Question Number 34119 by Rio Mike last updated on 30/Apr/18
$${if}\:{u}\:{and}\:{v}\:{are}\:{real}\:{valued}\:{functions} \\ $$$${of}\:{x},\:{then}\:\:\frac{{d}}{{dx}}\left(\frac{{u}}{{v}}\right)= \\ $$$${A}.\:\frac{{v}\frac{{du}}{{dx}}−\:{u}\frac{{dv}}{{dx}}}{{u}^{\mathrm{2}} }\:\:\:\:\:\:\:\:{B}.\:\:\frac{{v}\frac{{du}}{{dx}}−\:{u}\frac{{dv}}{{dx}}}{{u}^{\mathrm{2}} } \\ $$$${C}.\:\frac{{v}\frac{{du}}{{dx}}−{u}\:\frac{{dv}}{{dx}}}{{v}^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:\:{D}.\:\frac{{u}\frac{{dv}}{{dx}}\:−\:{v}\frac{{du}}{{dx}}}{{v}^{\mathrm{2}} } \\ $$
Answered by $@ty@m last updated on 30/Apr/18
$${C} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 01/May/18
$${Ans}\:{C} \\ $$
Answered by rahul 19 last updated on 01/May/18
$${C}. \\ $$$${It}'{s}\:{simply}\:{quotient}\:{rule}. \\ $$