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AP Calculus (BC) Topics
I. Functions, Graphs and Limits
D. Continuity as a property of functions.
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Understanding continuity in terms of limits.
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Geometric understanding of graphs of continuous functions (Intermediate
Value Theorem and Extreme Value Theorem).
II. Derivatives
E. Applications of derivatives.
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Analysis of curves, including the notions of monotonicity and concavity.
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Optimization, both absolute (global) and relative (local) extrema.
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Modeling rates of change, including related rates problems.
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Use of implicit differentiation to find the derivative of an inverse function.
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Interpretation of the derivative as a rate of change in varied applied
contexts, including velocity, speed, and acceleration.
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