if x/(x-y) = log(a/(x-y) ) prove that dy/dx= 2 - x/y Share with your friends Share 11 Tanveer Sofi answered this We havexx-y=logax-y⇒xx-y=loga-logx-y As, logmn=log m- log nDifferentiating both sides, with respect to x, we getx-yddxx-x ddxx-yx-y2=-1x-y ddxx-y As, ddxloga=0⇒x-y-x1-dydxx-y2=-1x-y 1-dydx⇒x-y-x1-dydx=-x-y 1-dydx⇒x-y=-x-y+x 1-dydx⇒x-y=y 1-dydx⇒1-dydx=x-yy=xy-1⇒-dydx=xy-2⇒dydx=2-xy. 30 View Full Answer
