Derivatives as Rates of Change: Apply It

  • Calculate how quantities change on average over time
  • Use rates of change to figure out how an object’s position, speed, and acceleration are changing over time
  • Estimate future population sizes using current data and how fast the population is growing
  • Use derivatives to determine the cost and revenue of producing one more unit in a business

Rate of Change Applications in Real-World Scenarios

In this Apply-It task, you’ll explore how the Amount of Change Formula and related concepts can be applied to various real-world situations, including motion analysis, population growth, and business economics.