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sqrt(1 - x^6) + sqrt(1 - y^6) = a^3(x^3 - y^3): find dy/dx

The same question, asked 2 times: 13 May 2026 S1, 19 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    13 May 2026 S1

    72
    If 1−x6+1−y6=a3(x3−y3)\sqrt{1 - x^6} + \sqrt{1 - y^6} = a^3(x^3 - y^3), then dydx=…\dfrac{dy}{dx} = \ldots

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  2. Question 2

    19 May 2026 S2

    70
    If 1−x6+1−y6=a3(x3−y3)\sqrt{1 - x^6} + \sqrt{1 - y^6} = a^3(x^3 - y^3), then dydx=…\dfrac{dy}{dx} = \ldots

    Tap an option to check your answer.