Section | You should be able to | Example | Review Exercises |
2.1 | 1 Find instantaneous velocity (p. 145) | 1, 2 | 71(a), 72(a) |
| 2 Find an equation of the tangent line to the graph of a function (p. 147) | 3 | 67-70 |
| 3 Find the rate of change of a function (p. 149) | 4, 5 | 1, 2, 73(a) |
| 4 Find the derivative of a function at a number (p. 150) | 6, 7 | 3-8, 75 |
2.2 | 1 Define the derivative function (p. 154) | 1-3 | 9-12, 77 |
| 2 Graph the derivative function (p. 155) | 4, 5 | 9-12, 15-18 |
| 3 Identify where a function has no derivative (p. 157) | 6-8 | 13, 14, 75 |
2.3 | 1 Differentiate a constant function (p. 163) | 1 | |
| 2 Differentiate a power function (p. 164) | 2-3 | 19-22 |
| 3 Differentiate the sum and the difference of two functions (p. 166) | 4-6 | 23-26, 33, 34, 40, 51, 52, 67 |
| 4 Differentiate the exponential function \(y=e^x\) (p. 168) | 7 | 44, 45, 53, 54, 56, 59, 69 |
2.4 | 1 Differentiate the product of two functions (p. 173) | 1, 2 | 27, 28, 36, 46, 48-50, 53-56, 60 |
| 2 Differentiate the quotient of two functions (p. 175) | 3-6 | 29-35, 37-43, 47, 57-59, 68, 73, 74 |
| 3 Find higher-order derivatives (p. 177) | 7, 8 | 61-66, 71, 72, 76 |
| 4 Work with acceleration (p. 179) | 9 | 71, 72, 76 |
2.5 | 1 Differentiate trigonometric functions (p. 185) | 1-6 | 49-60, 70 |