Calculus: The Study of Change · Calculus and Analysis

Rates of Change and Derivatives

Exploring the concept of the derivative as an instantaneous rate of change and its geometric representation as a tangent slope.

Key Questions

  1. 1How does the concept of a limit allow us to define change at a single point?
  2. 2Why is the derivative of a function also a function itself?
  3. 3When does a mathematical model fail to be differentiable in a real world context?

ACARA Content Descriptions

AC9MFM01AC9MFM02
Year: Year 12
Subject: Mathematics
Unit: Calculus: The Study of Change
Period: Calculus and Analysis

Suggested Methodologies

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