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If x^2/3 + y^2/3 = a^2/3, then dy dx is equal to :

CUET UG 2023 — Mathematics Applied-Mathematics

2023mcqmedium

If x2/3+y2/3=a2/3x^{2/3} + y^{2/3} = a^{2/3}x2/3+y2/3=a2/3, then dydx\frac{dy}{dx}dxdy​ is equal to :

Official previous-year question

Held on 22 May 2023 · Verified 13 Jul 2026.

Options

  1. A

    −yx3-\sqrt[3]{\frac{y}{x}}−3xy​​

  2. B

    −3yx-3\sqrt{\frac{y}{x}}−3xy​​

  3. C

    yx3\sqrt[3]{\frac{y}{x}}3xy​​

  4. D

    −yx-\sqrt{\frac{y}{x}}−xy​​

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