If 2 x y + 3 y x = 20 , then d y d x at ( 2 , 2 ) is equal to [2023]

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Solution

Q.
$If 2 x^{y} + 3 y^{x} = 20, then \frac{d y}{d x} at (2, 2) is equal to$ [2023]

1 $- (\frac{3 + \log_{e} 8}{2 + \log_{e} 4})$

2 $- (\frac{3 + \log_{e} 16}{4 + \log_{e} 8})$

3 $- (\frac{3 + \log_{e} 4}{2 + \log_{e} 8})$

4 $- (\frac{2 + \log_{e} 8}{3 + \log_{e} 4})$

Ans.
(4)

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