They Use ∂ Differently in Math and Physics. Which is Better?

Mathematicians and physicists use partial derivatives differently. The word partial is sometimes used as opposed to both ordinary and total. In this video, we will explore what the difference is. This is a follow up to my last video: https://youtu.be/mICbKwwHziI which discussed the ambiguity of the partial derivative. This video was made to address why there is a big confusion to begin with. Chapters: 00:00 Intro 00:56 Convention M vs Convention P 05:19 Change of Variables (use M) 07:44 Differentials (use P) 10:27 Total Differential and Partial Differential (where P fails) 13:13 Calculus of Variations of Many Variables (Both M and P fail) 18:39 Outro Music🎵: Pocket's Lookin' Light - Gareth Coker · Riot Forge https://youtu.be/kifzZ0Txkfs Journey of Wind(Taillteann Theme) - Mabinogi Unknown Longing - Asher Fulero https://youtu.be/3DW9-IEkYUM Isolated - Kevin MacLeod https://youtu.be/cP1MDfNBfNA Terran Theme 05 - StarCraft II Have You Seen 'Em (The Devil With Two Coats) - Gareth Coker · Riot Forge https://youtu.be/kjZhPQsIRTw Chasin' It - Audionautix https://youtu.be/ZxtJatRcIc8 Investigate - BGM President https://youtu.be/wkXKGV9qJ6Y