"Calculus Is EASIER Than PreCalc"

[@user-dt7vt3cm2b]

Calculus concepts are far more down to earth. Understanding anything about derivatives was easier that idk, polar functions.

[@devonharvey8414]

Concepts are more abstract than subjects before it, but everyone mind is different, what maybe easy to you may be harder to others, how you like calculus, I’m learning limits and continuity

[@BabyMessi_]

You literally have to find derivatives of polar functions . It is hell

[@Boltclick]

@@BabyMessi_ That's like the end of Calculus II at most places (BC Calculus if you're in American High School). Calculus I ends a little bit after basic integration: it's actually really simple. Calculus II is when you get into the torturous stuff, like finding the volume of areas of rotation, Calculus with polar functions, and limits of summations. (and Calculus III (Multivariable) is when you question life, before finally having a bit of respite in Calculus IV (Differential)) At least, that's how it is at most places: some institutions may do things differently.

[@244295132171]

Bro confused between Analysis and Calculus. 😂

[@Boltclick]

@@244295132171 Take Calculus, and you'll get what he's saying. Calculus concepts are extremely observable. Seeing the relationship between speed and velocity is so much easier than most Algebra concepts. This is all Calculus revolves around: using the slope of equations to figure stuff out. It's legit just finding slope, but on a larger scale with more moving parts.

[@daniyalhashmi6433]

Math tutor here, in my experience, it's not calculus that trips up students, the majority find the new concepts to be easy to understand. It's when calculus starts applying alg I + II, geometry, and trig that most students struggle with the course due to not remembering the material from previous years.

[@ilovecats0998]

Yes.

[@lemagicbaguette1917]

I mostly blame this on how schooling is overall structured: too much emphasis being placed upon memorisation and regurgitation on tests.

[@alpheusmadsen8485]

This is my experience, too, both as a tutor and as a grad student teaching classes.

[@Symmz]

Bingo

[@Optsw]

I’ve been thinking this the whole time I’ve been in college math but you put it a lot more eloquently! It’s really embarrassing to have to ask my Calc 2 professor how he factored something or about exponent rules, but then he’ll explain it and half the class goes “ohhhh yeahhh” 😂 Or like the other day when I was working on Taylor series and had to google how to add fractions.

[@architech5940]

I still think calculus was easier to absorb and retain than precalculus

[@duckymomo7935]

Calculus concepts makes sense Pre calculus is a mix of everything

[@AaronLacasse-z2f]

I did so well in pre calc Calc killed me

[@lefishe7431]

​@@AaronLacasse-z2f what does calc stands for?

[@justaguy3826]

@@lefishe7431 calculus

[@Alex-ns6hj]

Calculus

[@imagod4796]

For anyone curious about the bottom problem, the solution is 0

[@HanzCastroyearsago]

what does f^10 notation mean? the 10th derivative? or f(f(f(…))) with 10 f’s?

[@burningtime7746]

​@@HanzCastroyearsago 10th derivative

[@KotikKelTuzada]

It took me 11 seconds I guess I'm not so good in calculus(

[@BenMartin-f5v]

Lmaooo it’s not 0

[@shingiaxiom6650]

You clearly have no idea what you're talking about if you can't figure out the answer for this question ​@@BenMartin-f5v

[@AlexKlindt]

People claim that math is hard because of perceiving it as arbitrary and that hurts retention. Until late pre-calc/early calc, I swear math curriculum goes out of its way to avoid explaining the interconnectedness of math subdisciplines. A pre-algebra student learning about slopes and exponents should be taught basic derivation because it is a tool that is not hard to use or understand that can dramatically increase their ability to reason through associated problems.

[@Obecox]

The study of pre-calculus involves the application of various mathematical formulas. Calculus, on the other hand, focuses on determining the slope of a curve and calculating the area under a curve.

