If \( \sqrt{1-x^{6}}+\sqrt{1-y^{6}}=a\left(x^{3}-y^{3}\right) \) an...

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If \( \sqrt{1-x^{6}}+\sqrt{1-y^{6}}=a\left(x^{3}-y^{3}\right) \) and \( \frac{d y}{d x} \) \( =f(x, y) \sqrt{\frac{1-y^{6}}{1-x^{6}}} \) then
(a) \( f(x, y)=y / x \)
(b) \( f(x, y)=x^{2} / y^{2} \)
(c) \( f(x, y)=2 y^{2} / x^{2} \)
(d) \( f(x, y)=y^{2} / x^{2} \)
\( \mathrm{W} \)
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