Differential Calculus · Calculus

The Derivative and Differentiation Rules

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

Key Questions

  1. 1How does the chain rule allow us to differentiate functions that are nested within one another?
  2. 2What is the geometric relationship between the derivative of a function and the slope of its tangent?
  3. 3Why is the derivative of an exponential function proportional to the function itself?

MOE Syllabus Outcomes

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

Suggested Methodologies

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More in Differential Calculus

Applications of Differentiation

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

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