Derivative Example (Calculus Intro)
- Author:
- talljerome
This is a classroom activity in which the "slope of a curve" is calculated and graphed at many points along the curve. The concept of a "derivative function" that passes through all those points is developed, and an equation for that function is sought.
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Each student in a class is assigned an x value. Student names are entered in the GeoGebra spreadsheet accordingly. For each student the task will become: Find the "slope of the curve" at that x value (or more specifically, the slope of the line that is tangent to the curve at that point).
Teacher chooses one x value to use as an example before asking students to perform the steps individually. On a Texas Instruments TI-83 or TI-84 graphing calculators, start by pressing:
- Zoom
- 4: ZDecimal
- Trace
- (enter the assigned x value)
- Zoom
- 2: ZoomIn
- Enter
- Trace