## Derivatives, Properties, and Formulas

Read this section to understand the properties of derivatives. Work through practice problems 1-11.

**Practice 1:** is continuous at , and is differentiable at , and

**Practice 4:**

x |
f(x) |
f '(x) |
g(x) |
g '(x) |
D( 3f(x) ) |
D( 2f(x) + g(x) ) |
D( 3g(x) – f(x) ) |
---|---|---|---|---|---|---|---|

0 |
3 |
–2 |
–4 |
3 |
–6 |
–1 |
11 |

1 |
2 |
–1 |
1 |
0 |
–3 |
–2 |
1 |

2 |
4 |
2 |
3 |
1 |
6 |
5 |
1 |

**Practice 5: **

**Practice 6:**

**Practice 7:**

**Practice 8:** (a) difference rule (b) product rule (c) difference rule (d) quotient rule

**Practice 9:**

**Practice 10:**

**Practice 11:**