Vector-Valued Functions, Curves and Motion in 3D Space, Differentiation -Calculus 3

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This video explains vector-valued functions, including definition vs real-valued functions, extending the concepts of limits and continuity, derivatives and differentiability, representing the motion along a curved path in 3D space (such as a helix or cycloid), vector functions of constant length and orthogonality, and worked examples.

0:00 Vector-valued functions, curves in 3D space
2:52 Limits and continuity
5:33 Derivatives and differentiability
10:40 Motion in 3D space
12:25 Differentiation rules
16:00 Vector-valued functions with constant length and orthogonality
17:36 Worked Examples

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