Consider the following. (If an answer does not exist, enter DNE.) S(x) = x − cos(x), 0 ≤ x ≤ 4π
(a)Find the interval(s) of increase. Find the interval(s) of decrease.
(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.
Find the local maximum value(s). (Enter your answers as a comma-separated list.)
(c) find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (4 answers)
smallest x-value =
largest x-value =
(d) Find the interval(s) where the function is concave up. (Enter your answer using interval notation.)
(e) Find the interval(s) where the function is concave down.