Calculus 3: Vector Calculus in 2D (28 of 39) The Circle and Finding Arc Length

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In this video I will examine the change in the position vector (r) and the arc length on any point of the circle with respect to the arc length (s) and the parametric variable (t) and the relationship between them.

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I don't understand why we took derivative of position vector respect to S?

Ahmett__