Transcendental Functions and Growth · Algebraic Thinking

The Natural Base e

Investigating the origin and applications of the constant e in continuous compounding and growth.

Key Questions

  1. 1Why does the constant e appear so frequently in biological and financial growth models?
  2. 2How does continuous compounding differ conceptually from discrete interval compounding?
  3. 3What is the unique relationship between the function e to the x and its own rate of change?

Common Core State Standards

CCSS.Math.Content.HSF.LE.A.4CCSS.Math.Content.HSF.IF.C.7.e
Grade: 12th Grade
Subject: Mathematics
Unit: Transcendental Functions and Growth
Period: Algebraic Thinking

Suggested Methodologies

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