Curves: differentiability and smoothness

Related lectures (29)

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

Explores finding the equation of the tangent line to a function's graph at a point.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

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

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

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

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.