To determine

To differentiate: xey=y-1

Answer

Answer: y'=ey1-xey

Explanation

Differentiating w.r.t x

ddxxey=ddxy-1

xddxey+ey.1=dydx

x.ey.y'+ey=y'

y'1-xey=ey

y'=ey1-xey

Formula used:

ddxuv=uv'-vu'

Conclusion:

y'=ey1-xey