Kev Kawm Lej Hauv Tsev Kawm Ntawv Theem Siab

Lub Tswv Yim ntawm Derivative ntawm Ib Lub Function Lub derivative ntawm ib lub function yog lub tswv yim tseem ceeb hauv calculus uas ua lub luag haujlwm tseem ceeb hauv ntau ceg ntawm kev tshawb fawb, suav nrog physics, economics, engineering, thiab lwm yam. Lub derivative muab cov ntaub ntawv hais txog yuav ua li cas ib lub function hloov pauv thiab nws cov nqi cuam tshuam li cas rau nws cov hloov pauv ywj pheej. Kev Taw Qhia rau Lub Tswv Yim ntawm Derivative Qhov tseem ceeb, ib qho derivative ntsuas tus nqi ntawm… Nyeem ntxiv

Kev Ua Haujlwm Derivative: Lub Tswv Yim, Kev Siv, thiab Kev Xam Tus derivative ntawm kev ua haujlwm yog lub tswv yim tseem ceeb hauv kev xam thiab muaj ntau daim ntawv thov hauv ntau qhov chaw ntawm kev tshawb fawb, xws li physics, kev lag luam, biology, thiab engineering. Los ntawm kev nkag siab txog derivative, peb tuaj yeem tshuaj xyuas seb qhov kev ua haujlwm hloov pauv li cas raws li tus nqi ntawm nws cov hloov pauv ywj pheej hloov pauv. Hauv tsab xov xwm no, peb yuav tham txog cov hauv paus ntawm kev ua haujlwm derivative, qee qhov… Nyeem ntxiv

Kev Siv Cov Kev Txwv ntawm Kev Ua Haujlwm: Kev txwv yog lub tswv yim tseem ceeb hauv kev suav lej uas piav qhia txog tus cwj pwm ntawm kev ua haujlwm thaum nws cov tswv yim mus txog qee tus nqi. Hauv kev suav lej, kev txwv ntawm kev ua haujlwm ua lub luag haujlwm tseem ceeb hauv kev nkag siab txog kev loj hlob, kev sib txuas, thiab kev hloov pauv ntawm kev ua haujlwm. Lub tswv yim ntawm kev txwv yog lub hauv paus rau cov derivatives thiab integrals, ob lub hauv paus tseem ceeb ntawm kev suav lej. Dhau li ntawm nws lub luag haujlwm theoretical, kev txwv kuj muaj… Nyeem ntxiv

Cov Kev Txwv ntawm Trigonometric Functions Cov Kev Txwv yog ib lub tswv yim tseem ceeb hauv kev xam lej uas tshwm sim hauv ntau ceg ntawm kev suav lej thiab kev tshawb fawb. Cov Kev Txwv yog ib qho cuab yeej muaj txiaj ntsig zoo hauv kev tshuaj xyuas cov haujlwm thiab kev hloov pauv, suav nrog kev nkag siab txog tus cwj pwm ntawm cov haujlwm trigonometric thaum lawv mus txog qee qhov chaw. Hauv tsab xov xwm no, peb yuav tshawb nrhiav lub tswv yim ntawm cov kev txwv hauv cov ntsiab lus ntawm cov haujlwm trigonometric, suav nrog cov txheej txheem rau kev suav lawv… Nyeem ntxiv

Cov Kev Txwv ntawm Algebraic Functions: Kev Piav Qhia thiab Kev Siv Kev Taw Qhia Kev suav lej yog ib qho kev kawm uas muaj ntau ceg thiab subfields, ib qho ntawm cov no yog calculus. Hauv calculus, lub tswv yim ntawm kev txwv yog qhov tseem ceeb thiab ua lub hauv paus rau kev nkag siab ntxiv txog derivatives thiab integrals. Hauv tsab xov xwm no, peb yuav tshawb nrhiav cov kev txwv ntawm algebraic functions tob. Peb yuav pib… Nyeem ntxiv

Cov Khoom ntawm Kev Txwv ntawm Kev Ua Haujlwm Hauv kev suav lej, kev txwv yog lub tswv yim tseem ceeb uas siv ntau zaus hauv kev tshuaj xyuas thiab kev suav lej. Kev txwv pab peb nkag siab txog tus cwj pwm ntawm kev ua haujlwm thaum nws mus txog qee qhov nqi. Qhov kev nkag siab no tsis yog tsuas yog pab tau hauv kev kawm theoretical tab sis kuj muaj cov ntawv thov dav dav hauv kev tshawb fawb thiab kev tsim kho. Hauv tsab xov xwm no, peb yuav… Nyeem ntxiv

Txhais Qhov Txwv ntawm Ib Lub Function Thaum kawm txog calculus, ib qho ntawm cov tswv yim tseem ceeb thiab tseem ceeb tshaj plaws yog qhov txwv ntawm ib lub function. Cov txwv ua lub hauv paus rau ntau lwm yam hauv kev kawm lej siab heev, suav nrog cov derivatives thiab integrals. Kev nkag siab txog qhov txhais ntawm qhov txwv ntawm ib lub function thiab yuav ua li cas xam nws yog qhov tseem ceeb rau kev paub txog calculus. Hauv tsab xov xwm no, peb yuav tshawb nrhiav qhov txhais ntawm qhov txwv ntawm ib lub function, ... Nyeem ntxiv

Cov Kab Tangent rau Cov Seem Conic Cov seem conic yog ib lub tswv yim tseem ceeb hauv kev lej, tshwj xeeb tshaj yog hauv kev tshuaj ntsuam geometry. Lo lus "conic section" txhais tau tias yog qhov nkhaus tau los ntawm kev sib tshuam ntawm lub khob hliav qab nrog lub dav hlau. Muaj plaub hom tseem ceeb ntawm cov seem conic: lub voj voog, ellipse, parabola, thiab hyperbola. Hauv tsab xov xwm no, peb yuav tham txog lub tswv yim ntawm cov kab tangent rau… Nyeem ntxiv

Parabolic Conic Sections: Cov Khoom, Cov Kev Siv, thiab Qhov Tseem Ceeb hauv Lub Neej Txhua Hnub Kev Taw Qhia Conic sections yog ib qho kev kawm txaus nyiam hauv kev lej, tshwj xeeb tshaj yog hauv geometry. Muaj plaub hom tseem ceeb ntawm conic sections: voj voog, ellipses, parabolas, thiab hyperbolas. Hauv tsab xov xwm no, peb yuav delve tob dua rau hauv ib qho ntawm cov hom yooj yim tshaj plaws ntawm conic sections, tseem ... Nyeem ntxiv

Hyperbolic Conic Sections Kev Taw Qhia Hauv kev suav lej, tshwj xeeb tshaj yog hauv kev tshuaj xyuas geometry, conic sections yog ib qho kev kawm nthuav thiab dav. Muaj plaub hom tseem ceeb ntawm conic sections: voj voog, ellipses, parabolas, thiab hyperbolas. Hauv tsab xov xwm no, peb yuav tsom mus rau ib qho ntawm cov hom conic sections: lub hyperbola. Ib qho hyperbola muaj cov duab thiab cov khoom ... Nyeem ntxiv