Thaum koj ntsaws tus x-tus nqi rau hauv ib qho kev ua haujlwm derivative, y-tus nqi koj tau rov qab los ntawm DERIVATIVE qhia koj txoj kab nqes ntawm kab tangent kab hauv geometry, kab tangent (lossis yooj yim tangent) rau lub dav hlau nkhaus ntawm qhov taw tes yogtxoj kab ncaj nraim uas "tsuas yog kov" qhov nkhaus ntawm qhov taw tes Leibniz txhais tias nws yog txoj kab dhau los ntawm ob khub ntawm cov ntsiab lus tsis kawg ntawm txoj kab nkhaus. … Lo lus "tangent" los ntawm Latin tangere, "touch". https://en.wikipedia.org › wiki › Tangent
Tangent - Wikipedia
mus rau qhov tseem ceeb ntawm tus nqi ntawm x. SOLUTION: Koj nyob nraum kwv yees qhov nqes nqes.
Dab tsi yog qhov txawv ntawm txoj kab nqes thiab derivative?
Ib qho piv txwv ntawm ib qho kev ua haujlwm yog qhov sawv cev ntawm tus nqi ntawm kev hloov pauv ntawm ib qho kev sib txawv hauv kev sib raug zoo rau lwm qhov ntawm qhov muab rau ntawm qhov ua haujlwm. Txoj kab nqes piav qhia qhov kev sib tw ntawm txoj kab raws li kev sib raug zoo ntawm kev hloov pauv hauv y-tus nqi rau kev hloov pauv hauv x-tus nqi.
Dab tsi yog nqes hav?
Cov txiaj ntsig ntawm kev ua haujlwm ntawm ib qho kev sib txawv ntawm qhov kev xaiv tus nqi nkag, thaum nws tshwm sim, yog nqes hav ntawm kab tangent mus rau daim duab ntawm txoj haujlwm ntawm qhov ntawd. Cov kab tangent yog qhov zoo tshaj plaws linear approximation ntawm cov haujlwm nyob ze ntawm tus nqi nkag.
Puas nrhiav qhov derivative nrhiav txoj kab nqes?
Yog f'(x) yog tus derivative ntawm f(x), muab tus x tus nqi ntawm tus taw tes rau f'(x). Hais tias koj muaj f(x)=x2, ces tus derivative yog f'(x)=2x. Txhawm rau nrhiav qhov nqes hav ntawm x2 ntawm qhov taw tes (3, 9), muab tus nqi x ntawm qhov taw tes rau hauv qhov kev txiav txim: f'(3)=2⋅3=6. Yog li ntawm (3, 9) txoj haujlwm yog nqes mus rau ntawm 6 units.
Puas yog thawj qhov derivative txoj kab nqes?
Thawj thawj qhov kev ua haujlwm yog ib qho kev qhia uas qhia peb txoj kab nqes ntawm txoj kab tangent mus rau qhov nkhaus ntawm ib qho instant. Vim hais tias ntawm no txhais, thawj derivative ntawm ib tug muaj nuj nqi qhia peb ntau txog lub function.
