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(1+(1)/(x))/(1-(1)/(x))...

`(1+(1)/(x))/(1-(1)/(x))`

लिखित उत्तर

Verified by Experts

माना `y=(1+(1)/(x))/(1-(1)/(x))=(x+1)/(x-1)`
`rArr (dy)/(dx)=(d)/(dx)((x+1)/(x-1))`
`=((x-1)(d)/(dx)(x+1)-(x+1)(d)/(dx)(x-1))/((x-1)^2)`
`=((x-1).1-(x+1).1)/(x-1)^2=-(2)/(x-1)^2`
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