This is topic 26 in my AP Calculus curriculum. This PowerPoint guides students through how to analyze derivatives so that they can show how the shape of a graph is affected. Students use the first and second derivative tests to find extrema and the concavity test to find inflection points. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.