# What is the meaning of dx?

TurtleCat

What is the meaning of dx?

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DeathDog

Differential x

eGremlin

How can I obtain the value for dx?

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Raving_Cute

it's infinitesimally small

Lunatick

it's just 1 lol

Lord_Tryzalot

d = 4, x = 24, dx = 424

AwesomeTucker

An infinitesimally small change in X

BunnyJinx

dx would the same as delta x. dy is the change in y of your llinear approximation, so it can be different than delta y, dy = f'(x)dx

PackManBrainlure

it's just a metaphor

VisualMaster

Unless this is the context of differential geometry, in which case it is more acceptable bad notation.

Fuzzy_Logic

Daily reminder that infinitesimals are heresy and $1-0.999...=0$.

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Booteefool

Fuck off, there is no meaning. It's not a mysterious infintesimal number or whatever, this is a lie "calculus" teachers tell to please the brainlets

farquit

w8t4u

Depend on the context, if you are talking about the $dx$ in $\int f(x) dx$, it is simply there to tell you the variable you are integrating.
If you are calculating of the differential of a function $f$ , let say a function of 2 variable, then $df(x,y)=\frac{\partial f}{\partial x}(x,y) dx + \frac{\partial f}{\partial y} (x,y) dy$, then the dx and dy are map defined as : $dx(h,k)=h]/math] and [math]dy(h,k)=k$
Is standard analysis, there is no such thing are infinitesimal change or whatever

DeathDog

A differential form. All the brainlets saying hurr durr infinitely small should kys themselves

SniperGod

it is a very small difference in x, so it is the same as delta x, but with the limit of xf -> xi
in the end, it does not have much numerical value, just algebrical and analytical, you can't calculate a value for it, trying to evaluating the limit gives you 0, and in many times it will be used as a variable

StonedTime

There's no red button on the real version of that meme, yours is wrong op.

DeathDog

Leibniz notation is cancer

TechHater

it's a hugely small difference

girlDog

SomethingNew

dx is a placeholder for the statement "with respect to delta x, as it gets closer to zero". there's no depth to this. it's like f(x) meaning "the function at the value x". it's all shorthand stuff because mathematicians are too weak willed to write long winded statements and concatenate everything.

likme

in differential geometry (or just advanced calculus) it's a differential form
in basic calculus it's just notation and/or some handwaving bullshit

Stark_Naked

engineering and science students in charge of pure mathematics

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likme

Something about epsilon and delta or something I dunno lolol just ignore all the dumb proof bits.