Makemakika Kula Kiʻekiʻe

Nā Pilikia Hoʻohālike a me ke Kūkākūkā ʻana i ka Derivative o kahi Hana ʻO ka derivative o kahi hana he manaʻo nui ia i ka calculus nona nā noi ākea ma nā ʻano aʻo like ʻole, e like me ke kino, ka hoʻokele waiwai, a me ka ʻenekinia. E uhi kēia ʻatikala i kekahi mau pilikia hoʻohālike a me nā kūkākūkā e pili ana i ka manaʻo o ka derivative o kahi hana e hāʻawi i kahi ʻike hohonu o kēia kumuhana. Wehewehena Kumu o kahi Derivative Ma mua… E heluhelu hou aku

Nā Pilikia Hoʻohālike a me ke Kūkākūkā ʻana o nā Derivatives Function. ʻO ka derivative kahi manaʻo nui i ka calculus e pāʻani ana i kahi kuleana koʻikoʻi i nā noi like ʻole o ka makemakika, physics, engineering, a me nā ʻepekema ʻē aʻe. Ma kēia ʻatikala, e kūkākūkā mākou i kekahi mau pilikia hoʻohālike me nā derivatives function a me kā lākou wehewehe ʻana. Ma ka hoʻomaopopo ʻana i ke kumumanaʻo o nā derivatives, e ʻike mākou he maʻalahi ke hoʻopili iā lākou i nā pilikia like ʻole. Ka Hoʻomaopopo Kumu o nā Derivatives Derivatives… E heluhelu hou aku

Nā Pilikia Laʻana a me ke Kūkākūkā ʻana o nā Noi Palena Hana. ʻO nā palena hana kahi manaʻo nui i ka calculus, i hoʻohana pinepine ʻia e hoʻoholo i ke ʻano o kahi hana i kona hoʻokokoke ʻana i kahi kiko. I ka makemakika, ʻoiai ke calculus, he mea nui ka hoʻomaopopo ʻana i nā palena hana no ka hoʻokumu ʻana i ke kumu no nā manaʻo holomua like ʻole e like me nā derivatives a me nā integrals. E uhi kēia ʻatikala i nā pilikia laʻana a me ke kūkākūkā ʻana o… E heluhelu hou aku

Nā pilikia hoʻohālike e kūkākūkā ana i nā palena o nā hana Trigonometric Hoʻolauna ʻO ka palena o kahi hana he manaʻo nui ia i ka calculus, ʻo ia ka waiwai i hoʻokokoke ʻia e kahi hana i ka wā e hoʻokokoke aku ai kāna loli i kahi waiwai. Ma kēia kūkākūkā ʻana, e kālele mākou i nā palena o nā hana trigonometric, ka mea e ʻike pinepine ʻia ma nā noi like ʻole o ka makemakika, me ka physics, ka ʻenekinia, a me ka ʻepekema kamepiula. Nā hana Trigonometric… E heluhelu hou aku

Nā pilikia hoʻohālike e kūkākūkā ana i nā palena o nā hana algebraic. ʻO ka palena o kahi hana algebraic kahi manaʻo nui i ka calculus e kūkākūkā ana i ke ʻano o kahi hana i ka wā e hoʻokokoke aku ai kona mau waiwai loli i kahi kiko. He mea nui ka hoʻomaopopo ʻana i nā palena i nā noi makemakika like ʻole, me ka nānā ʻana i ka makemakika a me ke kumu hoʻohālike. E wehewehe kēia ʻatikala i ke kumumanaʻo o nā palena o nā hana algebraic ma ka hāʻawi ʻana i kekahi mau pilikia hoʻohālike... E heluhelu hou aku

Nā Nīnau Hoʻohālike a me ke Kūkākūkā ʻana i nā Waiwai o nā Palena Hana Hoʻolauna ʻO ka palena o kahi hana he manaʻo nui ia i ka calculus e pāʻani ana i kahi kuleana koʻikoʻi i ka loiloi makemakika a me nā noi ʻepekema like ʻole. Kōkua nā palena hana iā mākou e hoʻomaopopo i ke ʻano o kahi hana i ka wā e hoʻokokoke aku ai kahi loli i kahi waiwai. Hāʻawi kekahi mau waiwai o nā palena hana iā mākou i nā mea hana no ka helu ʻana a me ka hoʻoponopono ʻana i nā palena me ka maʻalahi. Ma … E heluhelu hou aku

Nā Pilikia Hoʻohālike e Kūkākūkā ana i ka Wehewehena o nā Palena Hana Hoʻolauna Ma ka calculus, he mea koʻikoʻi a he kumu ka manaʻo o nā palena. ʻO ka hoʻomaopopo ʻana i nā palena o kahi hana ke kī i ka nānā ʻana i kāna ʻano i kona hoʻokokoke ʻana i kahi kiko i hāʻawi ʻia. Ma kēia ʻatikala, e kūkākūkā mākou i ka wehewehe ʻana o kahi palena hana me nā kikoʻī, me kekahi mau pilikia hoʻohālike a me kā lākou mau hoʻonā. ʻO ka pahuhopu ka hāʻawi ʻana i kahi ʻike hohonu o ke kumumanaʻo o nā palena… E heluhelu hou aku

Nā Nīnau Hoʻohālike a me ke Kūkākūkā ʻana o nā Tangents i nā ʻĀpana Conic Hoʻolauna ʻO kahi ʻāpana conic kahi piʻo i loaʻa mai ka hui ʻana o kahi mokulele me kahi cone dipolar. ʻO kēia mau piʻo e komo pū me nā pōʻai, ellipses, parabolas, a me nā hyperbolas. ʻO kahi kumuhana koʻikoʻi i ka hoʻomaopopo ʻana i nā ʻāpana conic ʻo ia ka laina tangent. ʻO kahi tangent i kahi ʻāpana conic he laina e hoʻopā ana i ka piʻo o ka ʻāpana conic… E heluhelu hou aku

Nā Laʻana o nā Pilikia a me nā Kūkākūkā ma nā ʻĀpana Conic Parabolic He kumuhana koʻikoʻi nā ʻāpana Conic i ke geometry, e hoʻopuni ana i nā ʻano like ʻole e like me nā pōʻai, ellipses, hyperbolas, a me nā parabolas. ʻO kekahi o nā ʻano i ʻike nui ʻia a kūkākūkā pinepine ʻia ʻo ia ka parabola. Loaʻa i nā Parabolas nā noi like ʻole ma ka makemakika theoretical a me ke ola o kēlā me kēia lā, e like me ka hoʻolālā ʻana o nā antennas parabolic... E heluhelu hou aku

Laʻana o ka pilikia e kūkākūkā ana i nā ʻāpana Conic o nā Hyperbolas Hoʻolauna I ka makemakika, ʻo nā ʻāpana conic, i kapa pinepine ʻia he mau ʻāpana conic, he mau piʻo i loaʻa mai ka hui ʻana o kahi cone a me kahi mokulele. ʻEhā ʻano nui o nā ʻāpana conic: nā pōʻai, ellipses, parabolas, a me nā hyperbolas. Ma kēia ʻatikala, e kālele mākou i nā hyperbolas, hoʻokahi ʻano o… Heluhelu hou aku