(a) Graph the function f(x) = x – 2 sin x in the viewing rectangle [0, 8] by [– 2, 8].
(b) On which interval is the average rate of change larger: [1, 2] or [2, 3]?
(c) At which value of is the instantaneous rate of change larger: x = 2 or x = 5?
(d) Check your visual estimates in part (c) by computing f’(x) and comparing the numerical values of f’ (2) and f’ (5)