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

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

A

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

B

`(x logx)^(x logx)log(logx)[2/(logx)+1/x]`

C

`(x logx)^(x logx)(log(logx))/2[1/(logx)+1]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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