For the function\( f(x)=\sin x+3 x-\frac{2}{\pi}\left(x^2+x\right)\), where \(x \in\left[0, \fra....

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For the function\( f(x)=\sin x+3 x-\frac{2}{\pi}\left(x^2+x\right)\), where \(x \in\left[0, \frac{\pi}{2}\right]\), consider the following two statements :(I) \(f\) is increasing in \(\left(0, \frac{\pi}{2}\right)\).(II) \(f^{\prime}\) is decreasing in \(\left(0, \frac{\pi}{2}\right)\).
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