Introduction to Differential Calculus · Calculus

The Derivative and Differentiation Rules

Learning the formal definition of the derivative and the shortcuts used to differentiate polynomials.

Key Questions

  1. 1How does the 'first principles' approach connect average rate of change to instantaneous rate of change?
  2. 2Why do we need specific rules like the power rule to handle complex functions efficiently?
  3. 3What information does the derivative provide about the slope of a tangent line?

ACARA Content Descriptions

AC9M10A05
Year: Year 11
Subject: Mathematics
Unit: Introduction to Differential Calculus
Period: Calculus

Suggested Methodologies

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