2.1, 3.1 and 3.2 Average and Instantaneous Rate of Change and Formal Def of Derivative

Objectives

By the end of this section, you will be able to:

• Find the average rate of change of a function over an interval.
• Understand the geometric meaning of average rate of change.
• Solve applications involving rates of change.
• Find the slope and equation of the tangent line at a given point.
• Solve applications involving tangent lines at points.
• Find instantaneous rate of change and learn what it means geometrically.
• Learn the formal definition of a derivative and find the derivative of different functions.
• Learn at what points a function does not have a derivative.

 

Readings and Lecture Videos

Review the course materials provided below:

• 2.1 and 3.1 Average Rate of Change and Instantaneous Rate of Change.pptx Download 2.1 and 3.1 Average Rate of Change and Instantaneous Rate of Change.pptx Print 4 or 6 slides per page
• 2.1 and 3.1 Average Rate of Change and Instantaneous Rate of Change.pdf  Download 2.1 and 3.1 Average Rate of Change and Instantaneous Rate of Change.pdf 
• 2.1, 3,1, and 3.2 Rate of change and Derivatives-Meeting Recording.mp4 Links to an external site. - Part 1
• 2.1, 3,1, and 3.2 Rate of change and Derivatives-Meeting Recording.mp4 Links to an external site. - Part 2

 

Assessments

• HW 7 2.1, 3.1 and 3.2
• Self-Assessment #1
• Test 1 Review
• Test 1