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Lecture
Implicit Functions
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Related lectures (24)
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Real Functions: Definitions and Properties
Explores real functions, covering parity, periodicity, and polynomial functions.
Optimization: Local Extrema
Explains how to find local extrema of functions using derivatives and critical points.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
Theorem of Generalized Mean Value: Study of Functions
Explores the conditions for continuity and differentiability of functions on a closed interval.
Functions of Class C^p
Explores functions of class C^p, emphasizing continuity and differentiability properties.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Functions: Differentials, Taylor Expansions, Integrals
Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.
Partial Derivatives and Derivability
Explains partial and directional derivatives, and functions' derivability.
Integral: Motivation
Covers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.