🧵 Untitled Thread
Anonymous at Wed, 13 Mar 2024 19:36:33 UTC No. 16072656
>the derivative of x^2 is 2x
says who? everything that I studied in maths before this point made sense, if you add 2 apples to 3 apples you get 5 apples makes sense, but suddenly they give you derivation rules and tell you to memorize them when they make no fucking sense. they say that's how differentials vary, but if differentials are so small aren't they always about 0?
this point is when maths stops being about useful stuff to calculate things in real life and turns into esotheric madeup nonsense that isn't useful at all
Anonymous at Wed, 13 Mar 2024 19:38:30 UTC No. 16072664
>getting filtered by calc 1
Sad
Anonymous at Wed, 13 Mar 2024 19:43:06 UTC No. 16072680
>>16072656
>maths stops being about useful stuff to calculate things in real life and turns into esotheric madeup nonsense that isn't useful at all
it should be legal to turn off someone's water for posts like this.
Anonymous at Wed, 13 Mar 2024 19:45:13 UTC No. 16072689
>>16072656
>says who?
The definition of the derivative.
Anonymous at Wed, 13 Mar 2024 19:56:04 UTC No. 16072709
>>16072689
who defined it this way? was he stupid?
Anonymous at Wed, 13 Mar 2024 20:02:24 UTC No. 16072727
>>16072656
It's kinda surprising how schools manage to make math as anything but esoteric.
Euler's trigonometry formula is literally voodoo magic yet it had concrete world applications.
Anonymous at Wed, 13 Mar 2024 20:24:15 UTC No. 16072791
>>16072680
Lost.
>>16072656
Why is his mom a fridge?
🗑️ Anonymous at Wed, 13 Mar 2024 20:58:12 UTC No. 16072853
math]
f(x)=x^2 \\
\displaystyle
\lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}
= \lim_{h \to 0} \dfrac{(x+h)^2 -x^2}{h} \\
\displaystyle
= \lim_{h \to 0} \dfrac{x^2+2 xh+h^2 -x^2}{h}
= \lim_{h \to 0} ~ 2x+h = 2x
[/math]
Anonymous at Wed, 13 Mar 2024 20:59:14 UTC No. 16072856
[math]
f(x)=x^2 \\
\displaystyle
\lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}
= \lim_{h \to 0} \dfrac{(x+h)^2 -x^2}{h} \\
\displaystyle
= \lim_{h \to 0} \dfrac{x^2+2 xh+h^2 -x^2}{h}
= \lim_{h \to 0} ~ 2x+h = 2x
[/math]
Anonymous at Wed, 13 Mar 2024 21:08:46 UTC No. 16072874
>>16072856
look i know im an idiot, i dont care. im in calc 1 rn, and i dont get how f(x+h) = (x+h)^2. does f count as x or something? i know, sorry im an idiot. please be slow with me.
Anonymous at Wed, 13 Mar 2024 21:09:16 UTC No. 16072876
>>16072656
On the chance that this isn't a bait post, it sounds as if you may be in some, like, "math for economics," "math for the social sciences" class or whatever that just rattles off calculus factoids without worrying too much about fundamental understanding.
Anonymous at Wed, 13 Mar 2024 21:15:40 UTC No. 16072884
>>16072709
Have you not learned the first principle way using limits? Just expand x^2 around h. Then derivative is just the ratio of that expansion to h for the limit h -> 0. If you look at it geometrically, that ratio is essentially the slope (rise/run) of tangent to the curve x^2 at x=h. So derivative is just that, slope of tangent of a curve.
Bad news is you already got filtered by this trivial shit.
Anonymous at Wed, 13 Mar 2024 21:20:54 UTC No. 16072889
Anonymous at Wed, 13 Mar 2024 21:24:24 UTC No. 16072895
>>16072889
manifold bros just keep winning
Anonymous at Wed, 13 Mar 2024 21:30:51 UTC No. 16072906
>>16072656
[math]\frac{d}{dx}x^2 = \lim_{h\rightarrow 0}\frac{(x+h)^2 - x^2}{h} = \lim_{h\rightarrow 0}\frac{x^2 + 2xh + h^2 - x^2}{h} = \lim_{h\rightarrow 0}\frac{2xh + h^2}{h} = \lim_{h\rightarrow 0}2x +h = 2x[/math]
Thread Closed
Anonymous at Wed, 13 Mar 2024 21:42:25 UTC No. 16072921
>>16072656
LMAO, filtered by derivatives.
Anonymous at Wed, 13 Mar 2024 21:50:03 UTC No. 16072933
>>16072656
>You're supposed to memorize
No nigger you are supposed to understand the semantic content not regurgitate the symbols you saw on the screen
>Math isn't useful
You don't know math so you can't tell. But your intelligence is such that if you did, it still wouldn't be useful.
Anonymous at Wed, 13 Mar 2024 21:57:46 UTC No. 16072944
>>16072656
Practically all of AI today is built on taking derivatives of stuff.
Anonymous at Wed, 13 Mar 2024 22:04:22 UTC No. 16072952
>>16072791
She just is a fridge
Anonymous at Wed, 13 Mar 2024 22:11:41 UTC No. 16072955
>>16072874
If f(x) = x^2 then f(x+h) = (x+h)^2 because the function squares the input and the input here is x+h. Filtered by functions man, couldn't be me.
Anonymous at Wed, 13 Mar 2024 22:18:42 UTC No. 16072962
>>16072656
Derivitive is rate of growth. It's saying for something that follows an exponential curve like bacteria multiplying that the rate of growth is twice the time elapsed.
Anonymous at Wed, 13 Mar 2024 22:23:51 UTC No. 16072968
>>16072656
>they give you derivation rules and tell you to memorize them when they make no fucking sense
Get better teachers or a better book. Memorizing derivation rules without understanding them is worse than useless.
Now, integrals are a different beast. That's what filtered me out of math.
Anonymous at Wed, 13 Mar 2024 22:29:33 UTC No. 16072979
>>16072856
>h->0
stopped reading there
Anonymous at Thu, 14 Mar 2024 06:49:22 UTC No. 16073619
>>16072874
>old enough to post on 4chan
>struggling with basic calculus
NA education kek. In europe one does real analysis and proof-based linear algebra at age 17. Literally had my bachelors degree at age 21
Anonymous at Thu, 14 Mar 2024 09:18:03 UTC No. 16073739
>>16072656
son of a fridge