Mathematics

Mathematics

Problem

If

f(x) = |\log_e |x||

, then

f'(x)

equals a.

\frac{1}{|x|}

,

x \neq 0

b.

\frac{1}{x}

for

|x| > 1

and

-\frac{1}{x}

for

|x| < 1

c.

-\frac{1}{x}

for

|x| > 1

and

\frac{1}{x}

for

|x| < 1

d.

\frac{1}{x}

for

x > 0

and

-\frac{1}{x}

for

x < 0

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