this post was submitted on 01 Jul 2025
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Science Memes

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[–] olafurp@lemmy.world 0 points 12 hours ago (1 children)

The thing is that it's legit a fraction and d/dx actually explains what's going on under the hood. People interact with it as an operator because it's mostly looking up common derivatives and using the properties.

Take for example ∫f(x) dx to mean "the sum (∫) of supersmall sections of x (dx) multiplied by the value of x at that point ( f(x) ). This is why there's dx at the end of all integrals.

The same way you can say that the slope at x is tiny f(x) divided by tiny x or d*f(x) / dx or more traditionally (d/dx) * f(x).

[–] kogasa@programming.dev 0 points 11 hours ago

The other thing is that it's legit not a fraction.