Increasing or decreasing? Concave up or down? Local maximum or inflection point?
This problem set develops one of the most important skills on the AP Calculus exam: using derivative information to understand an entire function.
You'll practice moving between graphs of \(f\), \(f'\), and \(f''\), analyzing sign changes, identifying extrema and inflection points, and making conclusions without needing an explicit formula.
Inside: 4-question diagnostic • first-derivative analysis • concavity • extrema & inflection points • graph relationships • AP-style questions • readiness check • complete solutions
Increasing or decreasing? Concave up or down? Local maximum or inflection point?
This problem set develops one of the most important skills on the AP Calculus exam: using derivative information to understand an entire function.
You'll practice moving between graphs of \(f\), \(f'\), and \(f''\), analyzing sign changes, identifying extrema and inflection points, and making conclusions without needing an explicit formula.
Inside: 4-question diagnostic • first-derivative analysis • concavity • extrema & inflection points • graph relationships • AP-style questions • readiness check • complete solutions