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xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx)=...

`xsqrt(1+y)+ysqrt(1+x)=0`, then `(dy)/(dx)=`

A

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

B

`(xy)/(1-y)`

C

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

D

`-(xy)/((1+x)^(2))`

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