Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$

question 15

Multiple Choice

Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ using implicit differentiation. $x e ^ { y } - y e ^ { x } = 12$

• A) \(\frac { y e ^ { x } - e ^ { y } } { x e ^ { y } - e ^ { x } }\)
• B) \(\frac { y - 1 } { x - 1 }\)
• C) \(\frac { y e ^ { y } + e ^ { x } } { x e ^ { y } - e ^ { x } }\)
• D) \(\frac { x e ^ { y } + e ^ { y } } { y e ^ { y } + e ^ { x } }\)
• E) \(\frac { x e ^ { y } - e ^ { x } } { y e ^ { x } - e ^ { y } }\)

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