y=x/(1+x/(2+x/(1+x/2+...))) then prove t...

`y=x/(1+x/(2+x/(1+x/2+...)))` then prove that `y'=1/(1+y)`

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If y=x+(1)/(x+(1)/(x+(1)/(x+...oo)))," prove that "(dy)/(dx)=(y)/((2y-x)).

If y=x+1/(x+1/(x+1/(x+\ dot))) , prove that (dy)/(dx)=y/(2y-x) .

If y=x+1/(x+1/(x+1/(x+\ dot))) , prove that (dy)/(dx)=y/(2y-x) .

If y=x+1/(x+1/(x+1/(x+\ dot))) , prove that (dy)/(dx)=y/(2y-x) .

If y=x+1/(x+1/(x+1/(x+\ dot))) , prove that (dy)/(dx)=y/(2y-x) .

If y=x+1/(x+1/(x+1/(x+\ dot))) , prove that (dy)/(dx)=y/(2y-x) .

If y=x+(1)/(x+(1)/((1)/(x+...))), prove that(dy)/(dx)=(y)/(2y-x)

If y=x+(1)/(x+(1)/(x+(1)/(x+1))), prove that (dy)/(dx)=(y)/(2y-x)

If y=x+(1)/(x+(1)/(x+(1)/(x+))), prove that (dy)/(dx)=(y)/(2y-x)

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