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

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

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