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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`

Text Solution

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The correct Answer is:
B
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