MA101: Single-Variable Calculus I

4.8: Implicit Differentiation

• Whitman College: David Guichard's "Calculus, Chapter 4: Transcendental Functions, Section 4.8: Implicit Differentiation" URL

  Read Section 4.8 (pages 87-90). As a result of the chain rule, we have a method for computing derivatives of curves which are not explicitly described by a function. This method, called implicit differentiation, allows us to find tangent lines to such curves.
  

• Massachusetts Institute of Technology: David Jerison's "Implicit Differentiation" Page

  Watch this video.

• Whitman College: David Guichard's "Calculus, Chapter 4: Transcendental Functions, Exercises 4.8: Problems 1-9, 11-16" URL

  Work through problems 1-9 and 11-16 for Exercise 4.8. When you are done, check your answers against Appendix A.