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If x ^(2) + y ^(2) = sin ( x + y), the...

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

A

`( cos (x + y ) - 2 x )/( 2y - cos ( x + y))`

B

`(x - cos (x + y))/( y - cos (x + y))`

C

`(2x + cos (x + y))/( 2 y - cos (x + y))`

D

`(c + cos (x + y))/( 2y + cos (x + y))`

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