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Application of Derivatives question

2021 · 16 Mar · Shift 2 · Q25

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JEE Main
Mathematics
Application of Derivatives
2021 · 16 Mar · Shift 2 · Q25

Application of Derivatives question

2021 · 16 Mar · Shift 2 · Q25

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let f be a real valued function, defined on R

-

{

-

1, 1} and given by f(x) = 3 loge

\left| {{{x - 1} \over {x + 1}}} \right| - {2 \over {x - 1}}

. Then in which of the following intervals, function f(x) is increasing?

A
( $-\infty$ , $-$ 1) $\cup$ $\left( {[{1 \over 2},\infty ) - \{ 1\} } \right)$
B
( $-\infty$ , $\infty$ ) $-$ { $-$ 1, 1)
C
( $-\infty$ , ${{1 \over 2}}$ ] $-$ { $-$ 1}
D
( $-$ 1, ${{1 \over 2}}$ ]

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