Example

Section	You should be able to...	Examples	Review Exercises
4.1	1 Solve related rate problems (p. 255)	1–5	1–3
4.2	1 Identify absolute maximum and minimum values and local extreme values of a function (p. 263)	1	4, 5
	2 Find critical numbers (p. 267)	2	6(a), 7
	3 Find absolute maximum and absolute minimum values (p. 268)	3–6	8, 9
4.3	1 Use Rolle’s Theorem (p. 275)	1	10
	2 Work with the Mean Value Theorem (p. 275)	2, 3	11, 12, 28
	3 Identify where a function is increasing and decreasing (p. 279)	4–6	23(a), 24(a)
4.4	1 Use the First Derivative Test to find local extrema (p. 284)	1, 2	6(b), 13(a)–15(a)
	2 Use the First Derivative Test with rectilinear motion (p. 286)	3	16
	3 Determine the concavity of a function (p. 287)	4, 5	23(b), 24(b)
	4 Find inflection points (p. 290)	6	23(c), 24(c)
	5 Use the Second Derivative Test to find local extrema (p. 291)	7–8	13(b)–15(b)
4.5	1 Identify indeterminate forms of the type \(\dfrac{0}{0}\) and \(\dfrac{\infty }{\infty }\) (p. 298)	1	41–44
	2 Use L'Hôpital's Rule to find a limit (p. 299)	2–6	45, 47, 49–52, 55
	3 Find the limit of an indeterminate form of the type \(0\cdot \infty,\) & \(\infty -\infty\), \(0^{0}\), \(1^{\infty }\), or \(\infty ^{0}\) (p. 303)	7–10	46, 48, 53, 54, 56
4.6	1 Graph a function using calculus (p. 308)	1–7	17–22, 25, 26, 27
4.7	1 Solve optimization problems (p. 318)	1–6	29, 30, 61–63
4.8	1 Find antiderivatives (p. 329)	1, 2	31–38
	2 Solve a differential equation (p. 331)	3, 4	57–60
	3 Solve applied problems modeled by differential equations (p. 333)	5–7	39, 40, 64