Khan Academy: Calculus: Vector Valued Function Derivative Example

Sal continues looking at function inverses in this video by showing two examples. In each example, he finds the inverse and shows the graph of both functions. His examples are with linear functions, but his first example shows a function...

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

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

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

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

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]

Video introducing surface integrals by building on the partial derivatives of vector-valued functions from the previous video and showing how to visualize a surface integral. Surface area is found by taking the magnitude of the cross...

Video lesson reviewing position vector valued functions and their derivatives.

Video lesson defining the derivative of a position vector valued function by visualizing it and setting it up.