(x/y)-x^2 =1

Question

implicit ?

Answer 1

x/y - x^2 = 1
1/y - x/y^2 y' - 2x = 0
x/y^2 y' = 1/y - 2x
y' = y^2/x (1/y - 2x)
= y/x - 2y^2