[@reedschultzgeo]

Answers to both problems here: Top problem: step 1. let u = √5x-2, making the problem way more simple (10 + 3u)/u = 3 + √10 step 2. multiply both sides by u: 10 + 3u = u(3 + √10) step 3. subtract 3u from both sides: 10 = u(√10) (the 3 on the right side of the equation in step 2 was technically 3u, thus allowing us to remove the 3 altogether) step 4. divide both sides by √10: √10 = u step 5. square both sides: 10 = u² step 6. replace u with the substitution made in step 1: 10 = 5x - 2 step 7. now this is just a simple algebra problem, in which x = 12/5 bottom problem: first off, integrating g(x) from 0 to y gives us the function (y⁹/9 - 126y). the entire function itself doesn't really matter in this case, the only important takeaway is that the leading degree of y is 9. since the nth derivative of a function lowers the degree of the leading exponent by n, the ninth derivative of this new function would be a constant (with x having a degree of zero). this means that any subsequent derivative has to equal 0, since the derivative of a constant is always zero. hence, the 10th derivative with respect to y is 0. *edited my answer to the bottom problem because i completely forgot about the integral. in this case, forgetting to integrate resulted in the same answer anyways so it was a lucky mistake

[@ace_nano]

The 9th derivative is constant. You need to integrate then derive

[@TheInterestingInformer]

Ohh is THAT what the bottom problem was asking? Is that a calc 1 problem? I was so confused on the notation cuz I haven’t done calc in years (and I wasn’t very good at it)

[@formiga4106]

Hey, i love your comment, but, i don't get the fourth step of the first problem. How does 10/sqrt(10) = sqrt(10) I kinda feel this is a dumb question 😅

[@reedschultzgeo]

@@formiga4106 its not a dumb question haha, but understanding the answer requires you to think of what a square root actually means. (√10)² = 10, because squaring a square root just cancels the square root. this means that (√10)(√10) = 10, or √10 = 10/√10 (dividing both sides by √10)

[@reedschultzgeo]

@@ace_nano thanks lol just fixed it 👍

[@tatums_quilt]

Difficult = tedious when you’re a burnt out but intelligent high school senior. Doing busy work and long hard stupid questions for five hours every night is more difficult on your body and energy than putting extra thought into grasping more complex ideas. English 4 AP is probably easier for a lot of people than some random creative writing class because maybe the creative writing class is tedious and takes up too much time. As a chronically ill always tired person, anything tedious is super hard for me

[@Garfield_Minecraft]

That's why I'm bad at arithmetic but did well on set theory and calculus

[@steezydi]

Arithmetics can be very very tedious

[@jaysmith7062]

The difficult part of calculus is all of the algebra and trig you need to sort out before you get to the calc step.

[@Thetubaguy104]

Calculus is easier than pre-calculus however. This is because not only are derivatives and integrals easier to grasp fundamentally than things like polar equations, vectors, matrices and bearings; pre-calculus has you jumping from topic to topic often with no relation to one another whereas calculus is the building of one topic over another so you get better at both the last topic and the topic you're on right now. Also, I'd rather do the bottom problem since it's just power rule repeatedly, and since derivative of a constant is 0, answer is 0.

[@artelcampos]

Bro I am more convinced now that calc is easier than precalc I was stumbling for a sec on the precalc problem

[@mirkoyanquetomasevich5865]

For anyone curious about the top problem, the solution is 12/5: In[1]:= Solve[(10 + 3 Sqrt[5 x - 2])/Sqrt[5 x - 2] == 3 + Sqrt[10], x] Out[1]= {{x -> 12/5}}

[@danielsac6316]

And the bottom solution is 0: f(y)= y⁹/9 - 126y So derivating: f’(y) = y⁸ - 126 (one can actually start from here, if the antiderivative definition is used), f”(y) = 8y⁷ f”’(y) = (8•7)y⁶ So, the ninth and tenth derivatives are, respectively: f⁹(y) = (8•7•…•1)y⁰ = 8! (a constant) f¹⁰(y) = 0

[@PiyaliD]

I got 2/5

[@PiyaliD]

12/5*

[@sharingheart13]

I disagree. Calculus 1 is far easier than pre-calculus. I mean, the rules for basic derivatives are a lot easier to remember than the quadratic formula as is. You could easily teach Calculus 1 before college algebra. It won't make as much sense, but people would still ace it far more often than college algebra. I still remember the first thing I was taught in calculus 1: "A line without a break in it is called a continuous line. If it has a break in it, it's called a non-continuous line." The professor even showed drawings and went into detail. Calculus 2, however, is a very cruel reminder for why some people have to choose between STEM subjects and good mental health.

