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If (x^2 + y^2)^2 = xy , then (dy)/(dx) ...

If `(x^2 + y^2)^2 = xy , ` then `(dy)/(dx)` is

A

`(y+ 4x (x^2 + y^2))/(4y (x^2 + y^2 )-x)`

B

`(y-4x (x^2 + y^2))/(x + 4(x^2 + y^2))`

C

`(y - 4x (x^2 + y^2))/(4y (x^2 + y^2)-x)`

D

`(4y(x^2 + y^2)-x)/(y-4x(x^2 + y^2))`

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