if-u-and-v-are-real-valued-functions-of-x-then-d-dx-u-v-A-v-du-dx-u-dv-dx-u-2-B-v-du-dx-u-dv-dx-u-2-C-v-du-dx-u-dv-dx-v-2-D-u-dv-dx-v-du-dx-

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Question Number 34119 by Rio Mike last updated on 30/Apr/18

if u and v are real valued functions of x, then (d/dx)((u/v))= A. ((v(du/dx)− u(dv/dx))/u^2 ) B. ((v(du/dx)− u(dv/dx))/u^2 ) C. ((v(du/dx)−u (dv/dx))/v^2 ) D. ((u(dv/dx) − v(du/dx))/v^2 )

$${if}\:{u}\:{and}\:{v}\:{are}\:{real}\:{valued}\:{functions} \\ $$$${of}\:{x},\:{then}\:\:\frac{{d}}{{dx}}\left(\frac{{u}}{{v}}\right)= \\ $$$${A}.\:\frac{{v}\frac{{du}}{{dx}}−\:{u}\frac{{dv}}{{dx}}}{{u}^{\mathrm{2}} }\:\:\:\:\:\:\:\:{B}.\:\:\frac{{v}\frac{{du}}{{dx}}−\:{u}\frac{{dv}}{{dx}}}{{u}^{\mathrm{2}} } \\ $$$${C}.\:\frac{{v}\frac{{du}}{{dx}}−{u}\:\frac{{dv}}{{dx}}}{{v}^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:\:{D}.\:\frac{{u}\frac{{dv}}{{dx}}\:−\:{v}\frac{{du}}{{dx}}}{{v}^{\mathrm{2}} } \\ $$

Answered by $@ty@m last updated on 30/Apr/18