This video explains the main focus of derivatives. This Crash Course Narrator, Shini, defines how to use mathematics to write derivatives and calculate them. Additionally, Shini introduces the Power Rule (which is a way to calculate derivatives)

This section of the Crash Course explains what Limits are and why they are useful. Shini (the woman in the video) explains what an interval is and how they are used for limits.

In this video, the Crash Course expert, Shini, explains how trigonometry plays a role in derivatives. She displays the graphs of sin and cos and uses those to show how she arrived at the derivatives of each. She also defines the derivatives of each of the trigonomic measures (sin, cos, tan).

Michael speaks with representatives at Goldman Sachs to purchase credit default swaps on mortgage bonds. They explain that this means he is betting against the housing market, that millions of people won't be able to pay off their mortgages. Michael surprises them throughout the conversation but especially when he asks to purchase $100 million instead of $5 million in credit default swaps.

Bart's gifted school teacher hides a joke in the answer of a derivatives problem. Bart doesn't seem to get the joke, so the teacher briefly explains how she arrived at the answer.