[@randomperson-kv5nx]

How I always measure difficulty: How long did it take me to actually understand the concept? How does it effect my stress levels when I'm doing it? How much work does it take after I know how to do it regarding number 2? So in other words calc 1 WAS easier for me because the precalculus class I took only went with what the book said. The teacher also had us practice 50 precalculus questions every night which just stressed the ever loving god out of me because I'd be like "Ah ok I get it" then get through like 5 questions in just to look at the rest of them to see 90% the same question with different numbers. Remember this was every day and also a terrible way to teach a topic. Reason why it is generally a terrible way to teach: If you work on one chapter only once the entire year then you may forget how to do the math, not every chapter teaches the same math. So by the time I'm on Chapter F, I have already potentially forgotten something from Chapter A but Chapter F also doesn't go over that topic in Chapter F-l and comes back up at Chapter M. Chapter M becomes hell. I watched half the class cheat durring the tests.

[@Puppeteer_in_the_Void]

I've noticed that honors math classes are less tedious than regular math classes of the same grade and subject

[@EngagingOverImmersive]

The kids in the honors class typically need to do less to get the same understanding

[@duckymomo7935]

That might also be because you can converse the concept of math than focus on the computation

[@kriiler]

yeah because the teacher doesnt have to baby the students as much as the regular classes

[@hodayfa000h]

Huh, kinda wish we had those

[@FerghusCameron]

@@EngagingOverImmersive Different learning speeds. Some intelligent students in Math might be poor in English, or Arts, Drama, Music, so we all have to support each others to get well-earned results!

[@SuperSyntax-s7w]

Amazing distinction to make, well designed video

[@ben_adel3437]

I think a way to visualize this is a ladder that doesn't have equally distanced steps going from algebra to precalc is a harder jump than going from precalc to calc so people will view calc as easier than precalc but for someone who only knows algebra they're equally hard

[@wmpowell8]

(10+3√(5x-2))/√(5x-2)=10/√(5x-2)+3=3+√(10)⇒10/√(5x-2)=√(10)=10/√(10)⇒5x-2=10⇒x=12/5

[@ilikespaceengine]

No one asked you to find the value of X😭🙏🙏

[@bacchadumII]

@@ilikespaceengine Bro it literally says "Solve For x" 😭🙏

[@lefishe7431]

​@@ilikespaceenginestupid ahh

[@Atharva-wc7pq]

@@bacchadumII NAAWWWW

[@Mnaughten601]

The hardest lower division math course I took was Calc 2, calc 3 was easy compared to calc 2 because it is basically calc 2 with nested variables, partial differentials, and vectors. After calc 2 every math course was fairly easy for me until my first semester of abstract algebra, and the last semester of real analysis.

[@DomBrungardtCubing]

Learning calc is way easier than learning precalc for me for some reason. Probably because i have a very good calc proffesor

[@thenamestails7152]

If only all calc problems were 10th derivative of a power 8...

