Okuqukethwe
Kulolu shicilelo, sizocubungula ukuthi ingakanani ububanzi bomsebenzi, ukuthi uqokwa futhi ucaciswe kanjani. Siphinde siklelise lezi zindawo ngezici ezidume kakhulu.
Umqondo wobubanzi
Domain iqoqo lamanani x, lapho umsebenzi uchazwa khona, okungukuthi ikhona y. Kwesinye isikhathi kuthiwa indawo yomsebenzi.
- x - ukuguquguquka okuzimele (impikiswano);
- y - ukuguquguquka okuncike (umsebenzi).
Isaziso esivamile somsebenzi: y=f(x).
Umsebenzi iwubudlelwane phakathi kweziguquguquki ezimbili (amasethi). Ngesikhathi esifanayo, ngamunye x ifana nevelu eyodwa kuphela y.
Ukuhumusha kwejiyomethri kwesizinda sencazelo yomsebenzi wukuboniswa kwegrafu ehambisana nayo ku-abscissa eksisi (0x).
Isethi yamanani okusebenza – wonke amanani yyamukelwe umsebenzi esizindeni sayo. Ngokombono wejiyomethri, lokhu ukugqama kwegrafu ku-axis ka-y (0y).
Isizinda sencazelo sichazwa ngokuthi D (f). Kunalokho f, ngokulandelana, umsebenzi othile uyakhonjiswa, isibonelo: D(x2), D(cos x) njll
Khona-ke uphawu olulinganayo luvame ukubekwa futhi amanani athile abhalwe:
- Ngesemicolon, sibonisa imingcele yesokunxele nesokudla yesikhawu esihambisana namanani ku-eksisi. 0x (ngokuqondile ngaleyo ndlela).
- Uma umngcele ungaphakathi kwendawo yencazelo, faka ubakaki wesikwele eduze kwawo, ngaphandle kwalokho, ubakaki oyindilinga.
- Uma ungekho umngcele ongakwesokunxele, sicacisa esikhundleni salokho "-∞", kwesokudla - "∞" (funda njengokuthi “susa/hlanganisa nokungapheli”).
- Uma kunesidingo, uma ufuna ukuhlanganisa izigaba eziningana, lokhu kwenziwa ngokusebenzisa uphawu olukhethekile “∪”.
Ngokwesibonelo:
- [3; 10] isethi yawo wonke amanani asuka kokuthathu kuye kweyishumi ahlanganisiwe;
- [4; 12) – kusukela kokune okuhlanganisiwe kuye kweyishumi nambili ngokukhethekile;
- (-2; 7] – ukusuka kokubili ngokuhlukile kuye kohlanganisa nesikhombisa.
- [-10; -4) ∪ (2, 8) – ukusuka kokukhipha ishumi ohlanganisayo kuye kokune ngokukhethekile futhi kusuka kokubili kuye kwesishiyagalombili ngokukhethekileyo.
Qaphela:
- Zonke izinombolo ezinkulu kunoziro zibhalwe kanje: (0; ∞);
- Konke kunegethivu: (-∞; 0);
- Zonke izinombolo zangempela: (-∞; ∞) noma umane R.
Izizinda zemisebenzi ehlukene
Ukubuka okuvamile | Umsebenzi | Isizinda sencazelo (D) | |||
Linear | Ngesibhamu | «> | Umsuka | «> | |
nge-logarithm | Imashi | Zonke izinombolo zangempela, ezinobubanzi obuthile obuncike enanini aokuhle noma okubi, inombolo ephelele noma ingxenyenamba. | |||
Power | Njengomsebenzi womchazi. | ||||
Isono | UCosine | ||||
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