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If x^(2)+y^(2)=t-1/t andx^(4)+y^(4)=t^(2...

If `x^(2)+y^(2)=t-1/t andx^(4)+y^(4)=t^(2)+(1)/(t^(2)),` then prove that `(dy)/(dx)=(1)/(x^(3)y).`

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