Yuav ua li cas thiaj nrhiav tau qhov sib txawv?

Cov txheej txheem:

Yuav ua li cas thiaj nrhiav tau qhov sib txawv?
Yuav ua li cas thiaj nrhiav tau qhov sib txawv?
Anonim

Yuav kom nrhiav tau thaum muaj nuj nqi yog concave, koj yuav tsum xub coj 2nd derivative 2nd derivative Qhov thib ob derivative ntawm ib tug muaj nuj nqi f siv tau los txiav txim qhov concavity ntawm daim duab f. Ib qho kev ua haujlwm uas nws qhov thib ob yog qhov zoo yuav ua rau concave (tseem hu ua convex), txhais tau hais tias cov kab tangent yuav pw hauv qab daim duab ntawm txoj haujlwm. https://en.wikipedia.org › wiki › Second_derivative

Second derivative - Wikipedia

tom qab ntawd muab nws sib npaug rau 0, thiab tom qab ntawd nrhiav ntawm qhov twg xoom qhov txiaj ntsig qhov kev ua haujlwm tsis zoo. Tam sim no sim ntsuas qhov tseem ceeb ntawm txhua sab ntawm cov no kom pom thaum lub luag haujlwm tsis zoo, thiab yog li txo qis.

Koj pom qhov concavity ntawm daim duab li cas?

Peb tuaj yeem xam qhov thib ob derivative los txiav txim qhov concavity ntawm txoj haujlwm nkhaus ntawm txhua qhov taw tes

  1. Xau qhov thib ob derivative.
  2. Hloov tus nqi ntawm x.
  3. Yog f "(x) > 0, daim duab yog concave upward ntawm tus nqi ntawm x.
  4. Yog f "(x)=0, daim duab yuav muaj qhov taw tes ntawm kev cuam tshuam ntawm tus nqi ntawm x.

Koj pom qhov ua haujlwm concave li cas?

Yuav kom paub tias nws yog concave los yog convex, saib qhov thib ob derivative. Yog tias qhov tshwm sim zoo, nws yog convex. Yog hais tias tsis zoo, ces nws yog concave. Txhawm rau nrhiav qhov thib ob derivative, peb rov ua cov txheej txheem siv raws li peb cov lus qhia.

Yuav ua li cas thiaj nrhiav tau txoj kab sib dhos?

Peb tuaj yeem nrhiav tauconcavity ntawm ib tug muaj nuj nqi los ntawm nrhiav nws ob derivative (f''(x)) thiab qhov twg nws yog sib npaug rau xoom. Cia peb ua li ntawd! Yog li qhov no qhia peb tias cov haujlwm linear yuav tsum nkhaus ntawm txhua qhov chaw. Paub tias daim duab ntawm kev ua haujlwm yog ib txoj kab ncaj nraim, qhov no tsis tsim nyog, puas yog?

Yuav ua li cas koj thiaj pom qhov tsis sib haum xeeb?

Yuav Ua Li Cas Pom Qhov Nruab Nrab ntawm Concavity thiab Inflection Points

  1. Nrhiav qhov thib ob derivative ntawm f.
  2. Teem thib ob derivative sib npaug rau xoom thiab daws.
  3. Txiav txim siab seb qhov thib ob derivative tsis tau txhais rau ib qho x-tus nqi. …
  4. Tshaj cov lej no ntawm ib kab ntawm tus lej thiab sim cov cheeb tsam nrog tus lej thib ob.

Pom zoo:

Nthuav cov khoom
Thaum twg tus menyuam ya mus?
Nyeem ntxiv

Thaum twg tus menyuam ya mus?

Fledglings feem ntau pib sim ya thaum cov noog muaj kwv yees li ob lub lis piam, thiab txawm tias lawv tau pib tawm hauv lub zes, lawv tsis nyob ntawm lawv tus kheej, raws li cov Massachusetts Audubon Society. Cov niam txiv feem ntau nyob ze, saib xyuas lawv cov xeeb ntxwv thiab tseem muab zaub mov.

Ntau npaum li cas 99 chinning osrs?
Nyeem ntxiv

Ntau npaum li cas 99 chinning osrs?

Feem ntau, rau 99 ntau yam, koj xav tias yuav siv sijhawm 40+ hnub kev cob qhia siv hlau lossis hlau riam phom. Tab sis kuj ceeb tias, txoj kev no raug nqi txog 30M-55Mnrog rune xub lossis mithril ntuav riam. Ntxiv rau, koj tuaj yeem ua tiav 60-99 ntau yam hauv tsawg li 15 hnub.

Dab tsi yog qhov txawv ntawm lub tshuab hluav taws xob thiab lub tshuab hluav taws xob?
Nyeem ntxiv

Dab tsi yog qhov txawv ntawm lub tshuab hluav taws xob thiab lub tshuab hluav taws xob?

Gramophone: Txhua lub suab kaw suab, lossis cov cuab yeej ua si yav dhau los-cov suab kaw, tshwj xeeb tshaj yog tias nws siv lub tiaj tiaj tiaj. Phonograph: Txhua lub suab kaw suab, lossis cov cuab yeej siv rau kev ua si cov suab uas tau kaw dhau los, tshwj xeeb tshaj yog tias nws siv lub tog raj kheej tig.