Lectures related to Derivative Composition Theorem

Derivative Chain Rule

Covers the derivative of the composition of two functions and the chain rule theorem.

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.

Differentiability and Composition

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Derivability and Composition of Functions

Explores derivability and function composition with examples.

Advanced Analysis II: Derivatives and Functions

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

Derivability and Chain Rule

Covers the demonstration of the chain rule and the theorem of Rolle.

Differential Calculation: Trigonometric Derivatives

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

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Derivatives: Definition and Properties

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Differential Calculus: Definition and Derivability

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Derivatives: Chain Rule and Composed Functions

Covers derivatives, chain rule, and composed functions with examples and applications.

Theorem of Generalized Mean Value: Study of Functions

Explores the conditions for continuity and differentiability of functions on a closed interval.

Differentiability and Tangent Lines

Explores differentiability, tangent lines, and graph interpretation.

Derivability and Continuity

Explores derivability, continuity, and composite functions with illustrative examples.

Continuity and Differentiability of Functions

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Linear Applications and Matrix Derivatives

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Derivatives and Chain Rule

Covers derivatives, chain rule, function development, and primitive functions for integration.

Derivatives and Hyperbolic Functions

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.