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"If "xsqrt(1+y)+ysqrt(1+x)=0," prove tha...

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

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To solve the problem, we start with the equation given: \[ x \sqrt{1+y} + y \sqrt{1+x} = 0 \] ### Step 1: Rearranging the Equation We can rearrange the equation to isolate one of the terms: ...
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xsqrt(1+y)+ysqrt(1+x)=0 , then (dy)/(dx)=