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If 2x y + 3y x = 20, then dx dy at (2, 2) is equal to-

1. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + − 4 log 3 8 log 2 e e
2. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + − 8 log 4 16 log 3 e e
3. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + − 4 log 2 8 log 3 e e
4. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + − 8 log 2 4 log 3 e e

Correct answer: ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + − 4 log 3 8 log 2 e e

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