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🎵 Calculus I Lesson 20: Concavity and Inflection Points — Solve f''(x) = 0 for a Cubic's Inflection Point mess around all you want, nothing here saves
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Calculus I, Lesson 20: Concavity and Inflection Points

Math skill: Solve f''(x) = 0 for a Cubic's Inflection Point

How the beat teaches it: Every slot gives f(x) = x³ - 3ax² — the second derivative is f''(x) = 6x-6a, which is zero exactly at x=a, the inflection point where concavity switches. Build that many notes anywhere in the kit.

This is lesson 20 of 24 in RockBlocks Math, Calculus I, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, The First Derivative Test,” covered find a Local Maximum's Value. Next is Lesson 21, Optimization — Maximizing Rectangle Area.”

Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.