Calculus e^xy=x/y?

Question

How do you find dy/dx using implicit differentiation?

Answer 1

derivating both sides
e^xy *(y +xy´)= 1/y^2 * (y-xy´)
y^3e^xy +( y^2*x*e^xy+x)*y´= y
so
y´=(y-y^3*e^xy)/(y^2*x*e^xy+x)