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If sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(d...

If `sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1.)`

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Given,`sqrt(y+x)+sqrt(y-x)=c`
On differentiating w.r.t x, we get
=`1/(2sqrt(y+x)) ​​(1+dy/dx​)+1/(2sqrt(y−x)) ​​(dy/dx​−1)=0`
`dy/dy​[1/sqrt(y+x) ​​+1/sqrt(y−x)​]=1/sqrt(y−x) ...
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