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

Text Solution

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The correct Answer is:
A
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