Makemakika Kula Kiʻekiʻe

Nā Laʻana o nā Pilikia e Kūkākūkā ana i ka Hoʻohana ʻana o nā Derivatives ma nā ʻAno ʻEpekema like ʻole Hoʻolauna: ʻO ka derivative kahi manaʻo nui i ka calculus nona nā noi he nui ma nā ʻano ʻepekema a me nā ʻenekinia like ʻole. Hōʻike nā Derivatives i ka wikiwiki o ka loli o kahi hana a hiki ke hoʻohana ʻia e ʻike i nā helu kiʻekiʻe a me ka liʻiliʻi, hoʻoponopono i nā pilikia optimization, a kālailai i ka ulu ʻana a me ka emi ʻana i loko o kahi ʻōnaehana. Ma kēia ʻatikala… E heluhelu hou aku

Nā Pilikia Laʻana a me ke Kūkākūkā ʻana o nā Kiko Loa: Nā Waiwai Hoʻihoʻi Liʻiliʻi a me ka Kiʻekiʻe Loa ʻO ka hoʻoholo ʻana i nā kiko loa, nā kiko kahi e hiki ai kahi hana i kona waiwai liʻiliʻi a kiʻekiʻe paha, he manaʻo nui ia i ka calculus a me ka loiloi makemakika. Ma kēia ʻatikala, e ʻimi mākou pehea e loaʻa ai a kālailai i nā kiko loa ma o kekahi mau pilikia laʻana e pili ana i nā hoʻihoʻi liʻiliʻi a kiʻekiʻe loa.

He kumuhana hohonu loa nā hana makemakika a piha i nā ʻano like ʻole, ʻo kekahi o ia pehea e hiki ai ke kālailai ʻia ma ke ʻano o ka hoʻonui ʻana, ka emi ʻana, a i ʻole nā ​​kūlana paʻa. ʻO ka ʻike inā e hoʻonui ana, e emi ana, a i ʻole e mau ana kahi hana ma kahi manawa i hāʻawi ʻia he mea nui ia i nā ʻano like ʻole... E heluhelu hou aku

Poʻomanaʻo: Nā Nīnau Hoʻohālike a me ke Kūkākūkā ʻana i ka Hoʻohālikelike o kahi Laina Tangent i kahi Piʻo Hoʻolauna ʻO ka hoʻohālikelike o kahi laina tangent i kahi piʻo he manaʻo koʻikoʻi ia i ka makemakika, ʻoi aku hoʻi i ka calculus a me ke geometry analytical. ʻO kahi laina tangent i kahi piʻo he laina e hoʻopā ana i ka piʻo ma kahi kiko i hāʻawi ʻia me ka ʻole o ke komo ʻana. Loaʻa i kēia laina ka pali like me ka pali o ka piʻo ma ia kiko. ʻAtikala … E heluhelu hou aku

Nā Pilikia Hoʻohālike a me ke Kūkākūkā ʻana i nā Noi Derivative. ʻO nā Derivatives kahi manaʻo kumu o ka calculus nona nā noi he nui i ke ola o kēlā me kēia lā a me nā ʻoihana ʻepekema ʻē aʻe, e like me ke kino, ka hoʻokele waiwai, ka biology, a me ka ʻenekinia. Ma kēia ʻatikala, e kūkākūkā mākou i kekahi mau pilikia hoʻohālike a me nā kūkākūkā e pili ana i nā noi derivative, ʻoi aku hoʻi i ka pōʻaiapili o ka hoʻonui ʻana a me ka nānā ʻana i ka hana. Hoʻolauna i nā Noi Derivative… E heluhelu hou aku

Nā pilikia hoʻohālike o ke kaulahao a me ke kūkākūkā ʻana ma nā Derivatives ʻO ke kaulahao kekahi o nā manaʻo nui loa i ka calculus differential, i hoʻohana ʻia e helu i ka derivative o kahi hana he haku mele o ʻelua a ʻoi aku paha nā hana. Ma kēia ʻatikala, e kūkākūkā mākou i ke kumumanaʻo kumu o ke kaulahao, pehea e hoʻohana ai, a me nā hiʻohiʻona o ia mea i nā pilikia derivative i loaʻa pinepine ʻia, ʻelua… E heluhelu hou aku

Nā Pilikia Hoʻohālike a me ke Kūkākūkā ʻana i nā Derivatives o nā Hana Trigonometric. ʻO ka derivative kahi manaʻo nui i ka calculus i hoʻohana pinepine ʻia e wehewehe i ka wikiwiki o ka loli o kahi hana. I ke ʻano o nā hana trigonometric, kōkua ka derivative iā mākou e hoʻomaopopo pehea e hoʻopilikia ai nā loli i nā kihi i ka waiwai o ka hana trigonometric. Ma kēia ʻatikala, e kūkākūkā mākou i kekahi mau pilikia hoʻohālike a me nā hoʻonā e pili ana i nā derivatives... E heluhelu hou aku

Nā pilikia hoʻohālike e kūkākūkā ana i ka Derivative o kahi Hana Algebraic. ʻO ka derivative i ka calculus kahi manaʻo kumu i hoʻohana ʻia e wehewehe pehea e loli ai kahi hana, a i ʻole ka piʻo o kahi hana ma kahi kiko. He mea pono nā Derivatives i nā ʻano like ʻole e like me ka physics, economics, a me ka ʻenekinia no ka mea hāʻawi lākou i ka ʻike e pili ana i ka wikiwiki o ka loli. Ma kēia ʻatikala, e… Heluhelu hou aku

Nā nīnau hoʻohālike a me ke kūkākūkā ʻana i nā waiwai o nā derivatives o nā hana. ʻO ka derivative o kahi hana he manaʻo nui ia i ka calculus he mea pono loa ia no ka nānā ʻana i ke ʻano o kekahi mau hana. Ma kēia ʻatikala, e kūkākūkā mākou i kekahi mau nīnau hoʻohālike a kūkākūkā i nā waiwai o nā derivatives o nā hana. Hoʻolauna i nā Derivatives o nā Hana Ua hōʻike ʻia ka derivative o kahi hana \( f \) e like me \( f'(x) \). ʻO ka derivative mua o kahi hana e hāʻawi... E heluhelu hou aku

Nā Laʻana o nā Pilikia e Kūkākūkā ana i ke Kākau ʻana i ka Derivative o kahi Hana: ʻO ka function derivative kahi manaʻo nui i ka calculus i hoʻohana pinepine ʻia ma nā ʻano ʻepekema like ʻole, e like me ke kino, ka hoʻokele waiwai, ka biology, a me ka ʻenekinia. Ana ka derivative o kahi hana i ka wikiwiki o ka loli ʻana o ka waiwai o ka hana e pili ana i nā loli i kāna mau loli kūʻokoʻa. Ma kēia ʻatikala, e kūkākūkā mākou i kekahi mau laʻana o nā pilikia e pili ana i ke kākau ʻana i nā derivatives... E heluhelu hou aku