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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

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

C

`sqrt((x)/(y))`

D

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

Text Solution

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The correct Answer is:
B
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