Derivatives and Graphs

Derivatives and Graphs Introduction

4.1 Related Rates - covered in Week 5

4.2 Linear Approximations and Differentials - SKIP

4.3 Maxima and Minima

• Assignment:

  • Read through this section.

  • Complete all checkpoints and  examples.

  • Complete odd-numbered exercises  91-97, 101-133.

4.4 The Mean Value Theorem

• Assignment:

  • Read through this section.

  • Complete all checkpoints and  examples.

  • Complete odd-numbered exercises  149-155, 171-181.

4.5 Derivatives and the Shape of a Graph

• Assignment:

  • Read through this section.

  • Complete all checkpoints and  examples.

  • Complete odd-numbered exercises  195-215, 223-229.

4.6 Limits at Infinity and Asymptotes - SKIP

4.7 Applied Optimization Problems - covered in Week 4

4.8 L’Hôpital’s Rule - SKIP

4.9 Newton’s Method - SKIP

4.10 Antiderivatives - covered in Week 6

Review Exercises

• Assignment: Complete odd-numbered exercises 525-529, 533, 537.