\(\rm f(x)=\sin x+\frac{1}{2} \cos 2 x\) in \( \left[0, \frac{\pi}{2}\right]\)
(A) f'(x) = cos x – sin 2x
(B) The critical points of the function are \(x=\frac{\pi}{6}\) and \(x=\frac{\pi}{2}\)
(C) The minimum value of the function is 2
(D) The maximum value of the function is \(\frac{3}{4}\)
Choose the correct answer from the options given below :
1
(A), (B) and (D) only
2
(A), (B) and (C) only
3
(A), (B), (C) and (D)
4
(B), (C) and (D) only