Question

If e^x+y = xy then dy/dx = ?

A. x(1-y)/y(x-1)

B. y(1-x)/x(y-1)

C. (x-xy)/(xy-y)

D. none of these

Answer 1

Answer is: B. y(1-x)/x(y-1)

Given that xy = e^x+y

Taking log both sides, we get

Differentiating with respect to x, we get