Exponential and Logarithmic Functions · Functions and Relations

The Natural Base e

Understanding the unique properties of the number e and its role in continuous growth models.

Key Questions

  1. 1Why is the function e to the power of x unique in the context of differentiation?
  2. 2How does continuous compounding differ from discrete interval compounding in finance?
  3. 3Where does the number e emerge naturally outside of financial mathematics?

ACARA Content Descriptions

AC9MFM06
Year: Year 12
Subject: Mathematics
Unit: Exponential and Logarithmic Functions
Period: Functions and Relations

Suggested Methodologies

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