## Mathematics 101## Calculus I |

*Chapter 3: SHORT-CUTS TO DIFFERENTIATION*

- 3.1 Powers and Polynomials
- 3.2 The Exponential Function
- 3.3 The Product and Quotient Rules
- 3.4 The Chain Rule
- 3.5 The Trigonometric Functions
- 3.6 The Chain Rule and Inverse Functions
- 3.7 Implicit Functions
- 3.8 Hyperbolic Functions
- 3.9 Linear Approximation and the Derivative
- 3.10 Theorems about Differentiable Functions

- 3.1 -- 10, 13, 14, 21, 26, 33, 40, 43, 46, 55, 56, 64, 67.
- 3.2 -- 4, 5, 13, 19, 23, 26, 28, 35, 40, 43, 45, 46.
- 3.3 -- 2, 4, 12, 22, 30, 34, 35, 44, 48, 49, 54.
- 3.4 -- 4, 15, 20, 24, 27, 28, 46, 51, 67, 70, 73, 79.
- 3.5 -- 4, 5, 11, 18, 20, 25, 27, 37, 44, 45, 46.
- 3.6 -- 3, 4, 6, 16, 18, 20, 23, 30, 44, 53, 57, 60.
- 3.7 -- 2, 11, 15, 16, 24, 31.
- 3.8 -- 2, 14, 18, 29.
- 3.9 -- 4, 5, 12, 16, 24.
- 3.10 -- 5, 6, 7, 14, 15, 18, 25.

- Section 3.1 -- 35, 37, 39, 41, 43, 47, 54, 58, 63, 65
- Section 3.2 -- 9, 15, 17, 21, 31, 39, 44,
- Section 3.3 -- 21, 23, 25, 27, 33, 43, 45, 51, 53

- Review exercises and problems for chapter 3 -- a sample of exercises from 1-74; 77, 79, 83, 84, 96, 107, 108, 109, 111, 115