Yes, yes we can!
Nah we can’t do that, right?
Submitted 1 year ago by genfood@feddit.de to science_memes@mander.xyz
https://i.imgur.com/ns6O8mm.png
Comments
photonic_sorcerer@lemmy.dbzer0.com 1 year ago
merc@sh.itjust.works 1 year ago
There’s no reason it shouldn’t work.
dy/dx is the same as (y1 - y2) / (x1 - x2) as the distance between the two points approaches zero. “dx” and “dy” aren’t very useful measurements on their own though.
Haus@kbin.social 1 year ago
You can't multiply both sides by dx in much the same way you can't differentiate a duck. That said, even pure mathematicians sort of think of it that way as a useful shorthand.
Feathercrown@lemmy.world 11 months ago
Can’t you just use infinitesimals and then actually multiply them? It never results in an invalid operation with the normal dx, only the one with the fancy d (forgive my lack of terminology knowledge)
Haus@kbin.social 11 months ago
In (d/dx)f(x), d/dx is a symbol that means the derivative of f with respect to x. It's not a division of two variables. But, the reason the symbol is useful is that you sort of can multiply the dx in some situations.
topinambour_rex@lemmy.world 1 year ago
Then you divide by x.
onion@feddit.de 1 year ago
If I remeber right you can do that, because there’s a longer and proper way that arrives at the same conclusion
Successful_Try543@feddit.de 1 year ago
Yes, and what is aimed for is separation of variables to find a solution of this differential equation. (The differential operator d should be printed as upright letter btw)
marcos@lemmy.world 1 year ago
Just like any kind of mathematics ever.
You can also do it with numbers, because there’s a longer and proper way that arrives on the same conclusion.
maeries@feddit.de 1 year ago
Exept when there isn’t