Red pill me on calculus?

[Anonymous No.11536499]

How to fucking understand this? Why i am so dumb?

[Anonymous No.11536526]

That picture isn't calculus, it's quantum mechanics

[Anonymous No.11536532]

>>11536499
Calculus is simple at first, i recommend thomas calculus early transcendentals

[Anonymous No.11536533]

open your calculus book and start reading it. if you get to something you don't understand, read it over and over (and the parts before it too) until it makes sense.
also definitely don't try learning it from a rigorous analysis book. just use a high school/college freshman book that has colored pictures instead of proofs.
this sounds condescending but im just trying to help

[Anonymous No.11536626]

>>11536499
I don't understand how you can't spend a couple days reading a book. Just find a topic, and read it over and over again. Why is that so fucking hard? Why can't you just fucking teach yourself?

[Anonymous No.11536636]

>>11536499
https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

[Anonymous No.11536649]

>>11536499
If you're having trouble with calculus, chances are you don't know the algebra well enough. Maybe your middle school / high school sucked, maybe you were just lazy.

Whatever the case, make sure you know some basic trig / algebra / functions beforehand. See the introduction of any generic calculus textbook (like Stewart)-- they usually have 'diagnostic tests' before the first chapter. If you don't know this stuff well enough, you're going to get questions wrong and know know why.

[Anonymous No.11536660]

>>11536636
based

[Anonymous No.11536697]

>>11536649
this. I struggled with calculus for a while, eventually I realized it was because my algebra foundation was weak. wasn't until I got to diff eq that I filled in the missing pieces with pre-calc problem sets. never had problems with the conceptually applying calculus, just the algebraic details

[Anonymous No.11536915]

>>11536499
Oh, fuck off. You're not dumb. You got it. Start all over if you need to.

[Anonymous No.11537406]

>>11536499

>>11536636
There is your answer OP. If you watch all these, you'll absolutely understand calculus.

[Anonymous No.11537412]

>>11536499
lim(h->0) (f(x+h)-f(x))/h
rise over run
what is so difficult?

[Anonymous No.11537432]

>>11536526
>2
there is multiple calculus in th picture dumbdumb

[Anonymous No.11538245]

>>11536499
You're not dumb, there's a complete correlation between aptitude at math and how long one is willing to work at something. That's why Asians are better at math, because they work longer.

[Anonymous No.11538368]

>>11538245
Thats because their squinty eyes limit their field of vision and block out distractions. Ive developed glasses that do the same thing. When i wear them i can say im smart as an asiatic.

[Anonymous No.11539839]

>>11536915
>>11538245
based good anons

[Anonymous No.11539855]

>>11536499
The absolute easiest way to understand calculus is to, no joke, make a khan academy account and do the AP Calculus AB stuff. Its the simplest, most focused way Im aware of to learn calculus. Im sure you will miss some autistic component but you will gain at the very very least an awareness of what calculus is. Autists in this thread would shit on it but it would blow Newtons fucking mind so wtf do they know.

[Anonymous No.11540370]

>>11536499
calculus is easier than what you usually learn before it

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[Anonymous No.11541076]

Gotta say most teaching just makes it harder. Calculus is actually in some ways similar to how if you didn't know an answer you could figure it out by brute force. It may be formalized now but it's like if someone said I figured out how to find the number of bricks in a house and then just stood there and counted each one. Idc if that doesn't help fuck you ahahaha

[Anonymous No.11541174]

>redpill me on calculus
The behavior of general functions is complicated, but the one of linear functions is simple. So if you want to investigate the behavior of a function f at a point x, you make the problem easier by looking for the best linear approximation of f at x. The best linear approximation is exactly the derivative. It gives you a lot of information about how the function behaves around the point, even though the information is local.
The connection between local and global is then given by the fundamental theorem of calculus - it says that you can stitch together the local information of the derivatives to reconstruct the actual function and exactly how to do that.

[Anonymous No.11541176]

In the case of real functions the viewpoint of the derivative as the best linear approximation can be overlooked just because the definition is so simple, but you can't avoid this viewpoint when you try to define derivatives in functions f: R^n -> R for n higher than 1. Technically speaking, in the case R->R the value of the derivative is the slope of the best linear approximation, not the linear map itself, but it could have just as well been defined as a linear map L:R->R such that
lim of (f(x+h)-f(x) - L(h))/h = 0
h->0
I'll leave it as an exercise to see that these two definitions are actually equivalent :)
The fundamental theorem of calculus is also remarkable in the following sense. When I was a child, I tried to think about what exactly the speed means. Sure you can take the ratio of distance with time between two distinct times, but that would be the average speed. What is the speed right now? Turns out the intuitive notion as taking the limit of the average speed as the future time point tends to the present time works out well. And then you might wonder, if you know the average time in the time interval, you know how far you traveled (by multiplying by the time), could you do a similar thing with instantaneous speeds? There are infinitely many speeds, because there are infinitely many time points at which you could have measured the speed, so what do you add and multiply? And what the FTC says is exactly that the intuitive thing to do: to consider instantaneous speeds as average speeds for small time intervals and calculating the distance in that way, while making the intervals smaller and smaller, the limit is remarkably the actual distance that you traveled! That seals the deal: derivatives are the right thing to look at and calculus is based!

[Anonymous No.11541202]

>>11536533
>this sounds condescending
How the actual fuck does that sound condescending?

[Anonymous No.11541227]

>>11537432
The plural of calculus is calculi.

[Anonymous No.11541229]

>>11541202
Please be patient. Many people on this board have difficulty understanding emotions and social interaction.

[Anonymous No.11541248]

>>11541227
I am sorry kind anon please FORGIVE ME, I am will correct myself other post: there are multiple CALCULI in this picture, so first anon reply is WRONG to say "that picture is NOT calculus"!

[Anonymous No.11541249]

>>11541229
one time I was walking on the sidewalk and a girl told me that she likes my hair, I said thank you and kept walking, do I have the 'tism?

[Anonymous No.11541250]

>>11538368
What works for me is lstening to melodic death metal while I study. Check out Mechina. You won't disappoint