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

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

A

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

B

` y(log (1+(1)/(x) )+(x)/(1+x)) `

C

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

D

` y(log (1+(1)/(x) )+(x)/(1+x)) `

Text Solution

Verified by Experts

The correct Answer is:
C
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