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) = -(5x + 5 sin(x)), 0≤x≤2m What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: Test Fails What does the Second Derivative Test tell about the second critical point: Only one critical point on interval ✓ What are the inflection Point(s) = 0 On the interval to the left of the critical point, f is Decreasing and f' is Negative (Include all points where f' has this sign in the interval.) On the interval to the right of the critical point, f is Decreasing and f' is Negative (include all points where f' has this sign in the interval.) On the interval to the left of the inflection point f is Concave Up (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 (Include only points where f has this concavity in the interval.)

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) = -(5x + 5 sin(x)), 0≤x≤2m What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: Test Fails What does the Second Derivative Test tell about the second critical point: Only one critical point on interval ✓ What are the inflection Point(s) = 0 On the interval to the left of the critical point, f is Decreasing and f' is Negative (Include all points where f' has this sign in the interval.) On the interval to the right of the critical point, f is Decreasing and f' is Negative (include all points where f' has this sign in the interval.) On the interval to the left of the inflection point f is Concave Up (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 (Include only points where f has this concavity in the interval.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

See similar textbooks