Find `(dy)/(dx)`, when: `(x^(2)+y^(2))^(2)=xy`

1.	Find `(dy)/(dx)`, when: `(x^(2)+y^(2))^(2)=xy`
Answer» Correct Answer - `((y-4xy^(2)-4x^(3)))/((4y^(3)+4x^(2)y-x))` `x^(4)+y^(4)+2x^(2)y^(2)=xy` `rArr4x^(3)+4y^(3).(dy)/(dx)+4x^(2)y.(dy)/(dx)+4xy^(2)=x(dy)/(dx)+y` `rArr(4y^(3)+4x^(2)y-x)(dy)/(dx)=(y-4xy^(2)-4x^(3)).`

Discussion

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