Derivatives: Definition and Properties

Related lectures (27)

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

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

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

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers differentiability theorems and methods to check for differentiability in functions.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

Explains partial and directional derivatives, and functions' derivability.

Explores the properties and methods of differentiable functions, including strong recurrence and demonstration techniques.