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If xsqrt(1+y)+ysqrt(1+x)=0 for -1ltx,ylt...

If `xsqrt(1+y)+ysqrt(1+x)=0` for `-1ltx,ylt1` then prove that `(dy)/(dx)=(-1)/((x+1)^(2))`

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The correct Answer is:
`(-1)/((1+x)^(2))`
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