JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Hard

1 of 1

Understanding +4 | -1

Let

f\left( x \right) = {\cot ^{ - 1}}\left\{ {g\left( x \right)} \right\},

where

g\left( x \right)

is an increasing function on the interval

\left( {0,\pi } \right).

Then,

f\left( x \right)

View answer and explanation

Correct option: B

Decreasing on

\left( {0,\pi } \right)

Option B (Decreasing on (0,

\pi

)) is correct because the derivative of f(x) is negative on the interval (0,

\pi

), indicating that the function is decreasing.

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