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Calculate dy/dx if Ln (x + y) = e^x/y
Pic included

Calculate dy/dx if Ln (x + y) = e^x/y Pic included-example-1

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The first thing you should do when dealing with implicit derivatives is to respect the rules of derivation of both the logarithm and the exponential
Then, you must regroup the terms correctly until you get dy / dx
The answer for this case is D
I attach the solution
Calculate dy/dx if Ln (x + y) = e^x/y Pic included-example-1
Calculate dy/dx if Ln (x + y) = e^x/y Pic included-example-2
Calculate dy/dx if Ln (x + y) = e^x/y Pic included-example-3
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