Discovering a rule or theorem is more interesting than watching someone else state and prove it. The discovery process creates a sense of ownership and a natural inclination to prove the theorem. In this module you will use the TI-89 to discover rules of differentiation by using the same type of discovery or inductive learning described in Module 2.

Recall from Lesson 2.3 the process used to discover a pattern is

• Explore several related examples
• Describe verbally the pattern of the results found in the exploration
• Predict the result
• Test the prediction
• Extend the type of examples explored
• Generalize

Lesson Index:

10.1 - The Power Rule

10.2 - The Product Rule

10.3 - Scripts

10.4 - The Chain Rule

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

• Use your TI-89 to investigate derivatives and discover rules of differentiation
• Understand and apply rules of differentiation such as the Power, Product and Chain Rules
• Create a TI-89 script
• Execute a TI-89 script
• Download a script to your calculator