Who /failingcalculus/ here
Derivatives some wack shit man
I've TA'ed calculus and a bunch of people failed if that counts. Derivatives are some wack shit, but I think what holds most people back is the algebra rather than the concepts and the formulas.
>>7653079
This to be honest family, more so when integrating, algebraing the fuck out of functions to fit the formulas is the hard part, mostly because relies on mathematical intuition and algebraic experience more than actual knowledge of what your Calculus book says.
>>7653072
>Derivatives some wack shit man
You better get the fuck out of here with that weak shit.
Deriviatives are literally the easiest part of calculus. The operators take two seconds to complete, and the chain rule is only mildly complex.
Calculus is the shit son. You better read the Principia and realize how much of an ingrate you are.
Currently have a D in calc 2, if you think derivatives are hard wait until you get to integrating LMAO
>>7653299
>read the principia
kek. stupid cunt
>>7653079
>Derivatives are some wack shit
>are some wack shit
>some wack shit
>wack shit
How dare you call yourself a TA and insult my nigga newton. Derivatives ARE THE SHIT.
You can figure out if a sequence is decreasing or increasing based on a derivative. You can find a term that minimizes or maximizes a function; E.G. Variance.
You can use it to better understand a graph and know how to properly draw it.
Derivatives are used in part with integration and together form the fundamental theory of Calculus.
Get this weak ignorant shit out of my face and off this board.
Please Father Newton, do not be too harsh, for they do not know what sin they have committed.
>>7653311
Newton's "Mathematical Principles of Natural Philosophy" or the Principia is the shit.
Newton "successfully removes God from the natural world." He explains the world around him and how the universe worked according to natural laws and science. "There's no need for God in Newton's Universe." He is what fuels the enlightenment and indirectly creates deism.
From this followed the sentiment that world can be defined and that constructs such as math, science, law, and government obeyed certain rules/laws.
>>7653310
>being this dense
Nigga integration and derivatives are easy as shit. You just follow the rules/methods that apply to the problem and then use college algebra to simplify.
Is this /b/ or /sci/? Shieeeeet.
I still don't understand how derivatives work.
Like, what the fuck does 3x^2 have to do with x^3
>>7653299
this desu senpai.
I just had to drop my calc 2 course but that's because I didn't manage my time well, don't get mad at the math man. The math is fascinating and useful.
>>7653355
d(x^a)/dx
= d(x * x^(a-1) / dx
= x^(a-1) + x * d(x^(a-1))/dx
= x^(a-1) + x * d(x * x^(a-2))/dx
= x^(a-1) + x * x^(a-2) + x * d(x * x^(a-3))/dx
...
= a*x^(a-1)
>>7653338
Who the fuck scans their test to put on /sci/? That's a special kind of autism. Nevermind the fact that your signature and professor are on there.
>>7653355
3x^2 is the rate at which the function x^3 is changing. Meaning the slope at any point a on the graph of x^3 is equal to 3(a)^2.
d(f(x)g(x))/dx = lim(h->0) f(x+h)g(x+h) - f(x)g(x) /h = lim(h->0) (f(x+h) - f(x))g(x+h) + f(x)g(x+h) - f(x)g(x+h) + f(x)(g(x+h) - g(x)) /h
= g(x) lim(h->0) (f(x+h) - f(x))/h + f(x) lim(h->0) (g(x+h) - g(x))/h
= f'(x)g(x) + f(x)g'(x)
>>7653338
Are you kidding me? That has to be the most basic trig sub question. That would be like problem #3 in problem sets. My tests were problems equivalent to the middle-end of problem sets difficulty
>>7653338
>On my honor
fucking kek
I finished Calc forever last year. YES BOYS, now just linear algebra and topology
>>7653338
Did you had to use trig substitution for that problem?
U substitution also works.
>>7653326
Differentiation is nice. But any unbounded linear operator is wack to me. The fact you have to restrict your attention to Sobolev spaces necessitates wack.
You all make me very sad.
>>7653338
>he has to write out in words what steps he's doing along side his work
either you (if this is not required) or your teacher (if this is required) is a total autist
Failing calculus II right now, already scheduled myself for it again next semester. There's so much stuff that's memorization which is awful. There's like 12 damn convergence/divergence tests and shit. I
>>7653338
JUST U SUB YOU FUCKING PLEB
The only classes I've failed in my life have been history and English. I've gotten an Ain Calc 1-3 and physics 1-3. Anyone else here like me and not totally utterly retarded when it comes to math/science but lazy as shit when it comes to anything else? Judging from this thread I feel like I'm smarter than the average sci lurker but that can't be right.
