Derivatives and Continuity

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Related lectures (28)

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Differentiability and Partial Derivatives

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

Chain Rules

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Differentiability and Composition

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

Differentiability and Derivatives

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Derivability and Chain Rule

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

Differential Calculus: Definition and Derivability

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

Derivatives and Reciprocal Functions

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Derivatives Rules: Notation, Extrema

Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.

Derivative Chain Rule

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

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.