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If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), ...

If `sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),` then prove that `(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))`

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