>>7653679
I did the same shit. If you manage to graduate and go to grad school they'll stop making you work on things outside your field. They'll expect you to teach though, so you aren't getting something for nothing.
All of you who are struggling with derivatives would fail high school in Finland.
Pic related. Basic tasks from the 10th of 15 courses in math.
>>7653684
Meant integrals. Also sorry for the flipped image. Im on my phone.
>>7653338
>continued on back of paк
So it took you a whole page to write out "4(√2/2 - 0) = 2√2"?
>>7653692
what grade/year is this taught in tho?
kinda' important
>Struggling with basic calculus
For fuck's sake /sci/, I'm a fucking retard but even I find that calculus is fucking baby math. Get a fucking grip.
>>7653697
Looking back at it, that's completely wrong. I'm embarrassed.
>>7653072
I failed a few classes because I was being a lazy shit.
The trick is not being a lazy shit.
>>7653447
>I go to a public university
>>7653703
Well the school system is quite different but I was 18 when I was doing this course. (3rd year)
>>7653712
>he pays out the ass for his education
>he doesn't live in a non pleb state with decent public universities
Feels good to be a Texan, it's so cheap :^)
>>7653072
Why does everyone consider Calc 2 so hard? Is it the calc or the trig/algebra that makes it hard?
taking it next semester, my anus is not ready.
>>7653775
It's the trig and algebra mang. Review if you need to.
>>7653775
taking it right now
its not hard if you study
the most difficult part in my opinion is that towards the end of the semester we have this huge tool kit for solving integrals consisting of various types of functions and sometimes its hard figuring out which tools to use
some people in my section are having trouble with series and all the tests but i think series are the easiest shit ever, so i wouldnt worry about them
>>7653775
Taking Calc II right now, once you finish Calc I start reviewing the essential trig identities.
Also, as soon as you can start memorizing the inverse trigonometric integrals and derivatives and also the hyperbolic ones. Everything else is so fucking easy.
>calculus 2
>hard
...did you guys not take BC in highschool?
>>7653833
this
>>7653684
baby's first integrals
>>7653338
>mfw people like you brag about integrating something so easy
>>7653697
nigga cos(0) sure as hell isnt 0
>>7653833
Calc II could be vector calculus which is not available in most high schools.
>>7654336
which is still piss easy
>>7653355
fckn derivatives, how do they werk?
>>7653816
Hyperbolic trig functions are a bitch, but there's not that much to memorize about them.
![MSP48222104g5c32he964bc0000651639d00he4afib[1].gif](https://i.imgur.com/izGjKEa.gif "MSP48222104g5c32he964bc0000651639d00he4afib[1].gif")
http://www.wolframalpha.com/input/?i=%284x+%2B+5%29^%281%2F4%29
Can someone explain why the indefinite integral is 1/5*(4x+5)^(5/4)+c and not 4/5*(4x+5)^(5/4)+c?
>>7653090
>mathematical intuition and algebraic experience
Take a college trig course.
Seriously, it's a good logic bootcamp for fuckers like you.
>>7654517
Let u = (4x+5)
du/dx = 4
du = 4dx
du/4 = dx
Do the integral and you get 1/4[4/5(4x+5)^(5/4) + C
You see how the 4 cancels out?
>>7653072
Derivatives were hella fun to do
>>7653072
They aren't difficult. Go repeat algebra then come back.
>>7653682
>They'll expect you to teach though
can't be too hard. All my TAs are even more retarded than these people on /sci/
>>7653833
High school calculus (and subsequently the AP exams) are extremely watered down versions of real calculus.
There's a reason a lot of colleges don't accept that shit if you want to be a math major.
>>7653299
Is this considered "calculus" in the USA? I got this in high school....
>>7653090
would you trust a heart surgeon who read all the med books possible in the world yet has not operated once to perform on your loved one?
probably not
>>7655095
calculus is a fucking study, not a class
>>7653072
I got a B in analysis, does that count?
You want to know what's really fucked? Fractional calculus.
>>7655095
>>7653072
>failing high school maths
>shiggity desu senpai
ITT: Students dick waving when they learn calculus and how easy it was for them. They also never worked a day in their lives.
You fags should come back when you have three first authored papers, one patent, and a job working in some STEM capacity. Until then, you guys don't know shit and only take credit for something, someone else has proved and wrote it down for you to solve in a babby form.
>>7653072
Get out, why do you retards keep posting on /sci/?
