The graph of $f(x) = 3 \sin x$ is shown below. Find $f'(x)$ and evaluate this function at the points indicated in the graph. Identify the points as being an absolute maximum or minimum, a relative maximum or minimum, or none of the above.
(Select all that apply.)

1. $f'(x) =$
2. $f'(\pi/2) =$
3. At point $A = (\pi/2, 3)$, there is a/an
   Absolute minimum
   Absolute maximum
   Relative minimum
   Relative maximum
   None of the above
4. $f'(3\pi/2) =$
5. At point $B = (3\pi/2, -3)$, there is a/an
   Absolute minimum
   Absolute maximum
   Relative minimum
   Relative maximum
   None of the above