Calculus

Waa cutubka Kalkulas.

Power Rule

Power rule (Xeerka jibbaarka) waa mid ka mid ah xeerarka ugu adeegsiga badan Kalkulaska, waxa uu dhigayaa:    Xigsinta(Derivative)  x^{n} waa nx^(n-1).

Second Derivarive

Xigsinta labaad waa xigidda xigsinta koowaad/ raadi derivative-ka derivative-kii hore ee aad soo saartay, haddaba:– Raadi xigsinta fansaarka– Kaddibna, sii xig isla xigsintaas. Xigsinta koowaad waxa ay nasiisaa tiirada xoodka(slope of the curve).Xigsinta labaadna waxa ay noo sheegtaa golxanaanta(concavity-ga) oo aynu dib ka baran doonno. Xigsinta koowaad waxaa u summad ah in xarriiq yar dusha …

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Product Rule

Xeerka isku-dhufashada (Product rule) waxa uu inoo sheegayaa habka loo xigo(differentiate) labo fansaar(function) oo isku dhufsan.Product rule waxa uu inoo sheegayaa habka loo raadiyo derivative-ka labo function oo isku dhufsan. Si aad u hesho xigsinta labo fansaar oo isku dhufsan():– xig fansaarka hore(f’) oo ku dhufo fansaarka dambe oo aan xignayn(g), kaddibna waxa aad ku …

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Quotient Rule:

Xeerka Isu qaybinta (Quotient rule) waxa uu inoo sheegayaa habka loo xigo labo fansaar (f&g) oo isu qaybsan   Si aad u hesho xigsinta labo fansaar oo isu qaybsan(), , raac tallaabooyinkan:– Xig fansaarka hore(f’) oo ku dhufo kan dambe(g) oo aan xignayn, kaddib waxa aad ka jartaa(–)– Fansaarka dambe(g’) oo xigan oo lagu dhuftay …

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