**Learning objectives**

- Compute derivatives of the basic modeling functions: , polynomials, , , ,
- Compute derivatives of linear combinations:
- Use the chain rule for the derivative of a function
- Use the product rule for the derivative of a function
- Find the equation of a tangent line: where and
- Use algebraic differentiation to answer questions in applied contexts

**Before class**

- Read Hughes-Hallett 3.1, 3.2, 3.3, 3.4 (product rule only).
- Ponder problems 3.1. 2, 6, 8, 20, 30, 38, 46, 48, 52, 60; 3.2. 2, 12,16, 26, 34, 40, 44; 3.3. 2, 4, 6,12,14, 42; 3.4. 6, 8, 27, 35, 37.
- Study the formula sheet
- Study reasons for the formulas

**In class**

- Examine the main points of the lesson
- Practice problems check answers with Wolfram Alpha or R
- Derivatives and tangent lines with R
- Fun with Wolfram Alpha