Rates of Change

Advanced Functions
MHF4U1 (Grade 12 University Preparation)

Introduction to Rates of Change | Part 1

Concepts

  • distance versus displacement
  • speed versus velocity
  • distance-time graphs
  • displacement-time graphs
  • constant rates of change
  • increasing/decreasing rates of change
  • calculating rates of change
  • comparing rates of change

Relevant Links

Introduction to Rates of Change | Part 2

Average Rate of Change

Concepts

  • average velocity versus instantaneous velocity
  • definition of average rate of change
  • average rate of change as the slope of a secant line
  • calculating average rates of change

Relevant Links

Instantaneous Rate of Change

Concepts

  • using average rates of change to estimate instantaneous rate of change
  • using secant slopes to estimate tangent slope

Rate of Change at Extreme Points

Concepts

  • instantaneous rate of change at local maximum and minimum points
  • tangent slope at local maximum and minimum points
  • using secant slopes to verify local maximum and minimum points

Other Resources and Links

Unit review

Concepts

  • review of all concepts covered in the Rates of Change unit