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Optimizing Volume with Differential Calculus

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Feb 7, 2026
15:42

Works through using differential calculus to optimize the volume of a semi-cylinder. Outlines a general problem solving process for this type of problem, including formula manipulation, substitution, and derivation. 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.buildingthinkingclassrooms.com/ This video may use or modify content from a number of textbooks, including: Oxford University Press IB Diploma Program https://global.oup.com/education/content/secondary/series/ib-mathematics-course-books/?region=international Haese Mathematics IB Middle Years Program https://www.haesemathematics.com/international-baccalaureate-ib Activate Learning's Interactive Mathematics Program https://activatelearning.com/high-school-curriculum/interactive-mathematics-program-imp/

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Optimizing Volume with Differential Calculus | NatokHD