HINTS FOR HOMEWORK PROBLEMS FROM CHAPTER 2

Section 2.2

• (1a), (2a), (3a), (4a) See Example 2.2.3.
• (5a) See Examples 2.2.7.
• (6a) See Examples 2.2.10.
• (8b), (8d) See Examples 2.2.12 (1), (2), (3).
• (9b), (9e) See Examples 2.2.12 (4), (5).
• (10b), (10d) See Examples 2.2.12 (6), (7).
• (12) Read Proposition 2.2.13 carefully.
  To justify an answer of "true" you must provide a proof while to justify an answer of "false" you must provide an example of failure.
• (13a) See Example 2.2.16 (1).
• (13c) See Example 2.2.29 (6).
• (13f) See Example 2.2.29 (4).
• (16a) See Examples 2.2.23 (1).
• (16c) See Example 2.2.29 (2).
• (16g) See Example 2.2.29 (6).
• (19a), (19c), (19e), (19f), (19h), (19i) See Examples 2.2.29.
• (20) Use Definition 2.2.27 and the notes at the top of page 154.
• (21) Check endpoints, cusps and points of discontinuity.

Section 2.3

• (1e) See Examples 2.3.2.
• (2d) See Examples 2.3.5.
• (3f), (4d) See Examples 2.3.8.
• (5f) Use the quotient and product rules.
• (10b) Use Corollary 2.3.7 and see Examples 2.2.7.
• (10e) Use the quotient rule and see Examples 2.2.7.
• (13a), (13e), (14b), (14d), (14e) See Examples 2.3.9.

Section 2.4

• (3a) See Example 2.4.5 (1).
• (3d), (3h) See Examples 2.4.5.
• (3o) See Examples 2.4.6.
• (4b), (5a) See Example 2.4.5 (3).
• (6a), (6b), (6e) See Examples 2.2.29 and 2.4.11 (1), (2).
• (7a), (7b) Use the chain rule, formula (2.4.6).
• (9a), (9b) Use (2.4.1).
• (10a), (10b) Use the chain rule, formula (2.4.9).
• (11a), (11d), (11f) See Example 2.4.9 (1)-(3).
• (12b) See Examples 2.2.7 and 2.4.9 (1)-(3).
• (14a), (14d) See Examples 2.4.3 (4), (5).

Section 2.5

• (1a), (1c), (1e), (1j) See Examples 2.5.2.
• (2a), (2b) See Examples 2.4.9 and 2.5.2.
• (3a), (3c) See Examples 2.2.7 and 2.5.2.
• (6a) See Example 2.5.6 (1).
• (7a) See Example 2.5.6 (2).
• (8a) Find f '(1) and use formula (2.5.1)
• (10a), (10b), (10c) See Examples 2.5.11.
• (11d), (11e) See Examples 2.4.9 and 2.5.11.

Section 2.6

• (4a), (4c), (5a), (5c), (6c), (6d) See Examples 2.6.3 and 2.6.9.
• (7a), (7b) See Examples 2.6.15.
• (9a), (9c) See Examples 2.6.22.
• (10), (11a), (11e) See Examples 2.6.25.
• (15a), (15c), (15f), (15j) See Examples 2.6.30.
• (16a), (16d), (16e) See Eamples 2.6.36.
• (17a), (17b), (17e), (17h), (17i), (17k) See Examples 2.6.45.

Section 2.7

• (1a), (1d) See Examples 2.7.3.
• (2) Recall the definition of a function.
• (4) See Examples 2.7.8.
• (6a), (6d) See Examples 2.7.16.
• (7a), (7c) See Examples 2.7.20.
• (8b), (8g), (8h) See Examples 2.7.8, 2.7.16 and 2.7.20.
• (9) See the discussion at the top of page 207 on Figure 2.7.21.
• (11a), (11f), (11h), (11i) See Examples 2.7.27.
• (16), (22), (23), (26), (37), (40), (42), (45) See Examples 2.7.33.

Section 2.8

• (1), (5), (6), (11), (12), (17), (18) See Examples 2.8.3.
• (8), (9), (10) See Examples 2.8.6.
• (21), (22), (29) See Examples 2.8.8.

Section 2.9

• (1) See Examples 2.9.3.
• (10) See Examples 2.9.5.
• (14), (15), (17), (21) See Examples 2.9.6.
• (24a), (24d), (25), (28), (30) See Examples 2.9.12.

Section 2.10

• (1a), (4), (12), (15), (16), (17), (20) Reread the general procedure for solving these problems on page 242.
  Then see Examples 2.10.3.

Section 2.12

• (1), (6) (7c), (7d) See Examples 2.12.4.
• (8)-(19) See Examples 2.12.11.
• (20), (24), (27) See Examples 2.12.18 (1) - (3).
• (31a), (33), (38), (39) See Examples 2.12.18 (4) - (6).