>>7655191
fractional calculus always rubbed me the wrong way
is there any substance to it?
it seems like it's just a catch-all term for analytic continuation of differentiation operators and there's many ways to do that for each function
is there any notion of a "natural" or "best" continuation?
>>7655687
Nah, studied calc. formally when I was 16.
I've since worked 2 internships at R&D labs not including consulting work and I'm currently in grad-school with a first authorships on 2 papers (short one for your arbitrary 3, but I'll have it next year guaranteed).
Honestly people who fail calc are retarded and do not belong in STEM, even if you get a degree after X years it's a horrible, miserable career choice for you. It's not about dickwaving about how easy it is. People emphasize how easy it is because if you fail calc. you should face reality and drop out.
The dickwaving should continue to save people from pointless pain and suffering built on empty promises.
>>7653775
For me the hard parts were the series.
>tfw I literally blanked my complex analysis exam.
>>7655788
I'm grading my advisor's complex analysis course. I swear not one of those poor fuckers has passed an assignment.
I've been fucking around this semester and so now I'm failing Calc 2.
Is there any hope for me to pass if I study Calc 2 for 5 hours per day? The final is in a month and 3 days.
>>7656205
take the withdrawal and good luck next semester
>>7653338
>2015
>still taking calc 2 in college
>bragging because it's easy
you are one trashy autistic motherfucker.
>>7655788
what was it on, my man?
>>7653338
88% without extra credit? Nice.
I was just about to scan my linear algebra test and upload it. I got a 92%.
>>7656205
>month away
>still worried
just hire a tutor and study on you own
>>7653355
Derivatives are rate of change like >>7653392 said. Take driving, for instance. Your current position is based on the rate it's changing. If your position an hour ago was 5 miles away from where you are, your average rate of change in position is 5 miles per hour. The integral of that gives you total distance covered over an interval.
>>7653338
>thinks he's hot shit because he's in calc II
top kek
I just got got done with my my cal2 test, and i know for a fact that i got everything except one question correct, this question being the integration of a function using trig subsitution.
The integral from 0 to 1 of (x^3)(1-x^2)^(1/2)dx I guess you could also say it like (x^3) multiplied by the square root of (1-X^2)dx
I was not able to solve this problem correctly, please /sci/ can you help me out, it's killing me that this question is the one thing that stopped me from getting a straight 100.
>>7655640
>considering calc highschool math
>>7656245
> People thinking Linear Algebra is hard
>>7653775
In Calc II you have to start thinking more analytically about the math than you would in Calc I; there aren't exactly general computation rules at this point. Sequences and series require this especially.
>>7656262
Sure gimme a sec
>>7656262
>i know for a fact that i got everything except one question correct
Anon you're in for a surprise
>>7656264
>not considering calc highschool math
u wot m8
Let me guess, Amerifag/Ameritard?
>>7656283
The class average for the 2 previous tests were 72 and 70 respectively, and it doesn't help that I decided to take both Cal1 and 2 in one semester.
I consider myself decent at math but holy fuck the pacing in this class is fast, the only thing i don't really have a complete understanding of as of yet is using the washer and shells for integration.
But yeah, plenty of times i thought i made a B or A, come to find out i miss something simple and small, Though i know i must have have gotten atleast an 85.
>>7656262
Alright anon here you go. I'm tired so it's messy. The correct answer for the definite integral from 0 to 1 is 2/15, I got -2/15 but I'm too lazy to find my mistake.
>>7656276
If only we lived like the Russians and taught kids analysis from the start instead of this bullshit 3-semester calc sequence that no one likes.
>>7656326
Holy fuck, thanks anon.
No wonder I kept getting it wrong, at the point of
Integral of [1-cos^2(theta)][cos^2(theta)][sin(theta)] d(theta), I forgot to use u-sub.
During the test at this point I just kept changing the identities to try and see if anything would subtract from each other or reduce to 1.
Thanks anon, I really appreciate your work because now I see my mistake.
>cal 1 midterm
>90% of material is precal & 10%limits&derivative
>Got a F
Meh at least I did well on the limits and derivatives
>>7653338
how's state school?
>>7656353
Take a better professor next time, when i was in cal1 we had 1 test every week that covered either 3 or 4 subsections that our professor taught us the week before, we only had 7 tests and the final, it was really fast paced and difficult since he wouldn't give us easy problems.
Granted i consider my professor very good at teaching and it was an 8 week course, and iirc the first half of cal 1 was about 70%calculus and the rest either algebra of some trig.
it really depends on your professor and yourself also.