[@abieloto]

i definitely think calculus 2 is the most humbling math course most stem students will have to take

[@amoriamer8507]

anyone wondering, the solution to the bottom problem is 0, the problem is requesting for de 10th derivative of the f(y) function, and said function is of degree 9 at most, so, by the 9th derivative we will have a constant, and so the 10th will be 0

[@APerson-14]

My teacher literally said calc was easier than it

[@gspaulsson]

I explained it to my calculus-phobic son like this: how do you figure out the area of a circle? Well, you start with a sqare inscribed in the circle, with corners touchin. Obsiously, the square is smaller. But now increase the number of sides: 6,12,100 ... The more sides, the closer you get. Next, you're filming a car accelerating on a drag strip, and you want to know how fast it's going at 1/8 mile. So you find the frame taken at the point. But you can't figure out the speed from one frame, so you take the next frame and measure how much it moved. That gets you the average speed between two frames. To get a better estimate, increase the frame rate. Keep increasing it until the change is too small to measure. In calculus language, the instananeous speed at any point is the limit of the difference in space (ds) with respect to the difference in time (dt) as dt approache zero. Similarly, the area of the circle is the limit of the sum (long s) of the areas of the incribed polygons, as base of their tangent sides approaches zero. Once you know the area, you can derive pi, but you can never know the area preciely, because pi has an infinte number of decimal digits. I learned calculus from Apostol's text, who introduces integral calculus before diffential calculus and was finicky about Newton's concept of an infinitesimal. My physics prof need us to know differential calculus from the get-go, so he explained as Newton did, defining an infinitesimal as "a number so small that you don't give a damn." An infinitesimal can be defined as the difference between 1 and 0.9999... You can teach math as abtract, dry and tedious, or with colour, getting to the abstraction from concrete examples. You could say that understanding of abstract concepts is the limit of the difference between examples and abstractions as the student's confusion approaches zero.

[@champu823]

Uptil single variable calculus if you have done pretty good algebra and coordinate geometry and trigonometry then it might feel pretty easy and you will be able to explore the conceptul part of calculus more like solving tough problems but when it becomes multivariable shit starts to become tough af

[@citrus4419]

And then you hit an abstract math class like linear algebra and calculus seemed easy

[@Mnaughten601]

I disagree multivariate was the easier parts of calc 2 with a few added quirks.

[@hodayfa000h]

​@@citrus4419isn't linear algebra easy though?

[@Seacle14]

Just started taking math classes in university. I want tedious back and difficult gone.

[@ForsakenedMilk]

So hear me out; What if they just had one bad precalc teacher and then an amazing calculus teacher. From school to school, it’s different.

[@yuri990]

Yup Calculus 2 was this for me. I love calculus 1, 3 ODE, PDE. The only class in the calculus family that I don’t like is calculus 2 or integral calculus.

[@MrYellowAndYacello]

Though I don't have experience in calculus yet, I want to know the solution and how to calculate the bottom expressions.

[@BilalAhmed-on4kd]

0

[@jakegoddard9149]

Integrating an 8th degree polynomial gives you a 9th degree polynomial. Differentiating a 9th degree polynomial 10 times gives you 0.

[@meraldlag4336]

Are we not integrating 10 times though? I’m probably too tired for this

[@jakegoddard9149]

​@@meraldlag4336f(10) means differentiate f 10 times.

[@ImperialFold]

@@meraldlag4336 no, just differentiating 10 times

[@fgvcosmic6752]

I am much beyond both precalc and calculus. I do still believe Calculus is easier, much easier in fact. Calculus 1 concepts _are_ very easy, and honestly more digestible than precalc. A lot of precalc work implicitly assumes calculus in a weird way, in that calculus is later used to post-justify what you were taught in pre calc. As well as that, the step up is definitely smaller. Transitioning from pre calc to calculus is a much smaller step than from basic algebra to pre calculus.

[@nothing0x4D2]

Would you give some examples?

[@SISKCERTWaJaVlogs]

calc 2 and calc 3 are slightly harder but theyre both easy in their own ways. its when you get to real analysis and mathematical reasoning (and depends on the prof) is where shit gets hard if not already in linear algebra and diff eq

[@SISKCERTWaJaVlogs]

take it back diff eq was challenging but if u remembered how to do all of them youre solid

[@Metheglyn]

When you talk about pre-algebra, precalc and calc 1,2 and 3, it seems like you are referring to well established concepts that should be understood by anyone with a background in science. But the words themselves looks like course names. Are math courses nationally defined in your nick of the universe?

