Understanding the differential of a vector valued function

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https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/derivative-of-a-position-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus

Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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