Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums

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Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.

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Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Explores concavity, convexity, critical points, and singularities in functions.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Explores Taylor series, function properties, inflection points, and critical points in graphical and mathematical contexts.

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.

Covers the study of functions, including limits, derivatives, and sign variations.