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Ma kēia hoʻolaha, e noʻonoʻo mākou i ke ʻano o kahi hana, pehea i koho ʻia a kuhikuhi ʻia. Hoʻopaʻa inoa mākou i kēia mau wahi no nā hiʻohiʻona kaulana loa.
Ka manaʻo o ka laulā
Domain he hoʻonohonoho waiwai x, kahi i wehewehe ʻia ai ka hana, ʻo ia hoʻi, aia y. I kekahi manawa kāhea ʻia wahi hana.
- x - hoʻololi kūʻokoʻa (hoʻopaʻapaʻa);
- y – dependent variable (hana).
Notation maʻamau o kahi hana: y=f(x).
Launch he pilina ma waena o nā mea hoʻololi ʻelua (sets). I ka manawa like, kēlā me kēia x hoʻokahi wale nō waiwai kikoʻī y.
ʻO ka wehewehe geometric o ke kikowaena o ka wehewehe ʻana o kahi hana, ʻo ia ke kuhi o ka pakuhi e pili ana me ia ma ke koʻi abscissa (0x).
Hoʻonohonoho o nā waiwai hana - nā waiwai a pau yʻae ʻia e ka hana ma kāna kikowaena. Mai ka manaʻo o ka geometry, ʻo ia ke kuhi o ka pakuhi ma ke axis y (0y).
Ua kuhikuhi ʻia ke kahua o ka wehewehe ʻana D (f). Ma kahi o f, i kēlā me kēia, hōʻike ʻia kahi hana kikoʻī, no ka laʻana: D(x2), D(hele x) etc.
A laila kau ʻia kahi hōʻailona like a kākau ʻia nā waiwai kikoʻī:
- Ma o kahi semicolon, hōʻike mākou i nā palena hema a me ka ʻākau o ka wā e pili ana i nā waiwai ma ke axis. 0x (ʻoi loa ma kēlā kauoha).
- Inā ʻo ka palena i loko o ka wehewehe ʻana, e kau i kahi pale huinaha ma ka ʻaoʻao, a i ʻole, he pale pōʻai.
- Inā ʻaʻohe palena hema, kuhikuhi mākou "-∞", akau - "∞" (heluhelu ʻia ʻo “minus/plus infinity”).
- Inā pono, inā makemake ʻoe e hoʻohui i kekahi mau pae, hana ʻia kēia me ka hoʻohana ʻana i kahi hōʻailona kūikawā “∪”.
ʻo kahi laʻana:
- [3; 10] ʻo ia ka hoʻonohonoho o nā waiwai āpau mai ʻekolu a hiki i ka ʻumi;
- [4; 12) - mai ʻehā a i ʻumikūmālua wale nō;
- (-2; 7] – mai ka emi ʻelua a i ka hui pū ʻana me ʻehiku.
- [-10; -4) ∪ (2, 8) – mai ka emi ʻumi a i emi ʻehā wale nō a mai ʻelua a ʻewalu wale nō.
'Ōlelo Aʻo:
- Ua kākau ʻia nā helu a pau i ʻoi aku ma mua o ka zero penei: (0; ∞);
- ʻino nā mea a pau: (-∞; 0);
- Helu maoli a pau: (-∞; ∞) ole 'ole R.
Nā kikowaena o nā hana like ʻole
Nānā nui | Launch | Lahui o ka wehewehe (D) | |||
Ke laina | Me ka pana | «> | mole | «> | |
me ka logarithm | wikiō | ʻO nā helu maoli a pau, me ka laulā kikoʻī e pili ana i ka waiwai amaikaʻi a maikaʻi ʻole, integer a fractional. | |||
mana | E like me ka hana exponential. | ||||
ʻO Sine | ʻEhina | ||||
Tangent | Cotangent | Moʻolelo mua Komo mua: Kaʻana like ʻana i nā puke hana Excel Ke komo hou Ke komo hou: Hoʻopono Kūʻē ma Excel Pivot Tables Waiho i ka manaʻo hoʻopukaana pane |