Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) : i (:1: + sin(:1:)), 0 S a: S 27r What are the critical point(s) :- What does the Second Derivative Test tell about the first critical point: Local Max V 7 What does the Second Derivative Test tell about the second critical point: Only one critical point on interval v ? What are the inflection Point(s) :- On the interval (0,1!) to the left of the critical point, f is and f' is -. (Include all points where f' has this sign in the interval) On the interval (75:21:) to the right of the critical point, f i- and f' is -. (Include all points where f' has this sign in the interval) On the interval (0,1!) to the left of the inflection point f is _. (Include only points where f has this concavity in the interval.) On the interval ( 4271:) to the right of the inflection point f is - (Include only points where f has this concavity in the interval)