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

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

A

` (x^((1)/(x)) )/(x^(2))(1+log x ) `

B

` (x^((1)/(x)) )/(x^(2))(1-log x ) `

C

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

D

` (x^((1)/(x)) )/(x)(1-log x ) `

Text Solution

Verified by Experts

The correct Answer is:
B
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