Module 13 - Implicit Differentiation
  Introduction | Lesson 1 | Lesson 2 | Self-Test

In this module you will study expressions where y is not explicitly defined as a function of x. In these expressions the relation between y and x is implicit, i.e., implied, and they are called implicit relations. It is often difficult and sometimes impossible to solve for y in terms of x. Therefore, different methods are needed to graph an implicit relation on the TI-89 and to find its derivative.

Lesson Index:

    13.1 - Graphs of Implicit Relations

    13.2 - Implicit Differentiation

After completing this module, you should be able to do the following:

  • Use the TI-89 to graph an implicit relation
  • Find by hand using implicit differentiation
  • Use the TI-89 to find for implicit relations
  • Find tangent lines to implicitly defined curves
  • Use the TI-89 to solve nonlinear systems of equations

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