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If x^y=e^(x-y); then (dy)/(dx) is...

If `x^y=e^(x-y);` then `(dy)/(dx)` is

A

`(log x)/(log (x-y))`

B

`(e^(x))/(x^(x-y))`

C

`(log x)/((1 + log x)^(2))`

D

`(1)/(y) - (1)/(x-y)`

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