Closed Intervals: Definitions and Remarks

Related lectures (29)

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

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

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

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

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

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

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

Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.

Covers the concept of approximating a function around a point xo using linear approximation.

Covers differentiable functions, derivatives, and tangent planes in mathematics.