Derivatives

[hardy spindle]

$\frac{1}{x} \lim_{v\to0} \log_a(1+v)^{1/v}$

[tepid stirrup]

rojan

[hardy spindle]

that limit is just the log_a(e)

[ember citrus]

Meanwhile however the slope of the x axis is just the derivative of any constant but in this case y=0 so the slope would be the derivative of y which is 0

[hardy spindle]

so it would be convinient for us if a=e

cuz ln(e) = 1

[ember citrus]

Ye but uhm gl proving that?

Unless ur just gonna suppose it is equal

[hardy spindle]

so we got to the conclusion that\
$\frac{d}{dx}\ln(x) = \frac{1}{x}$

[tepid stirrup]

rojan

[ember citrus]

Yay

[hardy spindle]

im just computing the derivative of ln x

[ember citrus]

Gg

[dusk rampart]

So you applied the definition of the derivative on log(x) to prove that derivative of log(x) is 1/x

[ember citrus]

I'm gonna go to sleep

French man

[hardy spindle]

yeah?

[dusk rampart]

Okay Donqui!!

Take care of you

[ember citrus]

@dusk rampart Where in oui oui land are you?

[dusk rampart]

In freakin Earth!

On my bed

Gibbering about maths

And series expansion

[ember citrus]

Next to ur neighbors I assume?

[dusk rampart]

With Donqui and Rojan

[dusk rampart]

Well yes

[ember citrus]

I am diversity man

[dusk rampart]

My neighbors are by definition not VERY far from me

[dusk rampart]

Dangg

Marko plier there

[hardy spindle]

im actually at brazil

[ember citrus]

Obv

[ember citrus]

Damn that's nuts

Bazilian nuts

[ember citrus]

They're actually p gud for your thyroid

Just dont eat more than 1

Selenium levels are p high can be dangeroous

[dusk rampart]

1040 messages sent

[dusk rampart]

They are most present in fishes

A lot of selenium

[ember citrus]

Brazilian nuts have a decent amount

Enough to fill your RDA

[dusk rampart]

Dangg

😂

[ember citrus]

(Recommended daily amount)

[ember citrus]

Yeah and 2 of them are in this chat

Well were

I ate them

[dusk rampart]

YOOO whatt

Do you have school tomorrow

[ember citrus]

I have school everyday

3 hours on fridays thl

[ember citrus]

Can be up to 8 or 12

And the rest is 5 hours a day

[dusk rampart]

Legit don’t go to school if that’s just 3 hours lolll

[ember citrus]

Funny of you to say

[dusk rampart]

I mean I have to go to uni everyday

For like 2 hours

Sometimes

A 1 hour distance

[ember citrus]

My teachers have the full right to just kick me out of class

(Private classes)

[dusk rampart]

Ohhh private classes

[ember citrus]

No not private school

Private classes

Why?

School education is ass

I mean o wouldnt even be half as good in math or english

[dusk rampart]

You take complementary lectures?

[ember citrus]

I dont go to school

Only those classes

So it isnt exactly complementary

[dusk rampart]

Ohh wow

[ember citrus]

It's the main course

[ember citrus]

100% of he grade is just finals

So 0% attendance

So it doesnt matter

[dusk rampart]

But do you actually learn what you need for the finals with these private classes

[ember citrus]

Would I pay for them if I didnt?

Heck would I not go to school if I didnt?

[dusk rampart]

No..

You’re right

[ember citrus]

Would I have scored a 94% on my middle school finals if it didnt work?

It's the meta lol

[dusk rampart]

Well you have much better grades than me

[ember citrus]

I get to pick my own teachers

[dusk rampart]

You’re locked in

[ember citrus]

U dont

Nananabubu

[dusk rampart]

I mean I lock in but damn 94% success?

