Differential Calculus · Calculus

Applications of Differentiation

Using derivatives to solve problems involving tangents, normals, and optimization in various contexts.

Key Questions

  1. 1How can we use the second derivative test to distinguish between local maxima and minima?
  2. 2In what ways does calculus improve the accuracy of small increment approximations compared to linear models?
  3. 3How do we identify the constraints in an optimization problem to form a differentiable function?

MOE Syllabus Outcomes

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

Suggested Methodologies

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The Derivative and Differentiation Rules

Extending differentiation to include product, quotient, and chain rules for transcendental functions.

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