Video: D2y dx2 yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Qhov thib ob derivative, d2 xya . dx2 ua , of thefunction y = f(x) is the derivative of dy. ua dx..
Ib yam li ntawd, D 2y dx 2 txhais li cas?
Qhov thib ob derivative yog dab tsi koj tau txais thaum koj txawv qhov derivative. Nco ntsoov tias qhov derivative ntawm ywith fwm rau x yog sau dy / dx kev . Qhov thib ob derivative yog sau d2 y/ dx kev2 , pronounced "dee ob y d x ua squared". Cov ntsiab lus nyob ruaj ruaj.
Ib sab saum toj no, inflection txhais li cas hauv lej? Ib ua paug taw tes yog ib tug taw tes ntawm ib tug nkhaus uas kos npe rau ntawm curvature (ie, concavity) hloov. Inflection cov ntsiab lus yuav yog cov ntsiab lus nyob ruaj khov, tab sis yog tsis yog lub zos maxima lossis lub zos minima. Piv txwv li, rau lub curveplotted saum toj no, lub ntsiab lus yog ib ua paug taw tes.
Tsis tas li ntawd, qhov thib ob derivative qhia koj li cas?
Cov thib ob derivative ntawm ib txoj haujlwm f ntsuas qhov concavity ntawm daim duab f. Function uas Secondderivative yog qhov zoo yuav concave up (tseem hu ua asconvex), txhais tau hais tias cov kab tangent yuav pw hauv qab daim duab ntawm qhov ua haujlwm.
dy dx txhais li cas?
Muaj ntau txoj cai yooj yim uas yuav siv tau los ua kom peb sib txawv ntau txoj haujlwm yooj yim. Yog hais tias y = somefunction ntawm x (nyob rau hauv lwm yam lus yog hais tias y yog sib npaug zos rau ib qho kev nthuav qhia muaj zauv thiab x's), ces tus derivative ntawm y (nrog rau x) yog sau. ua dy / dx kev , pronounced "dee y by dee x".
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