JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

f\left( x \right) = \left| {{{\log }_e}\left| x \right|} \right|

, then

f'\left( x \right)

equals

View answer and explanation

Correct option: B

\frac{1}{x}

for

\left| x \right| > 1

and

\frac{{ - 1}}{x}

for

\left| x \right| < 1

Option B (

\frac{1}{x}

for

\left| x \right| > 1

and

\frac{{ - 1}}{x}

for

\left| x \right| < 1

) is correct because it correctly describes the derivative of the given function for different ranges of x.

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