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

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

A

` x^(e^(x))e^(x)((1)/(x) +xlog x ) `

B

` x^(e^(x))e^(x)((1)/(x) -xlog x ) `

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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