Unit 3: Sections 4.4-4.8
Skill Set

Section 4.4: Concavity and Curve Sketching

Problems Assigned: 1, 7, 9, 11, 15, 21, 24, 27, 29, 31, 37, 41, 47, 51, 55, 63, 69, 75

Assessment Item	Online	Textbook
Identify inflection points, local extrema and intervals of concave up and concave down given a graph.	1, 7
Use the steps of the graphing procedure on p. 264 to graph an equation including coordinates of local extrema and inflection points.	9, 11, 15, 21, 24, 29, 35, 37	27, 31, 41
Given the first derivative of a continuous function, use the steps on p. 264 to sketch the general shape of the function.	47, 51, 55
Given the graphs or conditions of the first and second derivative, sketch a graph of the function.		63, 69
Given the first derivative of a function, find any local extrema or inflection points and where they occur.		75

JIT 14.1 (Revisited)/Section 4.5: Applied Optimization

Problems Assigned: JIT 14.1: 2, 3, 4, 6, 7, 8, 11
UC 4.5: 1, 4, 5, 7, 9, 11, 13, 20a, 24, 27, 31, 32, 33, 44

Assessment Item	Online	Textbook
Solve algebraic word problems.		JIT14.1: 2, 3, 4, 6, 7, 8, 11
Solve applied optimization problems. (Model a situation with an equation, find the appropriate absolute extreme providing work necessary to support the result, and interpret in the context of the problem.)	1, 5, 7, 9, 11, 13, 27, 31, 33	4, 20a, 24, 32, 44

Section 4.6: Indeterminate Forms and L'Hôpital's Rule

Problems Assigned: 5, 9, 11, 13, 19, 21, 25, 27, 29, 33, 35, 37, 41, 45, 47, 53, 59, 61

Assessment Item	Online	Textbook
Use L'Hôpital's Rule to find a limit.	5, 9, 13, 19, 29, 33, 35, 45, 47, 53	11, 21, 25, 27, 37, 41
Recognize when L'Hôpital's Rule is ineffective. Use other methods to find such a limit.		59
Explain why a given limit solution is correct or incorrect.		61

Section 4.8: Antiderivatives

Problems Assigned: 1, 5, 9, 11, 13, 17, 19, 21, 23, 25, 31, 35, 43, 49, 53, 55, 59, 65, 69, 71, 75, 77, 79, 85, 89, 93, 97, 103, 107, 111, 117, 119

Assessment Item	Online	Textbook
Find an antiderivative of a function.	1, 11, 13, 17, 19, 23	5, 9, 21
Find the most general antiderivative or indefinite integral of a function.	25, 31, 35, 43, 49, 53, 55, 65, 69	59
Verify an indefinite integral formula by differentiation.		71, 75, 77, 79
Explain why a given indefinite integral solution is correct or incorrect.		85
Solve an initial value problem.	89, 93, 103, 107	97, 111, 119
Find the displacement of a body moving on a coordinate line given an initial position and a time interval.	117