\(f'\left(x\right)=2x^2-x\)
\(f'\left(x\right)\ge0\Leftrightarrow2x^2-x\ge0\)
\(\Leftrightarrow x\left(2x-1\right)\ge0\Rightarrow\left[{}\begin{matrix}x\ge\dfrac{1}{2}\\x\le0\end{matrix}\right.\)
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