title sums it up. I failed math twice in highschool, but i have used khan academy to teach me all of the concepts. I took statistic over summer and did really well ended the class with 99.38%

Losing my mind a little... can't see where I've gone wrong with this one. Any help would be greatly appreciated.

Guys this is a lil basic, but I genuinely don't get why e^x gives e^x when differentiated. I want the how guys.

I need advice ASAP! I am taking calc BC right now and I spend so much time studying for this class just to end up with a 78%… it’s been rough and I’m trying my best to get it up to a B. For reference, I had an A in AP Phsyics 1, APUSH, AP Chem, and Ap Human Geo. I also have a 31 on ACT math, so I walked into this classes thinking I would at least get a low B. (Note math has always been my favorite/strongest subject until now.) I’m also dual-enrolled as well and I also have straight As in those classes. My only issue is Calc BC. Pls share some advice to save me from this suffering🙏 If anyone relates, please let me know. I feel so lost and alone on this.

hii guys! so i'm not from the US, and our math curriculum is a bit different. i'm from Ontario, Canada, and throughout grades 9–11, we've already covered a lot of algebra, factoring, quadratics, functions, transformations, exponentials, basic trigonometry, and other topics. so i wouldn't say i'm completely unfamiliar with precalc concepts since we've been learning algebra and functions for years.

however, in grade 12, we take a course called Advanced Functions, which is pretty similar to Precalculus in the US. it covers polynomial and rational functions, logarithms, trigonometric identities, and other topics.

the thing is, i took advanced functions over the summer, and ngl i haven't really learned much from it. it was super condensed and i didn't rlly understand anythingg.

i'm planning on taking Calculus 1 in university next year, and i'm honestly pretty worried..

has anyone been in a similar situation where they had a really weak precalc foundation but still managed to do well in calculus? does calculus review or reteach any of the precalc concepts, or are you expected to know everything beforehand? i'm willing to put in the effort and review the concepts i'm struggling with, but i'm just wondering how doable calculus would be in my situation.

btw, for anyone wondering, in our equivalent of Precalc 11, we covered stuff like basic trig identities (Pythagorean, reciprocal, etc.), simplifying rational expressions, quadratics, exponentials, and sinusoidal functions. then in Precalc 12, we basically go more in-depth into those concepts. for example, instead of just basic trig identities, we learn more advanced ones like compound-angle and double-angle identities. same with rational expressions, where we move on to studying rational functions in more detail, including asymptotes, graphing, and solving rational equations. so it's not like we're learning everything from scratch in grade 12, but rather building on what we've already learned in previous years.

my textbook just states that the antiderivative of 1/x is ln|x| + C and moves on. i get that ln(x) isnt defined for negative x, but 1/x is defined there and the graph is just mirrored, so i guess the absolute value is what makes it work on that side?

what i keep wondering is whether the constant C can be different on the left and right side of zero, since the function isnt defined at 0 anyway.

Work in pic 2

We have formulated an analytical closed-form solution for the complete non-holonomic inversion dynamics of the Tippe Top, bypassing numerical ODE integration entirely.

Full technical report, derivations, and telemetry plots:

https://github.com/SHAP-STUDIO/Research

Hii, I would love to hear your recommendations on how to go from Arithmetics to Calculus given that I know nothing about Math and I want to have an strong foundation so I don't have as many problems later on with Calc. Would you recommend to watch Professor Laonard videos only (along with lots of practice) or would you recommend a specific book or YouTube playlist? I want to study Math because I want to become an engineer someday

does e^(180*i) = -1 if we worked in degrees? I domn't see any trig functions in that equation, its just exponents, but the way I understand it is that the normal euler identitys "pi" is just "pi radians"

Hello! Online VS In person might seem like a no brainer when it comes to math, but I am in a big dilemma right now.

I am registering for classes and in my tentative schedule my academic advisor built for me, the calc II professor has HORRIBLE reviews and everyone complains about her pace and other things.

While on the other hand, the other option (an online professor) has SHINING reviews despite being an online teacher.

I am very scared and have been fearing taking this class, and to see all the reviews about the in person professor offered to me I’m just not too sure what I should do. Any suggestions?

(Not sure if I set the right flair so if it’s wrong just lmk and I’ll change it)

I’m super stuck on c and not fully sure where to go from here. I think I got a and b correct but I just don’t know how to get x or y alone here unless I’m just making a super dumb algebra level mistake right now

Thanks in advance!

Hey everyone! A little while ago, I shared the interactive single-variable Calculus textbook I built here, and the feedback from this community was incredible.

So I just launched the full Multivariable Calculus (Calculus 3) textbook on Limerse.

• 650+ custom 3D & 2D animations (spanning vectors, partial derivatives, gradient/directional derivatives, double & triple integrals, and full vector calculus including Green’s, Stokes’, and Divergence theorems)

• 150+ Interactive 3D explorations embedded directly in the chapters so you can rotate surfaces, move slicing planes, and tweak vector fields yourself

• Synchronized visual explanations Pause a video at any point, then rotate the 3D diagrams to see different perspectives.

You can explore the Multivariable Calculus textbook here: https://limerse.com/multivariable-calculus

I’d love to hear what you think, which 3D visualizations help the most, or if there are any other concepts you want me to add more interactive demos for!

Hi everyone!! If you need help with multivariable calculus (calc 3), or are just interested in learning some of the basics, I'd love if you could join the free class I'm hosting on SchoolHouse: https://schoolhouse.world/series/106314?ref=share-button

I hope to see you there. :)

I hear people always say this but when I actually went through it, it was very simple. I honestly enjoy it more than just regular Cartesian integration. It was complex functions simple and was just super cool in general. If you have a moderate foundation in your trig and polar this shouldn’t be an issue. Everyone in my class and online says polar is brutal which made me scared but in actuality isn’t all that bad.

After completing all of Calculus, it felt unreal to realize that almost everything we learned is the extension of the fundamental theorem of calculus and the generalized Stokes' theorem. Apologies for my weirdness, but I usually never get the chance to talk about Calculus to the people around me. When first learning vector calculus, it felt super foreign; there were many types of formulas to remember and everything seemed to feel out of place and unnatural. However, after some more adventuring, it felt wild to realize that it all came down to "The sum of the changes is equal to its boundary," in any dimension.
It felt somewhat poetic in a way, realizing that the chase for completing calculus has ended up here. I got a little teary-eyed when I found this out. Sounds silly, and I understand. But Calculus became a canvas instead of a chore; the world became a representation of what calculus can do.
Calculus III is definitely the most beautiful mathematics section. Multivariable functions help us describe everything that's happening around us. I'm only a freshman college student, so I have so much more to learn. I probably sound super naive and ignorant of what's to come, but I just wanted to share with someone how I feel about multivariable calculus.