Question

Find dx/dy by implicit differentiation x^2=x+y/x−y

Answer 1

`{ \tt{ (dy)/(dx) ( {x}^(2)) = (dy)/(dx) ( (x + y)/(x - y)) }} \\ { \tt{2x = \frac{(x - y) (dy)/(dx) + (x + y) (dy)/(dx) }{ {(x - y)}^(2) } }} \\ { \tt{ (dy)/(dx)(2x) = 2x {(x - y)}^(2) }} \\ { \tt{ (dy)/(dx) = {(x - y)}^(2) }}`