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/sci/ - Science & Math


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9609975 No.9609975 [Reply] [Original]

What is the meaning of dx?

>> No.9609982

>>9609975
Differential x

>> No.9609985
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9609985

>>9609982
How can I obtain the value for dx?

>> No.9610744

>>9609985
it's infinitesimally small

>> No.9610746

>>9609985
it's just 1 lol

>> No.9610751

>>9609985
d = 4, x = 24, dx = 424

>> No.9610815

>>9609975
An infinitesimally small change in X

>> No.9610820

>>9609985
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

>> No.9610879

it's just a metaphor

>> No.9610901

>>9609975
Idiots misunderstanding bad notation.
Unless this is the context of differential geometry, in which case it is more acceptable bad notation.

>> No.9610915
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9610915

>>9609975
Daily reminder that infinitesimals are heresy and [math]1-0.999...=0[/math].

>> No.9610933

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

>> No.9610944
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9610944

>>9609975

>> No.9610952

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

>> No.9610994

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

>> No.9612362

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

>> No.9612647

>>9609975
There's no red button on the real version of that meme, yours is wrong op.

>> No.9612650

Leibniz notation is cancer

>> No.9612652

>>9609975
it's a hugely small difference

>> No.9612690

>>9609975
I forgot about this meme

>> No.9612696

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.

>> No.9612799

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

>> No.9614422
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9614422

>>9610744
>>9610815
>>9610820
>>9612362
>>9612652
>engineering and science students in charge of pure mathematics

>> No.9614455

>>9609985
Something about epsilon and delta or something I dunno lolol just ignore all the dumb proof bits.

>> No.9614618 [DELETED] 
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9614618

>>9610744
>>9610933
>>9610944
>>9612799
>>9614422
>>9614455