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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+x

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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