In this module you will compute and describe derivatives of functions. You will use the formal definition, as well as the derivative features of the TI-83, to find the derivative of a function at a point. The dynamic graphing abilities of the TI-83 will help you connect the concept of derivative with local linearity. You will also use a calculator program to animate tangent lines of a function, which may help you conceptualize the derivative as a function.

Lesson Index:

10.1 - The Derivative at a Point

10.2 - Local Linearity

10.3 - The Derivative as a Function

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

• Use the formal definition of the derivative to find the derivative of a function at a point
• Use the numeric derivative function of the TI-83 to approximate derivatives
• Use the derivative feature in the Graph screen's CALCULATE menu to find approximate derivatives
• Use the Zoom feature to determine if a function is locally linear
• Download a program from your computer to your TI-83
• Use graphical and symbolic methods to conceptualize the derivative as a function