Visualizing Derivatives on Multivariable Surface Plots of Average Rates of Change @MathVisualProofs

Uploaded November 2024 | Updated September 2026, 2 weeks ago

In this video, we investigate the derivative function as the set of discontinuities on the multivariable surface plot of the multivariable function that gives the average rate of change between two points on a single-variable function.

Along the way, we investigate the definition of the derivative of a function at a point and see the key idea behind differential calculus.

This video arose from one of my classes after a conversations with Joe Eichholz - my thanks to Joe for his time.

If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!

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Visualizing Derivatives on Multivariable Surface Plots of Average Rates of Change

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