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The function \(f(x)=\frac{4 x^3-3 x^2}{6}-2 \sin x+(2 x-1) \cos x\) : [JEE Main 2021, 24 Feb (Shift 1)]

The function \(f(x)=\frac{4 x^3-3 x^2}{6}-2 \sin x+(2 x-1) \cos x\) :

[JEE Main 2021, 24 Feb (Shift 1)]

Decreases in \(\left(-\infty, \frac{1}{2}\right]\)

Increases in \(\left[\frac{1}{2}, \infty\right)\)

Increases in \(\left(-\infty, \frac{1}{2}\right]\)

Decreases in \(\left[\frac{1}{2}, \infty\right)\)

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