Derivatives of Trigonometric Functions: The Six Rules
An English Calculus I lecture that derives the six trigonometric derivative rules and turns them into scoreable tangent-line, motion, and product-rule work.
This English Calculus I lecture develops the six trigonometric derivative formulas from the sine and cosine rules, then works a product-rule derivative, a tangent line, and a particle-at-rest problem. It also explains why the formulas assume radian measure and highlights the sign, domain, and rule-selection errors that commonly lose exam credit. The standard formulas and worked-problem patterns follow OpenStax Calculus Volume 1, Section 3.5. 1
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US Freshman Calc I
全英文美国大一 Calculus I 系列课。按主流 section 顺序推进，每集对齐一节课本 session：讲清定义与定理条件，再完整板书典型例题与易错点。
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