[@Ymir._]

The top problem took me 9 minutes because i forgot how to make the denominators equal and spent 8 minutes to figure that out. And the calculus problem took me 5 seconds because it is easy

[@KatyaStrigina]

I'm going to show it to my students in high school math honors. In order to get to calculus, they have to solve a lot of tedious stuff. There's no way around it. I just started teaching but I remember all this easier concepts at the tip of my fingers, decades later. Practice is all they need but it is so hard to convince them that one time when I was there in the seat, I had to do it 500 times before I dig into Riemann integrals 😂

[@melonking9752]

1)12/5 2)0

[@Dubs913]

I’m in calculus right now, and can’t understand derivatives to save the life of me. And I’m sure that’s a problem, because I can only imagine the derivatives will only get harder from here. Does anyone have any helpful tips or tricks that helped them pass their calculus class? Any help would be greatly appreciated

[@portedmoon]

Oh man I struggled pretty badly back in AP Calc AB. I ended up using a free trial of Aleks to nearly perfect my math skills from about algebra up to pre calc. Perfecting those skills really helped me in that class. And then practice. Oh man please practice. Literally anything. Me and a friend would draw out random functions on a white board that we would make up on the spot and try to figure things was an integral possible? Critical points? Derivative? This is great and all but if this is Calc 1 in college you may not have much time. Something that helped me in college classes and college calc classes was like pre studying before a class/lecture. So if you see on the syllabus that you have chapter 3.4 Chain Rule on the agenda for the day then you can do a Google search of "Chain Rule Calculus 1" and try to either find summaries of it online, or short videos going over it. There's been a few times that I find a 50 minute lecture and I watch maybe the first 10-20 minutes of it. This is usually enough to prime myself for when class comes. Even now though we have things like chatgpt so you could always say smth like "Hey I'm a learning calc 1 student and I want an introduction in XYZ topic" so that's an idea XD also making friends in your class or in higher level classes if you can find some. That honestly made studying seem less stressful. Anywho I hope this can help you a little bit, enjoy the rest of your day!

[@jadenroach4832]

I’m doing the Australia curriculum, and I’m only year 11, but something that helped me is relating the derivative of distance to speed. The rate of change of distance is the speed you are moving at, so that’s the derivative

[@Brad-qw1te]

It’s just the rate of change.

[@sandy69402]

@@jadenroach4832 i'm sorry if my comment sound condescending but y'all are overcomplicating a very simple concept ... all a derivative is that it is a FUNCTION that represents instantaneous change in one variable with respect to another variable .... if u plug in values of say the x coordinate into this function then u will get the rate of change of y with respect to x at the point on the graph corresponding to the x coordinate u plugged in just now ... this rate of change is geometrically the slope of the tangent at THAT particular point of the curve

[@sandy69402]

if it helps then try watching differentiation courses from indian youtube channels that teach in english ... u'll master this topic in no time

[@thoroughsix999]

The hardest thing about the calculus series (1/2/3/Diff Eq) is that it all builds off eachother, if you struggle to establish a good understanding of something it will then carry over to other sections, not to mention if your algebra and trig skills aren't that good you will struggle a lot like I did when I took calc 1 the first time.

[@mooshiros7053]

The concepts in introductory calculus are much easier to absorb and digest than the ones in precalc

[@mason7642]

often times people are decribing the courses. Not the concepts. Precalc was harder for me mainly cause of other circumstances, but also the tests and such have more opportunities for mistakes that aren't not knowing the concepts.

[@ThatChannelWithANameThatsTooLo]

Difficult and tedious are two different different things, but they are both opposites of easy

[@chudleyflusher7132]

There is easy vs hard, and there is simple vs complex. “Simple and complex” are descriptions of the nature of a problem and how many steps are required to complete it. “Easy and hard” describes our subjective experience in solving the problem. A simple problem may be hard to solve and a complex problem might be easy-depending on one’s abilities. I think that “tedious” describes the latter-a complex yet easily solvable problem.

