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4.5 Implicitly Defined Functions - Review

This review will guide you through an adaptive, research-backed study session. As you answer questions, we will actively assess your current understanding of the material. Questions will continue to be drawn until you have demonstrated mastery of each learning objective.

Reviews are graded based on completion. You will receive full credit for achieving 100% mastery or answering all questions.

Learning objectives for this review:

  • Explain how functions can be defined implicitly by equations that involve both variables without explicitly solving for one variable in terms of the other.
  • Use techniques such as implicit differentiation to study the properties and behavior of implicitly defined functions.
  • Apply implicit functions to model relationships between variables that are not easily expressed in explicit form.