For the function \(\rm f(x)=\sin x+3x-\frac{2}{\pi}(x^2+x)\) where x ∈ \(\rm \left[0, \frac{\pi}{2}\right]\) consider the following two statements :
(I) f is increasing in \(\rm \left(0,\frac{\pi}{2}\right)\)
(II) f' is decreasing in \(\rm \left(0,\frac{\pi}{2}\right)\)
Between the above two statements,
1
only (I) is true.
2
only (II) is true.
3
neither (I) nor (II) is true.
4
both (I) and (II) are true.