The Chain Rule (OpenStax 3.6 Selected Problems from 221–245)
Master the chain rule fast with six targeted examples: identify inner/outer functions, handle multi-layer compositions, mix in power/product forms, and evaluate derivatives from tables. I walk step-by-step through Problems 221, 223, 227, 233, 235, and 245—highlighting patterns, common pitfalls, and quick checks—so you can recognize when and how to apply the chain rule with confidence on exams.
00:00 - Introduction
00:12 - Problem 221 - Decompose composite function; compute derivative via chain rule
01:59 - Problem 223 - Identify inner/outer functions; differentiate using chain rule
03:19 - Problem 227 - Multiple composition; apply chain rule repeatedly
03:56 - Problem 233 - Differentiate given function explicitly using chain rule
04:44 - Problem 235 - Compute y prime; apply chain rule accurately
06:00 - Problem 245 - Use value table; evaluate derivative via chain rule
07:16 - Outro