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Covers using the power rule to find derivatives, finding slopes and equations for tangent and normal lines, using derivatives to find maxima and minima, using 1st derivative test (sign diagrams) to determine a maxima or minima, and using derivatives for optimizing problems. While broadly useful, this video specifically covers the differential calculus portion of the International Baccalaureate curriculum for Applications and Interpretations, specifically as covered in Chapter 12 of the Oxford University Press textbook. I welcome comments or questions regarding this video or my YouTube channel. As you might guess, I am passionate about education and helping teenagers mature into competent, empowered, and caring human beings. I am currently exploring "Building Thinking Classrooms in Mathematics", which is transforming my classroom practice and spurring me to innovate. I welcome comments or questions from my fellow educators. Here's a link to the BTC website: https://www.buildingthinkingclassroom... This video may use or modify content from a number of textbooks, including: Oxford University Press IB Diploma Program https://global.oup.com/education/cont... Haese Mathematics IB Middle Years Program https://www.haesemathematics.com/inte... Activate Learning's Interactive Mathematics Program https://activatelearning.com/high-sch...