Wow

You are quite good

[ember citrus]

That was like 3 years ago

I NEED to get that score again this year

[dusk rampart]

Yeah and I have no doubt you keep having score like these

[ember citrus]

Last year I scored a whole ass 70

[dusk rampart]

Which is very good

[ember citrus]

And the year before it was another amazing 65

[ember citrus]

...no

[dusk rampart]

I had scored a 11/20 on my final

[ember citrus]

💀

[dusk rampart]

I had chemistry and maths

And physics

Chemistry plumbed my score

[ember citrus]

You do realize engineering only accepts 84% and above here right

[ember citrus]

And computer science at around 83%

[dusk rampart]

Well I had no idea

[ember citrus]

Last year it was higher at 87% and 85%

[dusk rampart]

They are tripping

[ember citrus]

Yeah but to be fair

The job market is stable as heck cuz of that

Engineers can get jobs easily bc not alot of people are scoring that high

[dusk rampart]

I suppose you’re right..

I should lock in very good from now on

[ember citrus]

Yeah ur competing with alot of people

And so am I lol

[dusk rampart]

After the Christmas holidays, there will be my finals

I will lock in

For the 2 upcoming weeks

[ember citrus]

We both have to compete just at different stages

[ember citrus]

Dawg ur cooked

[dusk rampart]

Nah don’t worry I have my ways

I actually make no paper sheets

Just doing exercices

The exercices they gave us in class

[dusk rampart]

Do you know what a page of mechanics looks like ?

Do you want to see

[ember citrus]

I wanna see

[dusk rampart]

Okay

[ember citrus]

Where are numbers

[dusk rampart]

There are no numbers twin 😭

[ember citrus]

Ykw fuck numbers

[grizzled jewel]

you in college astro guy ?

[ember citrus]

How does this qualify as math

[dusk rampart]

Oh hi!

Yes Apathy

[grizzled jewel]

what country ?

[dusk rampart]

France

[ember citrus]

Oui oui baguette

[grizzled jewel]

what are you studying ?

[dusk rampart]

Mechanics

And some coding in python aside

[grizzled jewel]

that stuff lowkey looks like horror hoping i dont encounter that later on

[ember citrus]

Any math major has something similar to hell on earth like this

[dusk rampart]

Matrix of inertia 💀

[grizzled jewel]

oh thats not to bad

[ember citrus]

According to my brother some mfs be calculating different values of 0

[dusk rampart]

With a twist

[grizzled jewel]

i assume its just getting the inertia of multiple parts of an object and putting it in a matrix ?

[dusk rampart]

Well yes

[grizzled jewel]

whats the twist ?

[dusk rampart]

But you have to couple this matrix with other things

[dusk rampart]

The fact that you only use it for a part of what you really want to calculate

[dusk rampart]

Loll

Don’t worry apathy you should be fine

[grizzled jewel]

I dont understand ? What do you mean like you only want a specific part of the solution ?

[ember citrus]

No

This is a part of the bigger fish

Is what he's saying

[dusk rampart]

Yes exactly

[grizzled jewel]

ahh yes of course

[dusk rampart]

That bigger fish= matrix of inertia times….. +……. Divided by…..

[ember citrus]

In other words: 17 page long equation

[grizzled jewel]

oh thats not to bad

just a couple of extra steps

[dusk rampart]

You did mechanics right?

[grizzled jewel]

if anything the worse part seems like having to get the inertia multiple times for different parts of the body

nope

[dusk rampart]

Did you do newtons laws

[grizzled jewel]

Yes i have done newtons law

[dusk rampart]

For a point right

[grizzled jewel]

but like the basics

[dusk rampart]

A point of a certain mass

[grizzled jewel]

yes

[dusk rampart]

Well now…

It’s the whole damn solid

[grizzled jewel]

tbf that doesnt seem to bad more tedious then anything

[ember citrus]

Integrals

[dusk rampart]

OHH YEAH

[grizzled jewel]

can you link me the book so i can turn it to english and better understand

[dusk rampart]

It’s just that you have different points in one singular system. A certain center of mass that you have to calculate

[ember citrus]

What grade u in?

[grizzled jewel]

im still in the beginning of college so I might encounter that in a semester or even better hopefully not

[hardy spindle]

what course do you study?

[dusk rampart]

Sure

[ember citrus]

Blue

[dusk rampart]

Mechanics of rigid solids

For now

[hardy spindle]

damn

[dusk rampart]

Next semester I will learn fluid dynamics

[ember citrus]

When aerodynamics?

