Khan Academy: Derivative of a Position Vector Valued Function

Video lesson defining the derivative of a position vector valued function by visualizing it and setting it up. [14:45]

Video lesson reviewing position vector valued functions and their derivatives. Explanation does not contain any specific examples. [5:04]

Video lesson explaining position vector-valued functions by visualizing and setting one up. [7:45]

Video showing how to take the partial derivatives of a generalized vector-valued function by taking the partial derivative of each part of the function. Video is meant as a build-up to the videos on surface integrals. [10:07]

Video lesson solving for the derivatives for a two specific vector-valued functions that describe the same path but have different velocities. [12:45]

Video continuing to show how to parameterize a torus using two parameters by writing the position vector valued functions. [16:32]

Video lesson reviewing position vector valued functions and their derivatives.

A more formal understanding of functions. This video introduces the term codomain and contrasts it with the term range. It also introduces the terminology scalar-valued function, real-valued function, and vector-valued function. [16:01]

This video has concrete example of the derivative of a vector valued function to better understand what it means.

Video showing how to take the partial derivatives of a generalized vector-valued function by taking the partial derivative of each part of the function.