| Differential Calculus (PDF*790kb) |
|
|
|
|
| |
Introduction |
p. 105 |
| 6.1 |
Rate of change – the problem of the curve |
p. 106 |
| 6.2 |
Instantaneous rate of change and the derivative function |
p. 119 |
| 6.3 |
Shortcuts for differentiation
6.3.1 Polynomial and other power functions
6.3.2 Exponential functions
6.3.3 Logarithmic functions
6.3.4 Trigonometric functions
6.3.5 Where can’t you find a derivative of a function? |
p. 123
p. 123
p. 132
p. 134
p. 138
p. 141 |
| 6.4 |
Some applications of differential calculus
6.4.1 Displacement-velocity-acceleration: when
derivatives are meaningful in their own right
6.4.2 Twists and turns
6.4.3 Optimization |
p. 144
p. 145
p. 149
p. 159 |
| 6.5 |
A taste of things to come |
p. 167 |
| 6.6 |
Post-test |
p. 169 |
| 6.7 |
Solutions |
p. 170 |