Adv Diff Calc 2: Note when using four or more variables

Advanced Differential Calculus - Note when using 4 or more variables
Quick clarification on variables. When only three variables x, y, z are involved, the notation for partial derivatives is self-explanatory: x and y are independent, and we differentiate holding one of them fixed.

With four or more variables, we need to be careful in specifying which are the independent variables. u = h(x, y, v) and u = f(x, y); v = g(x, y) mean two different things.

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Category:

Science & Technology

Tags:

• differential
• calculus
• advanced
• partial
• derivatives
• limit
• multivariable
• differentiation

[browno26]

lol 'partial derivatives.. over here'

[mudoyal]

I hope to, one day, understand this^^^^^^^^^

Yours truly,

Sophmore of Engineering.

[RomanRomp]

good video but watch out right at the end! Are you referring to u or y? Because "y" is written but "u" is said...?

[brilliantdiamonds]

nice vid, i really like this channel; there's a lot of the things i'm interested in.

[jameswsperman]

That was intense! Thanks

[DesiScientist]

focused!.......excellent job

[wowisdownQQ]

nice work

[BernardoDW]

wow... ! very interesting indd