Minimization of functions

Related lectures (29)

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Covers the properties and operations of convex functions.

Explores the integration by parts technique through examples, showcasing its step-by-step application to functions like cos(x) and sin(x.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Demonstrates the practical application of theorems in calculus through two clever examples.

Presents the solution to finding the second-order Taylor polynomial of a function.

Explains how to find local extrema of functions using derivatives and critical points.

Covers the composition of piecewise functions and introduces the signum and Heaviside functions.