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๐Ÿงต Serious question

Anonymous No. 16634078

Why is the Leibniz notation in derivatives so widespread? Especially in USA?
Lagrangian notation is superior in every way, if you have a single variable function you don't need to specify what variable you're taking the derivative of you just add a little ' on top of the function value and you're set. And when you have a multivariable function you can just (for example when taking derivative with respect to x of f(x,y)) write f_x(x,y). I have never understood why some people want to write so many fucking words when it can be done much more simply. Is it just to look more smart? I don't get it.

Anonymous No. 16634108

>>16634078
>t. I have never done multivariate calculus

Anonymous No. 16634126

>>16634108
Read the whole post.

Anonymous No. 16634137

>>16634126
Yeah, I did. Now try a vector field. Oh, wow, how convenient! I now have to write all of my vector field components as dot products with the unit vectors because f_x is already taken.

Anonymous No. 16634181

>>16634078
>I don't get it
Clearly you don't.
You are focused on encoding efficiency.
You probably complain about needing to write units in physics.
The d notation is to keep track of "units".

Anonymous No. 16634184

You can mess around with the dx and stuff and move it around and manipulate it algebraically, do substitutions, etc.
It actually means something it's not just a 'notation'.
As the other anon said get into multivariate or differential equations and you'll see.

Anonymous No. 16634195

>>16634078
nigga, subscripts and superscripts are overused already, you want to pile more uses on top?
no thank you.

Anonymous No. 16634198

>>16634181
>You probably complain about needing to write units in physics.
i'd push your eyes in with my thumbs if you said that to my face, autofellating theorist

Anonymous No. 16634201

>>16634198
oh oh, a retard monkey is raging!

Anonymous No. 16634204

>>16634198
>i'd push your eyes in with my thumbs if you said that to my face
why?

Anonymous No. 16634635

>>16634078
iirc implicit differentiation becomes painful if you forget that d/dx(y) = d/dy(y) dx/dy and re-deriving that from scratch is easier if you can manipulate the leibnitz notation

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Anonymous No. 16634789

>>16634078
>Lagrangian notation is superior in every way
How did Lagrange write the following?
(ds)^2 = (dx)^2 + (dy)^2 + (dz)^2

Anonymous No. 16634959

>>16634078
Have fun trying to integrate, retard.

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Anonymous No. 16635013

>>16634078
>*blocks your path*