Question

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))2 (a) Find...

Consider the function on the interval (0, 2π).

f(x) =

sin(x)/
2 + (cos(x))2

(a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)

increasing    
decreasing    



(b) Apply the First Derivative Test to identify the relative extrema.

relative maximum     (x, y) =
  
relative minimum (x, y) =

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