[dusk rampart]

YES

Awrodynamics

Is part of fluid mechanics

[hardy spindle]

Do you plan in working with computer science?

[ember citrus]

Cow has good drag coefficient compared to jeeps

[grizzled jewel]

i have heard horror stories of dynamics T-T good luck with that

[dusk rampart]

Well apathy

[hardy spindle]

those things are important for cgi and real-time rendering ( games)

[ember citrus]

And scientific simulations

[hardy spindle]

yup

[dusk rampart]

No

Do I have to yes

Do I have a choice no

[ember citrus]

Bro hates computer science

[hardy spindle]

like, i dont think there is any well optimized real time 3d flames simulation

[ember citrus]

I'm considering mechatronics

[dusk rampart]

I don’t like it..

[dusk rampart]

NICEE

[ember citrus]

Which is mechanics but with electricitu

[grizzled jewel]

Mechatronics in US ?

[ember citrus]

And coding

[ember citrus]

Egypt

I'll reinvent the tools aliens used to make the pyramids

[hardy spindle]

When i get to college ill do computer science for sure

[ember citrus]

It's defo on my list

But If i do computer science I'm doing alot of mechanics courses for fun in the side

[dusk rampart]

Well even though I don’t like it, I can only suggest you to start learning coding

Because it will be useful

I feel

[hardy spindle]

I already do

[ember citrus]

Or.im gonna force @dusk rampart to explain the material

[dusk rampart]

Ahahah you can just compute the mechanics I give you

[ember citrus]

My brother is a professor in computer science specifically cybersecurity

[hardy spindle]

I do a technical course integrated to high school

[dusk rampart]

Such a partnership

[ember citrus]

He said they arent so useful

[dusk rampart]

Danggg

[hardy spindle]

about informatics in general

[ember citrus]

Learning languages

It's more about problem solving skills than actually writing cose

Code

[ember citrus]

and ofc u need a problem to solve

Where'll you get the problem?

Idk it appears

Out of nowhere

And solves itself

Why?

Idk

You prolly missed a space or sumthn

[hardy spindle]

true

[dusk rampart]

Like you said it is a language, and it is not so easy to start learning a new language when we’re not used to it first hand

[ember citrus]

Which is what college is for

[dusk rampart]

I had hoped to stay away from coding but hey

I can’t escape it

[ember citrus]

Imo it's more useful to grow the problem solving skills and leave the code learning for when it's needed

[hardy spindle]

Guys i really think we should close this topic, the title is Derivatives but I bet you not even half of the messages are about that

[ember citrus]

Assimilate my child

[ember citrus]

90% are integrals lol

@dusk rampart add me

[hardy spindle]

1,2k+ messages btw

[ember citrus]

Oh he alr did

[ember citrus]

It was a success

[dusk rampart]

We are already lol

[hardy spindle]

,close

[ember citrus]

I learned that mechanics is cool and scary

,close

[dusk rampart]

Loll

[hardy spindle]

umm

.close

[dusk rampart]

.close

+close

[ember citrus]

;close

[dusk rampart]

-close

[hardy spindle]

aye

[dusk rampart]

=close

[ember citrus]

_close

[dusk rampart]

dclose/dx

[hardy spindle]

can it actually close?

[ember citrus]

I dont think so

[dusk rampart]

(Close)^x^x^x^x..

[ember citrus]

,solved

Man idk

[dusk rampart]

Even the post went to sleep

[ember citrus]

Ln(close) × y = ln(y)

[hardy spindle]

cant you manually tag it as solved?

[dusk rampart]

The bot had enough and just left us there

[dusk rampart]

Exactly

We be surpassing the 1+1=2 post

Soon enough

[hardy spindle]

$\int_{close}^{close} justclose$

[tepid stirrup]

rojan

[dusk rampart]

Lollll

Grim reaper is typing

[vale ether]

It's called double differentiation

[dusk rampart]

A new challenger

[hardy spindle]

for a moment the word close lost its sense

[vale ether]

Bruh

[dusk rampart]

Damnnn you went veryyy far above

[ember citrus]

Very.

