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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+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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