Derivatives: Definition and Examples

Related lectures (27)

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Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Explores Taylor series expansions for derivatives and integrals, including practical applications.

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

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Explains definitions and remarks about closed intervals in functions.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Explores generalized finite increments, derivatives, reciprocals, and Bernoulli-L'Hospital rule.

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

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