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)))`

Answer

`(1)/( 2 sqrt( a^(2) - x^(2)))`