AP Test Prep

Calculus AB/BC - Exploring Behaviors of Implicit Relations

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Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific point is a maximum or minimum. Individuals practice these skills with a short practice set.

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Instructional Ideas
  • Ask learners to identify whether they will need the first or second derivative to answer the question before starting
Classroom Considerations
  • Assumes knowledge of taking implicit differentiation
  • Installment 13 in the 14-part Analytical Applications series
  • This video is hosted on YouTube
  • Provides the justifications for each solution
  • Includes additional exercises for practice toward mastery
  • None