Extremes of Functions: Desirability and Decorability

Related lectures (30)

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Covers necessary conditions for extrema and provides illustrative examples.

Discusses local extrema of functions in two variables around the point (0,0).

Explores decreasing and growing functions, bounded sequences, and limit existence.

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

Explores limits, convergence, and boundedness of functions and sequences.

Covers the calculation of minimum points and the concept of definite integrals.

Discusses optimization techniques, focusing on local and global extrema in functions.

Covers the functions xr, r>0, on [1, +∞], exploring their limits and properties.

Covers the concept of extrema of functions, including local and global maxima and minima.

Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.