Extrema of Functions

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

Covers the properties and operations of convex functions.

Covers Taylor approximation, convex functions, and integrable properties.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

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

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

Covers analyzing the graph of a function using a nine-point process.

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

Covers the conditions for finding absolute extrema in multivariable functions.