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Consider the function on the interval (0, 2π). f(x) = x/2 + cos⁡(x) (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (0, π6) (π6, 5π6) (5π6, 2π) none of these Decreasing: (0, π6) (π6, 5π6) (5π6, 2π) none of these (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) = (c) Use a graphing utility to confirm your results.

Consider the function on the interval (0, 2π). f(x) = x/2 + cos⁡(x) (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (0, π6) (π6, 5π6) (5π6, 2π) none of these Decreasing: (0, π6) (π6, 5π6) (5π6, 2π) none of these (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) = (c) Use a graphing utility to confirm your results.

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Consider the function on the interval ( 0 , 2 π ) .
f ( x ) = x 2 + cos ⁡ ( x )
(a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: ( 0 , π 6 ) ( π 6 , 5 π 6 ) ( 5 π 6 , 2 π ) none of these
Decreasing: ( 0 , π 6 ) ( π 6 , 5 π 6 ) ( 5 π 6 , 2 π ) none of these (b) Apply the First Derivative Test to identify the relative extrema. relative maximum ( x , y ) = relative minimum ( x , y ) = (c) Use a graphing utility to confirm your results.

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