If 2x^y + 3y^x = 20, then dy/dx at (2,2) is equal to: | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 6 April, Shift 1Derivatives of Functions

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

A
$-\left(\frac{3+\log_e 8}{2+\log_e 4}\right)$
B
$-\left(\frac{2+\log_e 8}{3+\log_e 4}\right)$
C
$-\left(\frac{3+\log_e 4}{2+\log_e 8}\right)$
D
$-\left(\frac{3+\log_e 16}{4+\log_e 8}\right)$

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