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Introduction to Differential Calculus · Term 3

The Second Derivative and Concavity

Using the second derivative to determine concavity and identify points of inflection.

Key Questions

  1. Explain how the second derivative helps us understand the concavity and 'shape' of a curve.
  2. Analyze the relationship between the second derivative and the acceleration of an object.
  3. Justify the use of the second derivative test for classifying stationary points.

ACARA Content Descriptions

AC9M10A05
Year: Year 11
Subject: Mathematics
Unit: Introduction to Differential Calculus
Period: Term 3

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