If , then…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If

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

, then

f'(x)

equals (1)

\frac{1}{|x|}

,

x \neq 0

(2)

\frac{1}{x}

for

|x| > 1

and

-\frac{1}{x}

for

|x| < 1

(3)

-\frac{1}{x}

for

|x| > 1

and

\frac{1}{x}

for

|x| < 1

(4)

\frac{1}{x}

for

x > 0

and

-\frac{1}{x}

for

x < 0

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