Consider the function on the interval (0, 2π).
f(x) = sin(x) cos(x) + 2
(a) Find the open interval(s) on which the function is
increasing or decreasing. (Enter your answers using interval
notation.)
increasing    
( )
  
decreasing    
( )  
(b) Apply the First Derivative Test to identify all relative
extrema.
relative maxima    
(x, y) =
  
(smaller x-value)
(x, y) =
( )
  
(larger x-value)
relative minima
(x, y) =
  
(smaller x-value)
(x, y) =
  ...