Linear functions yog kab ncaj thaum exponential functions yog cov kab nkhaus. Koj tuaj yeem paub lawv los ntawm kev hloov pauv hauv y. Yog tias tib tus lej raug ntxiv rau y, ces qhov kev ua haujlwm muaj qhov hloov pauv tas li thiab yog linear. … Exponential functions feem ntau yuav nyob rau hauv daim ntawv ntawm y=(1 + r) x.
Koj qhia li cas yog tias muaj nuj nqi yog linear lossis exponential?
Txoj kab thiab kev sib raug zoo sib txawv ntawm txoj kev y-tus nqi hloov pauv thaum x-tus nqi nce los ntawm tus nqi tas li:
- Nyob hauv kev sib raug zoo, tus nqi y muaj qhov sib npaug sib npaug.
- Nyob rau hauv kev sib raug zoo exponential, y-tus nqi muaj qhov sib npaug.
Puas yog cov kab thiab exponential ua haujlwm zoo ib yam?
Cov kab zauv sib npaug zoo ib yam li qhov sib npaug exponential los ntawm ob leeg yuav tsum tau nce ntawm tus nqi tib yam li nws pib ntawm. Rau exponential, nws yuav tsum tau nce ntawm tus nqi tib yam nrog tus exponent, uas yog vim li cas nws tua ncaj.
Yuav ua li cas exponents nyob rau hauv ib tug linear muaj nuj nqi?
Piv txwv: Cov no yog cov kab zauv sib npaug:
Tab sis qhov sib txawv (xws li "x" lossis "y") hauv kab zauv sib npaug tsis muaj : exponents (xws li tus 2 hauv x2) square cag, cube cag, thiab lwm yam.
Yuav nthuav tawm kev loj hlob tuaj yeem yog linear?
Kev loj hlob ib txwm nyob ntawm tus nqi tib yam, qhov kev loj hlob exponential nce nrawm dua lub sijhawm. Ib txoj kab ua haujlwm zoo li f(x)=x muaj qhov sib txawv ntawm f'(x)=1, uas txhais tau hais tias nws muaj qhov loj hlob tsis tu ncua. … Ntawm qhov tod tes, ib qho exponential muaj nuj nqi zoo li g(x)=ex muaj ib tug derivative ntawm g'(x)=ex.
