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

Question

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

increases in $\left( { - \infty ,{1 \over 2}} \right]$

decreases in $\left( { - \infty ,{1 \over 2}} \right]$

increases in $\left[ {{1 \over 2},\infty } \right)$

decreases in $\left[ {{1 \over 2},\infty } \right)$

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