Consider the function on the interval (0, 2Ï€).
f(x) = sin(x) cos(x) + 2
(a) Find the open interval(s) on which the function isincreasing or decreasing. (Enter your answers using intervalnotation.)
| increasing    | ( )   |
| decreasing    | ( )  |
(b) Apply the First Derivative Test to identify all relativeextrema.
| relative maxima    | (x, y) = |   | (smaller x-value) |
| (x, y) = | ( ) Â Â | (larger x-value) |
| relative minima | (x, y) = | Â Â | (smaller x-value) |
| (x, y) = | ​   | (larger x-value) |
