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Find (dy)/(dx), when: (x^(2)+y^(2))^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
`((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)).`
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