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

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

A

`y/x((Inx^(logx-1))+2ln(ln(logx))`

B

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

C

`y/(xInx)[(Inx)^2+2ln(logx)]`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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