L2 Increasing and Decreasing Functions - Part 1
Completion requirements
Unit 3
Curve Sketching
Lesson 2: Increasing and Decreasing Functions
There are several relationships between a function and its derivative. In this lesson you will explore one relationship in detail.
Click the interactive button to open the applet Where is the Derivative Positive? The applet shows a polynomial function that can be transformed by moving the points on the graph.
Interactive
Click the interactive button to open the applet Where is the Derivative Positive? The applet shows a polynomial function that can be transformed by moving the points on the graph.
- Predict the regions where the derivative of this function will be positive and where it will be negative.
- Use the checkboxes to check your prediction.
- Move some points on the graph of the original function and try again.