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Calculus: The Study of Change · Term 1

Implicit Differentiation

Students learn to differentiate equations where y is not explicitly defined as a function of x, using implicit differentiation.

Key Questions

  1. Analyze why implicit differentiation is necessary for equations that are not easily solved for y.
  2. Explain the role of the chain rule in implicit differentiation.
  3. Construct an implicitly defined curve and find the slope of the tangent at a given point.

ACARA Content Descriptions

AC9MFM02
Year: Year 12
Subject: Mathematics
Unit: Calculus: The Study of Change
Period: Term 1

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