[@Kraken-lm1cx]

I mean the 10th derivative of a 9th degree polynomial is probably easier to solve than stressing about an algebraic mistake on the first question

[@NoMouthNoScream]

I just call it difficult or complicated instead of teedious or difficult. It's simple to open a heavy door but it's difficult while it's easy to solve a math problem but more complicated

[@portobellomushroom5764]

Precalculus was not just tedious but also difficult to understand without the context given by calculus. Calculus would be easy to understand even without the context given by precalculus, because the concepts of integration and derivation are so easily understood, and they largely follow simple rules.

[@donnydarko1448]

Also like once you've done pre Calc you have a base level understanding making higher levels seem easier than doing pre Calc with no base understanding

[@Mathemaniac-yg4ng]

For me, differential geometry is easier than whatever kind of euclidean geometry they're teaching at my highschool. Also, the problems are a lot more varied and more satisfying to figure out as you progress further into advanced maths.

[@mathematicalworld-x5w]

x² =16² - 250 - 6 = 0

[@gffhvfhjvf4959]

thats just because less people know calculus though. if we taught everyone how to solve algebraic problems like this and integral problems like this in middleschool, everyone would choose to solve the much Easier calculus problem.

[@TheWantCheesebro]

Precal was actually harder for me because at that time I was a senior and didn’t care about school as much as I do now

[@crystalcove99]

Sorry, but I still strongly believe that, at least for me, Calculus 3 was easier than Calculus 2. Calculus 3 was mostly just stuff that is talked about in Calc1&2 but WRT 3D surfaces or even higher-dimensional surfaces. However, while it sounds complicated based on that description, working the problems out is actually very straightforward. At least for my class, Calc 2 was FAR more dense with content than Calc 3, and most of the mindnumbing integrals you might have to face in Calc 2 were nowhere to be found in Calc 3... ie the integrals in Calc 3 were just easier than those of Calc 2, because the focus is no longer on the integration strategies.

[@EyesOfFrozenMeat]

I would counter that the jump from Algebra into Precalculus is a bigger one than from Precalculus to Calculus. Its the jump in difficulty that matters.

[@GaminghunterYTOfficial]

Bruh i need a video dedicated to derivatives.

[@cyborgvison2024]

So now, correct me if im wrong, havent done any sort of calculus in a year or so, but cant you do f prime, get rid of the integral so f'(y)=g(x) plug in g(x) then take the derivative 9 more times? I know the answer is 0, but cantyou do that?

[@yanntal954]

Tedious does equal difficult. Math is NP hard.

[@dAni-ik1hv]

I find calculus easy and I say it's easy but that's only because I learnt it from my own research and the amazing guidance of 3b1b and other teachers. I'm definetly expecting some struggle when I actually get into a calculus class.

[@TreyWilliamson-ku7bi]

The other consideration here is the difficulty jumps between levels of math. For many people, going from high school algebra/geometry to the trigonometry, college algebra, complex numbers, polar coordinates, etc. found in precalculus is a greater increase in difficulty than the jump from precalculus to the derivative rules and simple integration in calculus I. The material is still harder, and the concepts from precalc were necessary to understand the new material, but you might find yourself struggling less with Calc I, for this reason.

[@МИХАИЛБЕБРОЧКИН]

To solve second task it's enough to understand, that we got max у⁹ in f(у) and therefore answer is zero. You don't have to be good at it to understand the gist of the problem in ten seconds. On the other hand, if we were to take the ninth derivative, we would have to tinker with it. It's just a matter of the task, it won't be difficult to make a task from the topic of the first task that can be solved in ten seconds and looks difficult at first glance

[@MH-tg4jt]

I will die on the hill that the amount of information and difficulty of adapting to new concepts in calc 2 is easier than applying those concepts in calc 3.

