Xeerarka aasaasiga ah ee kaladuwan, codsatay xisaabta

Si aad u bilaabaan, waxaa haboon in la xasuusnaado kala duwan in sida iyo macnaha xisaabeed ay xambaarsan tahay.

function duwanaanshaha waa wax soo saarka ah ee shaqada derivative of muran ku saabsan kala duwan ee wax xuja ah. Xisaab ahaan, fikradda waxaa loo qori karaa sida hadal ah: haysid = y '* DX.

Taa baddalkeeda, si loo ogaado derivative of y sinnaanta '= Lim DX-0 (haysashada / DX), iyo si loo ogaado xadka - haysashada muujinta / DX = x' + α, halkaas oo α dhimaya waa tirada xisaabta infinitesimal.

Haddaba sidaas daraaddeed, labada dhinac ee ra'yi dhiibashada waa in la sii badisay by DX, kuwaas oo ugu dambeyntii ku siinayaa = y '* DX + α DX * haysid, halkaas oo DX - waa isbedel infinitesimal in doodda, (α DX *) - qiimaha oo la dayacay karo, markaas haysid - inremantiga hawlaha, iyo (y DX *) - qaybta ugu muhiimsan ee inremantiga ama kala duwan.

function duwanaanshaha waa wax soo saarka ah ee shaqada derivative on kala duwan ee wax xuja ah.

Haddaba waxaa lagama maarmaan ah in la tixgeliyo xeerarka aasaasiga ah ee ku kaladuwan yihiin, kuwaas oo inta badan loo isticmaalaa in falanqaynta xisaabta.

Aragtida. lacagta derivative si siman u soo tiriya reer reer waxyaabaha ka soo qaybaha helay: (a + c) = a '+ c'.

Sidoo kale, xeerkan uu noqon doono mid firfircoon for derivative of farqiga.
cidhibtii danogo xeerarka ku kaladuwan yihiin waa caddaynta in derivative of tiro ka mid ah marka la eego si siman u soo tiriya reer reer badeecada helay shuruudahan.

Tusaale ahaan, haddii aad rabto in aad ka heli derivative of muujinta (a + c-k) ', ka dibna natiijadu waa hadal ah oo ah' + c 'k'.

Aragtida. Shayga derivative of hawlaha xisaabta differentiable at hal dhibic si siman u soo tiriya qolo oo ka kooban wax soo saarka ee factor ugu horeeyay ee derivative labaad iyo wax soo saarka ee factor labaad derivative ugu horeysay.

Aragtida waxaa xisaab ahaan ku qoran sida soo socota: (a * c) '= * a a' + a '* s. cidhibtii of Aragtida waa gabagabo in factor ee joogto ah ee derivative ee alaabta laga qaadi doono ka baxsan shaqada derivative.

In foomka of tibaaxda aljebrada, xeerkan waxaa qoran sida soo socota: (a * c) = a * a ', halkaas oo a = const.

Tusaale ahaan, haddii aad rabto in aad ka heli derivative of muujinta (2a3), natiijadu waa jawaabta: 2 * (A3) = 2 * 3 * 6 * A2 = A2.

Aragtida. xiriirka derivative hawlaha loo siman yahay si ay saamiga u dhexeeya farqi ah ee derivative of sareeyaha ay hooseeyaha iyo sareeyaha jeer derivative of hooseeyaha iyo square ee hooseeyaha waa tarmay.

Aragtida waxaa xisaab ahaan ku qoran sida soo socota: (a / c) '= ( a' * a * a-c) / ^2.

Gebogebadii, waxaa lagama maarmaan ah in la tixgeliyo xeerka for kala hawlaha farcan.

Aragtida. Marka la eego a fuktsii y = f (x), halkaas oo x = c (t), ka dibna y shaqada, marka la eego t ku variable, loo yaqaan dhismaha.

Sidaas darteed, falanqaynta xisaabeed ee derivative of function ah farcan waxaa lagu daaweeyaa sida derivative ah shaqada by derivative of-hawlaha sub ay bateen. Wixii habboonaan ee xeerarka ku kaladuwan yihiin hawlaha adag tahay in foomka of miis.

Iyadoo isticmaalka joogtada ah ee shaxdan aad si fudud u xusuusan taagayo. Inta kale ee ka taagayo hawlaha adag waxaa laga heli karaa, haddii aan codsan xeerarka kala ah hawlaha oo la dhigay in ka aragti iyo corollaries iyaga.