If xy = ex – y, find 
.
The given function is xy = ex – y
Taking log on both sides, we obtain
log (xy)= log 
log x + log y = (x-y) log e
log x + log y = (x-y)
1
log x + log y = x-y
Differentiating both sides with respect to x, we obtain
54
If xy = ex – y, find .
The given function is xy = ex – y
Taking log on both sides, we obtain
log (xy)= log
log x + log y = (x-y) log e
log x + log y = (x-y)1
log x + log y = x-y
Differentiating both sides with respect to x, we obtain