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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).

This clip explains the importance of constants: what they are and how they play a role in derivatives and integrals. This significant clip explains how to use integrals in an equation and on a graph while incorporating the logistical and necessary definition of constants. This uses visuals of a graph and numbers to form the equation and understanding of integrals, derivatives, and constants. Shini also explains initial value and position graphs.

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.

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)

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.

This Crash Course video gives different explanations of derivatives. She iterates how to use the power rule with negative exponents as well as fractions.

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 surprisesÂ them throughout the conversation but especially when he asks to purchase $100 million instead of $5 million in credit default swaps.

When understanding derivatives, individuals learn about the power rule. Continuously, the power rule is used with integrals. This video explains how to find the "backwards" of a derivative to find the integral using the power rule. This also incldues an explanation of integrals of trigonomic functions as well as e.

Members of math club explain that the distributive property doesn't change the value of the expression, only how the answer is derived. They stress that you every number within the parenthesis is multiplied. They also mention that the distributive property applies only to multiplication, not addition.