Lectures related to Implicit function

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Implicit Curves: Analysis & Regular Points

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

Implicit Differentiation: Solving Equations Locally

Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.

Implicit Differentiation

Explores implicit differentiation and the Implicit Function Theorem for finding unique local functions.

Implicit Functions: Theory and Examples

Explores the theory of implicit functions, their properties, and illustrative examples.

Implicit Functions: Theory and Applications

Explores implicit functions theory, derivatives, solutions existence, and applications.

Implicit Functions Theorem

Explains the Implicit Functions Theorem and conditions for defining functions implicitly.

Tangent Plane to Implicit Function

Explores the tangent plane to implicit functions, emphasizing equations and graphical representations.

Implicit Functions

Covers directional derivatives, implicit functions, and finding equations of tangents.

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Implicit Function Theorem: Tangent Hyperplane

Explores the implicit function theorem for n=2 and n=3, focusing on tangent hyperplanes.

Implicit Functions: Tangent Plan Equation

Covers implicit functions of class C and the equation of the tangent plane.

Exact Differential Equations

Revisits exact differential equations, discussing implicit function theorem and factors integrants.

Implicit Functions: Local Existence Theorem

Discusses implicit functions and the local existence theorem for finding solutions.

Implicit Functions: Lagrange Multipliers

Explores implicit functions and Lagrange multipliers, demonstrating their properties and applications.

Implicit Functions Theorem

Discusses finding min and max of functions on compact sets and the theorem of implicit functions.

Classes and Functions

Explores sufficient conditions for functions and implicit functions in finding solutions.

Implicit Examples: Hyperplane and Stationary Points

Illustrates finding hyperplanes for surfaces and determining stationary points.

Implicit Functions Theorem

Covers the Implicit Functions Theorem and its applications in defining functions implicitly.