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If 2 x y + 3 y x = 20, then \(\frac{dy}{dx}\) at (2, 2) is equal to: [JEE Main 2023, 6 Apr (Shift 1)]

If 2x^y + 3y^x = 20, then \(\frac{dy}{dx}\) at (2, 2) is equal to:

[JEE Main 2023, 6 Apr (Shift 1)]

\(−\left(\frac{3+{\log }_{e}8}{2+{\log }_{e}4}\right)\)

\(−\left(\frac{2+{\log }_{e}8}{3+{\log }_{e}4}\right)\)

\(−\left(\frac{3+{\log }_{e}4}{2+{\log }_{e}4}\right)\)

\(−\left(\frac{3+{\log }_{e}16}{4+{\log }_{e}8}\right)\)

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