The inokosha mitemo Kusiyanisa, vakashandisa masvomhu

Chokutanga, zvinokosha kuyeuka kuti differential kwakadaro uye anoreva kwemasvomhu nayo anotakura.

Differential basa ndiye zvibereko rinobva kushanda nharo pamusoro differential renharo. Mathematically, pfungwa iyi inogona kunyorwa sokuratidzwa: Dy = y '* yori.

Uyewo, kuti kuona rinobva pamusoro kuenzana and '= nevaNefirimu yori-0 (Dy / yori), uye kuona muganhu - mashoko Dy / yori = x' + α, apo parameter α riri kamwoyo kwemasvomhu uwandu.

Naizvozvo, mativi ose okuti zvinofanira kane yori, izvo pakupedzisira anopa Dy = y '* yori + α * yori, apo yori - chinhu kamwoyo Kuchinja nharo, (α * yori) - kukosha rinogona kuregeredzwa, ipapo Dy - increment mabasa, uye (and * yori) - huru chikamu increment kana differential.

Differential basa ndiye zvibereko rinobva basa iri differential renharo.

Zvino zvakafanira kuti funga inokosha nemitemo Kusiyanisa, izvo inowanzoshandiswa kwemasvomhu kuongorora.

Theorem. Rinobva mari yakaenzana Verengai zvigadzirwa vakawana kubva zvinoriumba: (a + c) = munhu '+ c'.

Saizvozvowo, mutemo uyu uchava tichishingaira kuti rinobva musiyano.
Mhedzisiro danogo mitemo Kusiyanisa ndiko kutaura kuti rinobva vanoverengeka mashoko akaenzana Verengai zvigadzirwa vakawana nemazwi aya.

Somuenzaniso, kana uchida kuwana rinobva kutaura (a + C-k) ', ipapo mugumisiro kuratidzwa imwe' + c 'K'.

Theorem. The rinobva yemudzimu kwemasvomhu mashandiro differentiable pane pfungwa akaenzana Verengai zvinosanganisira zvibereko rokutanga chokufunga rechipiri rinobva zvinobva wechipiri chokufunga wokutanga rinobva.

Theorem ari mathematically zvakanyorwa sezvinotevera: (a * c) '= mumwe munhu' + munhu '* s. Mhedzisiro yacho theorem no kuguma kuti dzose chinokonzera rinobva pamusoro chigadzirwa zvingarerutswa kunze rinobva basa.

Muchimiro ane algebraic okuti, mutemo uyu zvakanyorwa sezvinotevera: (a * c) = mumwe munhu ', apo munhu = const.

Somuenzaniso, kana uchida kuwana rinobva kutaura (2a3) ', mugumisiro ndiyo mhinduro: 2 * (A3) = 2 * 3 * 6 * A2 = A2.

Theorem. Rinobva ukama mabasa akaenzana reshiyo pakati musiyano pakati rinobva kuna numerator kuwanda pedyo dhinomineta uye numerator nguva rinobva kuna dhinomineta uye mativi ose dhinomineta.

Theorem ari mathematically zvakanyorwa sezvinotevera: (a / c) '= ( munhu' * mumwe munhu-c ') / ^2.

In mhedziso, zvakakodzera kufunga mutemo differentiating kumiririra mabasa.

Theorem. Kupiwa fuktsii Y = d (x), apo x = C (T), zvino basa and, panyaya shanduka t, akadana zvakaoma.

Saka, muna kwemasvomhu Kuongorora rinobva ane zvinoumba basa iri sevanhu rinobva pakati mashandiro kuwanda nokuda rinobva yawo Sub-mabasa. Nokuti zvivanakire nemitemo Kusiyanisa kunzwisisa mashandiro zviri muchimiro tafura.

With Kushandiswa tafura ichi nguva dzose zviri nyore kuyeuka nomukaka. The Mamwe nomukaka kunzwisisa mashandiro inogona kuwanika, kana tikashandisa nemitemo Kusiyanisa mitambo dzave kusimuka theorems uye corollaries kwavari.