>>7656353
Also what type of asshole only gives out a midterm and a final, do professors really do that at state schools?
If so that sounds like some purposeful bullshit to make the class much more difficult than it really is.
Do they do that on purpose to make more money off of students having to retake the course?
>>7653684
>tfw Japanese high school student s know more math than American stem graduates
>look guys I can apply basic algorithms and solve really hard things!!!
>oh boy i had no idea that i had to use x out of {x, y, z} method to solve this gnarly derivative!!
and yet we have threads every day on how math>codemonkeying/cs
>>7656414
this isn't math, it's applied methods in analysis for engineering, known as calculus
>>7655115
>would you trust a heart surgeon who read all the med books possible in the world yet has not operated once to perform on your loved one?
Gotta start the surgeons off somewhere, right?
>>7656382
>uses kanji for the text
>writes the variables in English
>>7656414
Derivatives are easy, integration is more difficult.
>>7656448
It's also a very brief portion of the calc sequence. Half way through Calc II, your professor will say something along the lines of "this is all nice, but it's tedious. I'll just have you set up integrals from now on."
Integration techniques are mostly just a fun fyi and free exam grade.
As someone who failed calc twice, I can honestly tell you, it's not that you don't get it, it's that you're not putting the time in. That's what I did, I never studied, I always did homework last minute, and I'm more than willing to admit that I was a lazy piece of shit back in the day.
I learnt my lesson. I stopped dicking around chasing girls and I sat down and taught myself the material until I understood it. You have to take the initiative. No one can make you understand calculus other than yourself.
>>7655115
Every surgeon has to perform their first surgery on someone.
It boggles my mind how people could even fail calculus. It's one thing to to not get a good grade, but just getting above an F? Really?
>>7656205
Serious mate? You could study for 5 hours the day before the exam and you should be fine
>>7656823
I went into the test having not listened to a single thing all semester and thought "What the fuck is DY/DX? Is that a fraction or some shit?", needless to say I failed, confirmed possible.
>>7656832
So you fell for the "don't study, get an A" meme.
half this thread is shit like
>haha these plebs can't grasp addition? just wait until multiplication you gotta memorize tables and shit you probably couldn't even imagine
>>7656832
I'm talking about the people who try and fail. Like really try.
I go to a big state school so I see happen often actually. I guess business classes do need to be filled too after all...
>>7653072
Dont ever write a derivative like this: f'
Always use df/dx. Avoids confusion, and is helpful to see why the first integral is what it is.
>>7653072
Taking Calc2 and not Failing. I have a solid B. Feels good man.
I teach calculus, and I can say with 100% certaintly that if you fail calc 1, then it's because you should have not been allowed to go past algebra because you have a weak algebra base. (or you're exceptionally lazy)
Early calc is build entirely on the same stuff you were supposed to learn in pre-calc and algebra 2, but teachers in middle school and high school are afraid to fail students, so many people move on who wouldn't, and then are unable to do the next stuff.
Calc 1 and 2 are far, far easier than algebra 2 and precalc, assuming that you actually learned your algebra 2 and precalc.
>>7656926
The opposite is actually true. The dx method is sloppy (the chain rule is hard to state with this notation in higher dimensions) and relies on indeterminate variables, which have nothing to do with the function itself. Spibak has a good argument against the notation in Calculus on Manifolds.
>>7653072
>who /dumb as a rock/ here
ftfy
Is a B in calc 1 good enough?
I got a D on one exam because i didnt take my ADD meds.
>>7653338
>He saved his test
>He scanned his test
>He posted it on /sci/
It's just so cringe to see kids on here showing off their mid-term test scores as if it's some sort of special achievement. These kids actually truly believe that 98% on a calc II mid-term makes them a genius. This board needs Jesus.
>>7656288
Quit being a yurokek. The vast majority of HS students take calc at the age of seventeen. Some take it at sixteen. I took it at 15.
>>7656379
T..that's how most professors do things at the grad level in most schools.
Anon, quit being shitty.
>>7656427
Yes. As observing/residents. Then they start on minor surgeries.
>>7653072
I aced calc 2, but I haven't used any of it for so long I pretty much forgot all about it.
I know I can get up to speed in a couple of minutes if I read a refresher on integration methods, but it's still annoying to know that the knowledge you built up is currently gone due to lack of use.
Then again, I have never been a good student so I probably reap what I sow by being a lazy fuck.
>>7653495
>linear algebra
not bad
>just topology
ayy lmao unless you've got some other practice writing proofs you are fucked.
