MathematicsMedium175×since 2002Q2736For the function f(x)=sinx+3x−2π(x2+x), where x∈[0,π2],f(x)=\sin x+3 x-\frac{2}{\pi}\left(x^2+x\right), \text { where } x \in\left[0, \frac{\pi}{2}\right],f(x)=sinx+3x−π2(x2+x), where x∈[0,2π], consider the following two statements : (I) fff is increasing in (0,π2)\left(0, \frac{\pi}{2}\right)(0,2π). (II) f′f^{\prime}f′ is decreasing in (0,π2)\left(0, \frac{\pi}{2}\right)(0,2π). Between the above two statements,Aonly (I) is true.Bboth (I) and (II) are true.Conly (II) is true.Dneither (I) nor (II) is true.Check answerSkip