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The Hole That Isn't There: Derivative Traps Most Students Miss · SUN
Audio Course
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The Hole That Isn't There: Derivative Traps Most Students Miss
Introduction
0:00
2:18
Episodes
Transcript
0. Introduction
2:18
1. Why Derivatives Matter: From Secant Slopes to Real‑World Change
1:39
2. Limits Unpacked: One‑Sided, Two‑Sided, and the Mystery of Holes
2:55
3. Continuity: The Three‑Part Test
2:03
4. What the Derivative Means: Units, Graphs, and Sketching F′
2:56
5. Power Rule Mastery: Rewrites, Roots, and Negative Exponents
2:08
6. Linear Approximation: Tangent Line as a Local Shortcut
1:42
7. Algebraic Traps: Signs, Exponents, Fractions, and Calculator Care
4:13
8. Preview of Derivative Tests: Max, Min, and Optimization
2:12
9. Exam‑Day Tips: 4‑Function Calculator Mastery & Step‑by‑Step Proofs
2:15
