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Differential Calculus and Its Applications · Term 1

Concavity and Points of Inflection (Second Derivative Test)

Students will use the second derivative to determine concavity and locate points of inflection.

Key Questions

  1. Analyze the relationship between the sign of the second derivative and the concavity of a function.
  2. Differentiate between a local extremum and a point of inflection.
  3. Predict the shape of a function's graph based on its second derivative's sign changes.

CBSE Learning Outcomes

NCERT: Applications of Derivatives - Class 12
Class: Class 12
Subject: Mathematics
Unit: Differential Calculus and Its Applications
Period: Term 1

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