EGR 1101 Unit 8 Lecture #1. The Derivative (Sections 8.1, 8.2 of Rattan/Klingbeil text). A Little History. Seventeenth-century mathematicians faced at least four big problems that required new techniques: Slope of a curve Rates of change (such as velocity and acceleration)
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(Sections 8.1, 8.2 of Rattan/Klingbeil text)
(using t for the independent variable).
Applications of Derivatives: Position, Velocity, and Acceleration
(Section 8.3 of Rattan/Klingbeil text)