[@zqwas6306]

Thank you ! Needed to be said

[@LibertyforGreatness]

Well, as someone that went into full youtube precalculus, calculus 1, 2 and 3. Here it is my PERSONAL opinion: precalculus was hell because I never had any idea on those things at the beginning, calculus 1 was acceptable, calculus 2 was HELL, calculus 3 was the easiest with triple derivatives and triple integrals, it seemed the easiest . still my personal opinion.

[@cristiandieleonora4936]

You could also resolve the first in even less than 10 seconds though.

[@Abstract_zx]

Some classes are also just harder at a higher or lower level. Sometimes you have courses that just have more difficult exams and homework. Calc 3 at my university was known for being harder than some significantly more advanced courses just for it's homework load.

[@RGC_animation]

It's also about the difficulty curve. Going from algebra to pre-calc can often be very daunting and challenging, but going from pre-calc to full calculus, even if calculus is harder, might not be that big of a leap.

[@andyaqn57]

Cal student here. Bottom problem looks way easier once you understand integrals.

[@tunistick8044]

for anyone wondering, the second equation is solved with newton's binomial

[@Bonjour-p8r]

No + it isn't even an equation 😭

[@Bonjour-p8r]

To solve the f10(y) problem, you integrate g(x) with respect to x first. You should get [x9/9 -126x] with boundaries y and 0 which equals y9/9 - 126y. So, f(y)= y9/9 -126y Next, the highest power of the function is 9. So, the ninth derivative is a constant, which means that the tenth derivative is 0. So, f10(y)=0 and the problem is solved

[@mechaboy95]

As someone who can solve both equations I agree, I prefer the second one

[@samueljehanno]

10/sqrt(5x-2) = sqrt(10) 10 = sqrt(10) sqrt(5x-2) a = 10, b = 5x-2 10 = sqrt(a) sqrt(b) 100 = a × b 10 = b 5x-2 = 10 5x = 12 x = 12/5 = 24/10 = 2.4

[@munzermutasim3162]

For anyone wondering, for the first problem, x =2.4 and in the second problem, the answer is 0. What I find funny is the fact that both problems are overcomplications of very simple things. The first problem is just 5x-2=10 while the second problem is zero.

[@Lucky-oz4qb]

i think they are speaking in terms of relativity. For example, where i am from, gr12 calc and calc I in uni cover almost the exact same things, the difference being that uni calc obviously goes more in depth and it covers integral calc while high school does not. objectively speaking, calc I in university is harder, as it covers more topics in a shorter amount of time; but if you have already taken gr12 calc then you have already seen the majority of the content. so, relative to gr12 calc when you had to learn all of it for the first time, uni calc I is much easier because, for the most part, you already know/have a basis for what is being taught and may only need to remember a proof for something that you weren't taught in gr12. I think that is what people mean when they say "x is easier than y"

[@clwho4652]

As a person who struggled with math, I could solve the bottom problem in my head, I would need to write the top problem down and do all the steps. Calculus, especially when it comes to polynomials is easier to learn than algebra. I think a large part of that is how math is taught, basic algebra could be taught with arithmetic. x+3=4 is simple enough that one who knows how to add and subtract can solve it if shown, same for x-4=1, 3+x=5, etc. It is just moving around numbers. If basic algebra was integrated into teaching arithmetic, by the time students got to algebra they would have an understanding of the basics and the harder stuff would be easier to learn.

[@crowbar_the_rogue]

I have a mentality that if I can't solve a problem instantly, it's too difficult for me. So I prefer difficult but straightforward problems to simple and tedious ones.

[@thebeardman7533]

I can confirm the bottom problem took me like 5 sec no problem I mean i would definitely prefer the bottom problem in this case

[@fusion67]

Before I took calc 3 people were saying to me that Calc 3 was the easiest calculus class. How incredibly wrong they were.

[@genepirate7114]

intro calculus is more tedious but easier than precalc; the real hard thing is not intro calculus but analysis

[@yourewrong9028]

For the record, I say this, but what I mean when I do is something different than tedious vs hard. What I always say is, assuming that you understand the prerequisite concepts to the same degree, calculus is easier to learn than precalculus. Basically, I think it’s much harder to learn precalculus when you know only the required algebra and geometry stuff than it is to learn calculus when you know precalculus.

