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

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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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