This video introduces the meaning behind partial derivatives and their application to obtaining the gradient vector of a function. Numerous examples are shown as well as several plots using MATLAB.
This is part of a tutorial series on Vector Calculus that I made while an undergrad student that were recently unearthed. They are a bit old, so forgive me for the audio quality. I did clean it up a bit using Davinci Resolve Fairflight.
They were part of a website I had at the time that I always regretted taking down. I've since replaced it with a new one - markcwatson.dev - where I will put some of this old content.
https://markcwatson.dev
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Vector Calculus #5: Partial Derivatives and Gradient Vectors | NatokHD