Often, students see calculus as a static set of rules and formulas that need memorizing--rarely thinking of their geometrical and visual implications and origins. In Grant Sanderson's video "Visualizing the chain rule and product rule," we learn new ways of internalizing the basic differential rules presented in Chapter 3. Knowing the formulaic way of finding derivatives and their geometrical interpretations brings a rich understanding of what derivatives actually mean in this context.

https://youtu.be/YG15m2VwSjA

Reflection Questions:

1. What are your initial reactions to the video?
2. Name three things you didn't know about derivatives but are aware of now.
3. Did you find Grant's explanations helpful or confusing? Explain your selection.
4. Does seeing geometrical presentations of the sum, product, and chain rule formulas strengthen your understanding of their origins? Give examples.