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If e^(x-y) =log ((x)/(y)),then (dy)/(dx)...

If `e^(x-y) =log ((x)/(y)),then (dy)/(dx) =`

A

` (y)/(x) ((1-xe^(x-y))/(1-ye^(x-y))) `

B

` (-y)/( x) ((1-xe^(x-y))/( 1-ye^(x-y)))`

C

` (x)/( y) (( 1-ye^(x-y))/( 1-xe^(x-y)))`

D

` (-x)/( y) ((1-ye^(x-y))/( 1-xe^(x-y)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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