubandakanya izifundo zilandelayo:

- ufumane thambeka lo msebenzi, siya uphando indlela ngaphakathi kwemida yayo;

- amanqaku break yokuyiphatha imfumanise yokuhlela ngokusebenzisa imida unilateral;

- ukwenza asymptotes ezithile;

- sifumana ingongoma extremum kunye kwizithuba monotonicity;

- ukuvelisa inflection ethile, ekhefu wephiko kunye convexity;

- ukwenza ishedyuli wokwakha ngokususela kweziphumo zophononongo.

Xa kuqwalaselwa kuphela iingongoma ezinye isicwangciso kubalulekile ukukhumbula ukuba calculus umahluko iye isixhobo yimpumelelo kakhulu nasekufundweni kwemisebenzi. Kukho unxibelelwano kakhulu ilula ezikhoyo phakathi imo umsebenzi kunye neempawu zayo esukela. Ukusombulula le ngxaki kwanele ukubala ithe yokuqala neyesibini.

Qwalasela inkqubo ekufumaneni ukwehla ngamathuba, ukwandisa umsebenzi, solo bamkela igama ekhefu usenza intw '.

Kwanele ukumisela umqondiso ithe lokuqala ixesha elithile. Ukuba ithe rhoqo phezu lokuphumla mkhulu zero, ngoko sinako ngokukhuselekileyo kugweba umsebenzi ukwanda monotonic kule kuluhlu, kunye vice versa. amaxabiso akhabanayo ye yemvelaphi yokuqala iphawulwa njenge umsebenzi monotonically ukuhla.

Ngoncedo ukubala avela ezinyuliweyo yemizobo site, wabiza bulges kunye nemisebenzi phakathi. Oku kubonakaliswa ukuba ngexesha izibalo wafumana esukela umsebenzi rhoqo kwaye elibi, kubonisa ukuba convexity, lokuqhubeka ukuba ithe yesibini kunye nexabiso layo onguphozithivu ibonisa ukuba wephiko le grafu.

Ukufumana ixesha, xa kukho utshintsho yokungena kule ithe yesibini, okanye iindawo apho ayikho, ibonisa ukumiselwa kwindawo inflection. Ukuba umda emva kwesithuba convexity kunye wephiko.

ukufunda elipheleleyo umsebenzi ayipheli kunye ngongoma zingasentla, kodwa ukusetyenziswa calculus umahluko lula kakhulu kule nkqubo. Kulo mzekelo, iziphumo zohlalutyo kube kwiqondo eliphezulu wokuzithemba, evumela ukwakha igrafu, iyavumelana ngokupheleleyo iimpawu imisebenzi yovavanyo.