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Differential Calculus · Semester 2

Stationary Points and Nature of Stationary Points

Students will find stationary points and determine their nature (maxima, minima, points of inflexion) using first and second derivative tests.

Key Questions

  1. Explain how the first derivative test identifies local extrema.
  2. Compare the first and second derivative tests for determining the nature of stationary points.
  3. Analyze the significance of a point of inflexion on the graph of a function.

MOE Syllabus Outcomes

MOE: Differential Calculus - JC1
Level: JC 1
Subject: Mathematics
Unit: Differential Calculus
Period: Semester 2

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