Concavity and Convexity: Analysis of Functions

Related lectures (30)

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Explores motion graph analysis, focusing on function study and derivative interpretation.

Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

Explores convexity, optimization, and critical points in mathematical functions using the second derivative.

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

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

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Illustrates finding hyperplanes for surfaces and determining stationary points.

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

Covers the concepts of convexity and concavity in functions with examples.

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