If y=(1+1/x)^x,then(dy)/(dx)=...

If `y=(1+1/x)^x,then(dy)/(dx)=`

A

`(1+1/x)^x [ log(1+1/x) - 1/(1+x)]`

B

`(1+1/x)^x [ log(1+1/x)]`

C

`(x+1/x)^x [ log(x-1) -x/(x+1)]`

D

`(1+1/x)^x [ log (1+1/x) +1/(1+x)]`

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The correct Answer is:

A

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