If f(x)=|log(e)|x||," then "f'(x) equals...

If `f(x)=|log_(e)|x||," then "f'(x)` equals

A

`(1)/(|x|),xne0`

B

`(1)/(x)` for `|x|gt1and-(1)/(x)` for `|x|lt1`

C

`-(1)/(x)` for `|x|gt1and-(1)/(x)` for `|x|lt1`

D

`(1)/(x)` for `xgt0and-(1)/(x)` for `xlt0`

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The correct Answer is:

B

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