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Differential Calculus and Its Applications · Term 1

Increasing and Decreasing Functions

Students will use the first derivative to determine intervals where a function is increasing or decreasing.

Key Questions

  1. Analyze the relationship between the sign of the first derivative and the behavior of a function.
  2. Differentiate between a function that is strictly increasing and one that is merely increasing.
  3. Predict the shape of a function's graph based on its first 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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