Differentiation of Exponential Functions
Mathematics · Year 11 · Introduction to Differential Calculus · Term 3

Differentiation of Exponential Functions

Learning and applying rules for differentiating exponential functions, especially those with base 'e'.

ACARA Content DescriptionsACARA Australian Curriculum v9: Mathematical Methods 11, Unit 2 Functions and graphs: Model and solve practical problems involving trigonometric functions (AC9M11F06)ACARA Australian Curriculum v9: Mathematical Methods 11, Unit 2 Functions and graphs: Recognise symmetry properties of the graphs of sine, cosine and tangent (AC9M11F05)

About This Topic

Learning and applying rules for differentiating exponential functions, especially those with base 'e'.

Key Questions

  1. Explain why the derivative of e^x is e^x.
  2. Analyze the chain rule's application when differentiating composite exponential functions.
  3. Predict the rate of change for an exponential growth or decay model at a specific time.

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Edited by Adriana Perusin, Editor-in-Chief, Flip Education