The function f x = 4 x 3 - 3 x 2 6 - 2 sin x + 2 x - 1 cos x :

1. increases in $\left[\frac{1}{2},\infty \right)$
2. decreases in $\left(-\infty ,\frac{1}{2}\right]$
3. decreases in $\left[\frac{1}{2},\infty \right)$
4. increases in $\left(-\infty ,\frac{1}{2}\right]$

Solution

Asked in: JEE Main 2021 (24 Feb Shift 1)

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