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