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If f(x)=|loge(x||, then f'(x)equals....

If `f(x)=|log_e(x||,` then `f'(x)`equals.

A

`1/(|x|)`, where `x != 0`

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"|x|gt0and-1/x"for"|x|lt1`

Text Solution

Verified by Experts

The correct Answer is:
B
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