Ndapota ndipei pfupiso yechinoreva chinobva pane chimwe chinhu.
Context:Mumasvomhu, chinobva pabasa rechinhu chinoshanduka chaicho chinoyera kunzwisisika kwekuchinja kwebasa kukosha (output kukosha) zvine chekuita neshanduko muhurukuro yayo (input kukosha). Zvinhu zvinobva pane zvimwe zvinhu chishandiso chinokosha checalculus. Somuenzaniso, chinobva pachinzvimbo chechinhu chinofamba kana chichienzaniswa nenguva ndiko kumhanya kwechinhu chacho: ichi chinoratidza kuti chinzvimbo chechinhu chacho chinoshanduka nokukurumidza sei kana nguva ichifamba.  The rinobva basa imwe chete shanduka pane akasarudzwa chiyamuro ukoshi, kana ariko, ndiyo kutsvedza tangent mutsetse kuti girafu basa panguva iyoyo. Tangent line ndiyo yakanakisisa linear approximation yebasa iri pedyo neiyo kukosha kwekupinda. Nokuda kwechikonzero ichi, chigadzirwa chinowanzotsanangurwa se "chiyero chenguva pfupi chekuchinja", chiyero chekuchinja kwechinguva chiduku mukushanduka kunobva kune iyo yekushanduka kwakasununguka.  Zvinhu zvinobva pane zvimwe zvinhu zvinogona kuiswa muzvinhu zvinoshanduka-shanduka. Mukupfupisa uku, chinobva chinodudzirwazve sechishanduko chakananga chine girafu (mushure mekushandurwa kwakakodzera) yakanakisisa yakananga kusvika kune girafu yebasa rekutanga. Jacobian matrix ndiyo matrix inomiririra iyi shanduko yakatwasuka zvine chekuita nehwaro hwakapihwa nesarudzo yezvisaririra uye zvinoenderana zvinoshanduka. Inogona kuverengwa maererano nezvikamu zvakatorwa zvine chokuita nevanoshanduka vakazvimirira. Nokuda kwebasa rechokwadi-rinokosha rezvinhu zvinoverengeka, matrix yaJacobian inoderedza ku gradient vector.  Nzira yokuwana nayo chinobva pane chimwe inonzi kusiyanisa. Nzira yakasiana inonzi antidifferentiation. The fundamental theorem ye calculus inobatanidza antidifferentiation ne integration. Kusiyanisa uye kubatanidza zvinoumba mashandiro maviri makuru mucalculus yechinhu chimwe chete.
Chinobva pabasa rinoyera kunzwisisika kwekuchinja kwebasa rinobuda zvichienderana nekuchinja kwechinhu chinopinda. Somuenzaniso, kuti nzvimbo yechinhu inofamba nokukurumidza zvakadini munguva yakatarwa (kureva kuti, chinobva panzvimbo yacho maererano nenguva) ndiko kumhanya kwechinhu chacho.