(1 point) 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)= (4x+4sin(x)), OSxSZJI What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: Test Fails v ? 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 to the left of the critical point, f is Decreasing v and f' is Negative v . (Include all points where f' has this sign in the interval.) On the interval to the right of the critical pointI f is Decreasing v and f' is Negative v . (Include all points where f' has this sign in the interval.) On the interval (043i) to the left of the inflection point f is Concave Up v . (Include only points where f has this concavity in the interval.) On the interval | to the right of the inflection point f is Concave Down v . (Include only points where f has this concavity in the interval.)