Relationship Between f and f’: Quick Refresher. Note: WHITE POINT can be dragged & function can be changed.

**How it works ?**

In the applet below, note the three colored function graphs *a*, *b*, and *c*.

**Function a is shown as a blue graph.**

**Function b is shown as a brown graph.**

**Function c is shown as a purple graph.**

In each problem you generate here,

One graph represents an original function **y = f(x)**

Another graph shown is the graph of the derivative of function * f: y=f'(x)*.

The remaining graph is the graph of the 2nd derivative of function **f: y=f”(x)**

**Your goal is to determine which graph is which. **

Simply check one of the checkboxes under each label on the top right side. After doing so, click “Check Answer”. If your answers are not correct, work at correcting them.

**Note: **You can zoom out if you would like to see all 3 graphs more from a distance.

For a resource that dynamically illustrates the relationship between the graph of a function and the graph of its derivative function, see the GeoGebra applet BELOW THIS QUIZ APPLET.

Select the **New Problem** button to create a new problem.