Tangent Lines and Approximation

Related lectures (29)

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Explores differentiability in functions and geometric interpretation of tangent planes.

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

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers derivability, tangents, Rolle's theorem, and linear approximation of functions.

Explores the construction of elliptical arches using a single ellipse arc.

Covers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.

Explores the definition and applications of tangent vectors in determining curve directions on surfaces.