r/calculus

For the function f(x) = x² for the point 3, i get 6+ h (h is distance)..... Here i have to take limit h->0 to find the slope at that point. What my doubt is, we don't know the second point with which we gonna take the slope from. We assume that as from both sides it approaches 6. But if we try to get closest point, it will go infinitely. Then how can we trust that 6 is the slope at that point, as its impossible to get that most nearest point.

Hi everyone, this past year I took calc 1 and 2. I loved taking these classes and I did extremely well in both. I especially loved doing problems like partial fractions and trig sub in calc 2, stuff that requires heavy algebra.
I haven’t done any math this summer and a sometimes when I scroll through this sub I realize I’m quickly forgetting stuff that I knew extremely well just a couple of months ago. I’m also definitely going to be taking calc 3/ differential equations in the future and I want to make sure I also do well in those classes.
Im wondering if anyone has any recommendations for websites that will allow me to keep my skills sharp without having to go through a whole online course. I don’t know if anything like this exists but I figure it probably does. I also want to do some problems just because I also find it pretty fun so do so. Does anything like this exist for a girl like me?

im 20 years old been working at a Kroger since I graduated but want to do something better with my life I’ve always wanted to be a mechanical engineer but im not very good at math but i want to become better.

There are so many youtube math resources from so many different teachers i dont have time to watch them all to see their particular style of teaching. I need opinions on who may be the best math professor on youtube.

im a visual learner who learns through lots of examples and step by step breakdown of a problem or concept. not someone who just tells me 5+5=10 but why and how the equation or numbers or variables work this way. idk hopefully this makes sense just need some help moving forward

So I am behind, I am a bit ashamed of saying it but it's undeniable, something that held me back a lot were my bad precalc knowledge getting into engineering+ procrastinating. But like I gotta take calc 1, or better retake it. I basically wasted a year of uni and I think I just have come to the realization. My issue is that we already did the course for calc 2 and physics 2 which require to have calc 1 knowledges.

I struggle so much with integrals, like derivatives ok it's just rules, but often with integrals I just do not "see it", whenever there is a notable limit or stuff like that it's 10x more obvious. With integrals I end up only being able to solve just the real basic ones. What is the best way to get over my issue?

Hi there,

I do have troubles understanding this integration, even after looking at it multiple times and even talking to an LLM about it. Here's what I dont understand:

1. Why do we bother in this example, that sqrt(x^2)=|x| , I could swear that in most problems stuff like that is treated without the |.| , meaning most of the time I stumble upon an expression like sqrt(x^2) it seems to not be any issue to just write x, but somehow here it is necessary to write |x|...

2. Why do we not include sgn(x) in the integration? I mean technically we end up with two functions: sgn(x)*g(x), where g(x) is the sum of the two ratios with x and 1 respectively in the numerator. However, we only integrate over g(x) and do somehow ignore the sgn(x)...

I really struggle a lot with this integral right here and hope that someone can help me out. Thanks in advance!

https://preview.redd.it/hlxzvbd698bh1.png?width=1219&format=png&auto=webp&s=ac468e1ab0675f62987eccbec6acd6a325ced26e

Slope can be found when there are two points. In slope formula we factorize and cancel out the distance at last we get something. For example 2x+h for f(x)=x²..... Then we find the slope of the curve at a point by substituting 0 for h and the point for x.

When I think this algebraically it makes sense. But when I think about this plainly in physical point of view,...... it doesn't make sense because how can we find a ratio or proportion between something that has made zero difference.

Hi, I'm a student just stepping into Grade 10, and I have a few questions regarding my understanding of calculus. I'm self-taught for all of HS math, but I have a good understanding of a large portion of calculus and was wondering if there's anything else I should learn. I know:

Limits: L'hopital's rule, basic limits understandings (nothing crazy, literally just what they are)

Derivatives: Power rule, Chain rule, Product rule, Quotient rule, Derivatives of polynomial, trig, inverse trig, exponential, hyperbolic, logarithmic and implicit functions, second order derivatives, and extrema (maxima and minima)

Integrals: Indefinite and definite integrals of polynomial, trig, exponential, logarithmic and hyperbolic functions, integration by polynomial and trig substitution, integration by parts, and triple integrals.

Polar coordinates (idk where to put this): Polar coordinates in two and three dimensions.

I'm just starting on vectors in two and three dimensions, so I am working on that.

Any help would be greatly appreciated!

i took algebra 2 in my freshman year of highschool and im taking precalc over the summer... but the precalc is not that great

precalc syllabus:

• Pre-Calculus A
• Unit 1: Equations and Inequalities
• Unit 2: Functions
• Unit 3: Polynomial and Rational Functions
• Unit 4: Exponential and Logarithmic Functions
• Unit 5: Right Triangle Trigonometry
• Pre-Calculus B
• Unit 6: Graphs and Trigonometric Equations
• Unit 7: Trigonometric Identities
• Unit 8: Sequences and Series
• Unit 9: Conic Sections
• Unit10: Introduction to Calculus

i wanna prepare for calc the BEST i can so what should i learn in addition?

From my understanding, Calculus 3 as it's called in the USA is Multivariable + Vector Calculus. Basically an extension of Calculus 1 and 2 that introduces scary shapes in the end?

Now, I'm studying for my third Calculus course, and I find it to be way easier. I feel well prepared after three days. Whereas I spent a full week on both 1 and 2, and only got around 50%. I did change my study methods, where now I immediately dive into sample exams from scratch, whereas in 1 and 2 I'd work my way through all of the homework problems.

Now, Vector Calculus is a seperate course for me, do you think that could be the reason?

Interestingly though, looking at my uni's quality report, Calculus 3 (Multivariable) has a passing rate of around 30%, whereas for Vector Calculus it is around 50%.

I was learning calculus, but this thing I still couldn't understand. How can a dot have a slope? Slope is just like saying how much a line is slanted right but how can a single point have a slope.

Hey guys! I'm a high school student in India.

Over here, I'd initially started off studying to pursue medicine but had a change of heart and now want to pursue Physics.

For this, I'm moving into the IB curriculum, and I've taken Maths AA HL (Analytics and Approaches High Level). It's a very difficult course; it has a syllabus that involves a majority of calculus.

Unlike my classmates, I have no knowledge of calculus. My peers know calculus up to Calculus AB.

I have about a month before my junior year starts, and my grades are really important for my college applications. Math being one of the toughest subjects, I want to know the best way I can practise and the best way to fast-track my calculus journey.

TLDR: Just starting our calculus from scratch; need to know the best way to learn and common mistakes that I might make in my learning process and how to best avoid them.

I have studied precalculus ie algebra, trigonometry, binomials and more stuff

And now I really want to learn Calculus in a good manner instead of just for problem solving.

How do you people recommend I start my journey with? How much time is it gonna take? I've heard of a book called "Stewarts Calculus" but don't know much about it. Please help me out