[@shy_dodecahedron]

Got it. Whoever designed school had a burning hatred for ADHDers.

[@droidy347]

No, calculus was definitely easier to understand than trigonometry. It’s easier and less tedious.

[@eliteteamkiller319]

My guy... I remember EXTREME tediousness in one of my differential equations classes where we were utilizing massive series and transformations. Difficult AND tedious. Same with analysis (unless you got that intuition baby).

[@marmaladetoast2431]

I feel that "difficulty" just means making the problems harder by making people think harder instead of smarter

[@Walker_96365]

When I took AP calculus in high school, the only questions I got wrong were the ones where I made a mistake in the algebra

[@WolfgangDoW]

Me where Stats 1 had Normal Distribution, but Stats 2 only had Poison Distribution So much fucking simpler!

[@alejrandom6592]

Algebra is about a lot of tricks to solve weird factorizations. You forget the tricks, you forget the class. Calculus is about concepts, only thing you gotta memorize is a table of derivatives and you are basically done. Difficulty is subjective, but complexity is absolute. Being good at arithmetic doesn't help much with algebra, but being good ar algebra helps a lot in calculus.

[@CoolTools1482]

Difficulty is the amount of work put in, tediousness is basically just that. How advanced something is doesn't mean it's harder. Those students are right, brother

[@Rockstarskar]

I forgot how to solve the top problem but I know how to solve the bottom problem with ease haha

[@Abd_del_rey]

The top one actually took me 50 seconds

[@Logan-hh9me]

No high schooler is solving that top algebra equation in a minute lmao.

[@dylanmcloughlin2187]

I would much prefer that Calculus question ngl

[@Souleyman-su4em]

My answer for #1 is x=18.4

[@kriiler]

nah calculus 1/2 problems are way easier to understand it's just rate of change and area and applications + series which is more applications. precalc has a lot more jargon you have to go through which makes final tests harder because there's more to study for calculus if i just understand the main concepts i can ace any test. but every higher math class relies on the base you set up for yourself prior so if you didnt really understand precalc and are in calc then calculus will seem harder than it really is.

[@TheOOPprogrammer]

Again though, you confuse difficulty of problems with difficulty of course overall. With Pre-Calculus what makes it hard is that you switch continuously from very unrelated topics (like going from polar equations to vectors) which are many things that are completely unique whereas in calculus every topic builds on each other, not only making the next unit easier to understand, but further building on the previous units. Which is why Calculus is easier than Pre-Calculus

[@cupcakemuffin8104]

the algebra problem took me 15 minutes and i didn’t even get it right lmaoo i wonder why i’m failing calculus

[@ytman-lq2mj]

Nice

[@gaetondavis3741]

Pre calc feels like a barrage of disconnected and random new concepts

[@onurruzgar4635]

Yes!

[@celestema740]

I was that kid, and I'm proud of it.

[@its_puggy_pugster8469]

Yeehah!! Algebra and calculus in one video!? What is it, my birthday?? 😜

[@blibityblobity]

Your college calc problem is stuff we in the UK do in first year of our equivalent to high school

[@foxsimulation7630]

i rather take the bottom option

[@piggyjain8720]

Thanks for the deep analysis 🤣

[@cozmonauts932]

Calculus is easier than precalc it’s also way more fun and interesting

[@GD_Anchanix]

But in all of this, it proves how simple calculas it

[@SIB1963]

No, the "higher" math is often easier than the "lower" math in the sense that the "higher" math might be a shorter step. For example, getting your mind around the concept of an "unknown" might be much more difficult for some than, say, the idea of infinite sums of infinitesimals (i.e. integral calculus). Thus, it would be perfectly correct in this case to say that calculus is "easier than" algebra, because the core concepts of calculus are easier for an incoming calculus student to grasp than are the core concepts of algebra for an incoming algebra student.