e^x+e^y=e^xe^y, dy/dx=-e^(y-x)?

[xeonph]

how to get this answer please dy/dx=-e^(y-x) from e^x+e^y=e^xe^y ? please include the solution and the simplification process, tnx

 

[stapel]

how to get this answer please dy/dx=-e^(y-x) from e^x+e^y=e^xe^y ? please include the solution and the simplification process, tnx

While there are sites that provide hand-in solutions to homework, this isn't one of those. Sorry. :shock:

What did you get when you differentiated implicitly with respect to x? Please reply showing all of your steps. Thank you!