What the heck is the 1+1=2 post

[hardy spindle]

weve been texting here for like 4 hours straight and bro just answers the first question casually

[vale ether]

Was i wrong? ( even I'm new to derivatives.. :])

[dusk rampart]

I see it everyday it’s basically some guy who asked: why is 1+1=2 and it is chaos

[hardy spindle]

We reached 1,3k messages btw

[ember citrus]

Ping me there

[dusk rampart]

Well double differentiation can sometimes imply that you first hand differentiate with respect to one variable then differentiate with respect to the other

When talking about double variable functions

[ember citrus]

@dusk rampart

[dusk rampart]

Okay

[ember citrus]

I go.schleep

A mimir

Snork mimimimimimi

[vale ether]

But for example we take maxima and minima don't we differentiate the same variable wrt the same variable twice?

I considered that case to answer it

[ember citrus]

Maxima

[dusk rampart]

Nvm the 1+1=2 post is in another server

[ember citrus]

Minima?

[dusk rampart]

Oh you considered a one variable f(x) function

[ember citrus]

Ykw ima js go to sleep man I cant do this

[dusk rampart]

Then yes you could say it is a double differentiation

If you differentiate two times

[vale ether]

Like this one
$d²y/dx²$

[tepid stirrup]

/ Grim • reaper / 💤🐢

[dusk rampart]

Yes

Second derivative

You differentiate two times

[vale ether]

So like I am correct but in a different context right?

[dusk rampart]

Yeah

If you firsthand precise that you’re referring to one variable functions

Or else it could be taken differently

Like triple integrals

[vale ether]

Ohhh I get it noww

[dusk rampart]

When you say triple integrals we can either mean you integrate a function with respect to x 3 times in a row

Or you can mean that you first integrate with respect to x then integrate with respect to y and then integrate with respect to z

If you have a triple variable function

[vale ether]

Anyways I have got a lot to learn lol (just in 10th grade 💀)

Ty @dusk rampart

[dusk rampart]

Take care man

[dusk rampart]

You’re welcome!

[vale ether]

Ima roll out now gotta go to school

[dusk rampart]

@ember citrus Take care and good night

Good night everyone

[vale ether]

Cyaa :)

[dusk rampart]

And good day at school grim

[vale ether]

Gn

[vale ether]

Ty :)

[half thistle]

FWIW it's a متعددة الحدود in Arabic

...oh there are a few terms for this, damn

[spiral magnet]

how do factorials connect to integration

[vale ether]

Ehh it does!? Damn

[ember citrus]

Yh thx I pieced it together after he showed an example tho!

[dusk rampart]

We broke the record

[ember citrus]

Dope

So my first ever help thread broke a record

[dusk rampart]

I enjoyed the convo we had though

[ember citrus]

Yeah lol

I hate voltameters.

I hate chemistry 🙏

[dusk rampart]

Oh the measuring instrument that allows you to measure the voltage between two points

[dusk rampart]

ME TOO

[ember citrus]

It's not difficult the laws r js annoying to memorize

[dusk rampart]

HIGH FIVE 🖐️

[ember citrus]

🖐️

Why is oui oui man in wolvesville

Do you say aouiiii instead of awooo

[dusk rampart]

Well the most annoying formulas to memorize is the resistors ones

We say OUIIIIIIIII

[ember citrus]

Rm and it's not even the maximum possible resistance 💔

Then wtf does the m stand for

My ass?

[dusk rampart]

Loll

I have no idea

So you do learn about electronics too

[ember citrus]

Well it's in my curriculum to study galvanometer ometer ameter voltameter and multimeter

[dusk rampart]

Why don’t they just give you the multimeter 💀

[ember citrus]

Along with sum basic circuit shenanigans except yall solve it with delta star I solve it by creating 3 paths and making 3 to 4 equations

[ember citrus]

Because fuck you that's why

[dusk rampart]

Multimeter is basically all in one

[ember citrus]

(If I do it with delta star I'm getting point reduced for not doing it like they do it in the book)