3.6 Implicit Differentiation

OpenStax Calculus Volume 1 — Section 3.6

Learning Objectives

  • Recognize when a function is defined implicitly vs. explicitly

  • Apply implicit differentiation using the chain rule on \(y\)

  • Find \(\frac{dy}{dx}\) for equations like \(x^2 + y^2 = r^2\)

  • Find tangent lines to implicitly defined curves

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.