Remarks and Demonstrations

Related lectures (29)

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Covers the definitions of differentiable and derivable functions and their geometric interpretation.

Explores differentiable functions in R², including vector fields and coordinate transformations.

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Explains definitions and remarks about closed intervals in functions.

Explores curve length, function definition, continuity, derivatives, integrals, and graphical representations of functions in two variables.

Covers the terminology and definitions of functions of class Ck on real number intervals.

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

Explores integration by parts technique through examples involving trigonometric functions and exponentials.

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

Covers the derivative of the reciprocal function and its properties.