Graph of the derivative
Task
Graph the derivative of a function.
Watch the video below and learn how to create an applet for exploring the derivative with GeoGebra Graphing Calculator. Then try it yourself by following the instructions below.
Watch this video...
Instructions
| 1. | | Enter into the Input Bar. |
| 2. | | Create a slider for a parameter n. Therefore enter into the Input Bar and press Enter. A slider for n will be created automatically. |
| 3. | | Create a point A by entering the coordinates into the Input Bar. |
| 4. | | Move the slider and explore how A is moving along the graph of f(x). |
| 5. | | Select point A and change its point size and color. |
| 6. | | Enter the command into the Input Bar to create a tangent g. |
| 7. | | Enter the command into the Input Bar. |
| | | Note: The slope of the tangent g will be labeled a and displayed in the Graphics View. |
| 8. | | Again move the slider and watch how the tangent and slope are changing. |
Try it yourself...
Instructions (continued)
| 9. | | Create a point B by entering the coordinates into the Input Bar. |
| 10. | | Select point B and change its color and point size. |
| 11. | | Move the slider and explore how point B is moving. |
| 12. | | Enter into the Input Bar to graph the derivative of f(x). |
| 13. | | Move the slider again and explore how the graph of the derivative is retraced by point B. |