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Position vector functions and derivatives

4 videos
In this tutorial, we will explore position vector functions and think about what it means to take a derivative of one. Very valuable for thinking about what it means to take a line integral along a path in a vector field (next tutorial).

Position vector valued functions

VIDEO 7:45 minutes
Using a position vector valued function to describe a curve or path

Derivative of a position vector valued function

VIDEO 14:45 minutes
Visualizing the derivative of a position vector valued function

Differential of a vector valued function

VIDEO 5:04 minutes
Understanding the differential of a vector valued function

Vector valued function derivative example

VIDEO 12:45 minutes
Concrete example of the derivative of a vector valued function to better understand what it means