Summary AP Calculus AB+BC Unit 5: Analytical Applications of Differentiation
MVT vs. IVT, the Extreme Value Theorem, critical points, a fully worked sign-chart example, concavity, points of inflection, the 2nd Derivative Test, and f(x)-vs-f'(x) curve sketching — plus optimization strategy, step by step. This is one of the most heavily tested units on the AP exam, and these notes lay every theorem out with the exact conditions you need to justify your answers (a huge chunk of FRQ points).
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