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If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != ...

If `xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y` prove that `(dy)/(dx) = (-1)/((1 + x)^(2))`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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