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If y=log(2) (log2 x), then (dy)/(dx)=...

If `y=log_(2) (log_2 x)`, then `(dy)/(dx)=`

A

`(log_e 2)/(x log_e x)`

B

`(1)/(log_e (2x)^2)`

C

`(1)/((xlog_e x)log_e 2)`

D

`(1)/(x(log_2 x)^2)` .

Text Solution

Verified by Experts

The correct Answer is:
C
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