Concavity and Convexity: Analysis of Functions

Related lectures (30)

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Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Explores the sufficient optimality conditions for local minima in functions.

Covers the derivative of the composition of two functions and the chain rule theorem.

Covers the properties and operations of convex functions.

Covers the concept of continuous derivatives and their application in analyzing functions and determining critical points.

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Explores the study of local minima and maxima through derivatives and sign changes.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores the study of local extrema using derivatives and the importance of continuity at critical points.