Mathematics Differential Calculus Differentiation of Implicit Functions

If xe = e\((\rm {x^2+y^2})\), then find \(\rm dy\over dx\)

1
\(\rm -{x\over y}\)
2
\(\rm e- 2x^2\over2xy\)
3
\(\rm e- x^2\over x\)
4
\(\rm e + 2x\over xy\)

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