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The derivative of x^ (log (log x)) w.r.t...

The derivative of `x^ (log (log x))` w.r.t x is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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