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If e^(2x) +e^(2y) =e^(2( x+y)),then (dy...

If ` e^(2x) +e^(2y) =e^(2( x+y)),then (dy)/(dx)=`

A

` e^(2(x+y) )((1-e^(2y))/( 1-e^(2x)))`

B

` -e^(2(x+y) )((1-e^(2y))/( 1-e^(2x)))`

C

` e^(2(x-y) )((1-e^(2y))/( 1-e^(2x)))`

D

` -e^(2(x-y) )((1-e^(2y))/( 1-e^(2x)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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