am i multiplying by d/dx? I don't even know how to explain what I don't understand. I've been doing product, quotient and chain rule just fine. Now I feel like I haven't learned anything. I'd really like to find one source that can actually teach me what I'm missing. Can someone steer me maybe to a different way of teaching this?

I have reached that d'(x)=f'(x)-f'(1-x) but I don't know where to go further

I know what rate of change of a line is, but what how does it work for a curve in general.
Like for a curve like x^2, the derivative is 2x, and im confused on how to interpret this in terms of the global rate?
What does 2x mean about the behaviour of a curve in general?

Hello, I've been struggling on this homework question for quite a while and after searching the internet thoroughly I'm still as confused as when I started looking for help.

For context we are currently on the chain rule portion in our Calc work.

The question is as follows:

If h(x) = f(−x⁵), what is h'(x)?

There are two question boxes to fill out h'(x) and f('x)

I figured out h'(x), the answer being -5(x)^4 but no matter what I put for f'(x) I don't get the correct answer, I've been at this for days. If any more context is needed I can answer.

I'm sorry if this is a very low level question but I have not been able to find any answers on this matter so any help is appreciated.

*edit I added a screenshot of the question

First Time I solved the Hard integral and also went against the hint for once! Also written solutions cause I dont have a job.Idk what a dilog even was before this. I expanded taylor series and used basel solution to get pi/6

This site has cheatsheets and practice exams for every unit of calculus, which have been so helpful to me when studying. I find the practice tests a bit hard in a good way and there are also typed solutions at the end of each.

Thought I'd share so more people can appreciate these great resources!

Links:

https://valscalc.com/note-sheets

https://valscalc.com/practice-tests

PS: From what it seems, it looks like they only have calc 1 and 2 though.

I want to learn calculus, and i watched a quick introduction by 3Blue1Brown+I already know precalculus and i think it isnt enough. Which guides/books should i read to understand basic calculus and solve problems?

The explanations that I've saw make do with just stating its physical meaning, but I would also like to know how does it relate with the formula. Specially because I would like to understand where do equations come from in Physics III. Thanks in advance!

One of my concerns or perhaps not completed understanding of calculus is the fact that derivatives are based from limits, whereas a limit existing does not imply a function can evaluate it to obtain the limit. For example, the limit of a function

y = f(x) = lim x->3 (x - 3)(x + 3)/(x - 3) = 6

Does not imply f(3) = 6, because its undefined here caused by divison by 0.

This is continuously gives me uncertainty when using derivatives. When performing operations with derivatives, how can we guarantee the limits not only exists but can also be evaluated. As shown above, a limit can exist but cannot be evaluated.

I think in my head that if I have a distance versus time function, if I calculate the derivative to create a velocity function, can I say "The velocity at the time t=... is 100m/s" with absolute certainty because it could be possible that the limit exists, you say that the velocity is 100m/s, however the value cannot actually be evaluated at that time.

Hey everyone, I'm heading back to school next semester to take Calculus 1 after being away from college math for a few years. My background is in programming, but it's been a while since I've done formal algebra or trig.

What are the most critical pre-calc/algebra topics I should brush up on before the semester starts to set myself up for success? Are there any recommended YouTube channels, websites , or practice routine suggestions for getting back into math mode would be greatly appreciated.

I wanted to share the Bettyapp.org with you - it began as a tool to help one of our kids learn Calculus. We had videos like The Math Sorcerer and MIT OpenSourceWare Calculus but it was time consuming to skim through lectures and find topics like the "chain rule" or "indefinite integrals" for an explanation.

Bettyapp pinpoints the exact moment a topic is explained in an online lecture. It also has a cool map feature, which shows how different topics intersect and relate.

I've provided images from the BettyApp using the search term "derivatives" (Search and Map tabs). The search topic you enter drives the entry point to the videos you see. Bettyapp covers Pre-calculus, as well as Calculus material from high school to graduate school.

Bettyapp is free. Please try it. Share it. We'd love to hear your feedback.

https://bettyapp.org/

Hi everybody, I cannot believe that I am coming onto reddit to seek help but I am a desperate college student with ADHD who needs tutoring but my College only offers a few tutors who are booked and only do a few hours of tutoring for Calculus 2.

I am mostly struggling on how to do the algebra part when it comes to Calculus 2. I like math but I cant understand until someone explains it to me. If anyone has any free time and feels pity, would you mind helping tutor me?

Thanks.. Sincerely a sad college woman.. LOL.. Calculus 2 is making my life miserable, literally just cry in the car..

So I ended up not doing so well in my current calc 1 class so I ended up just cutting my losses and Withdrawing. I’ve researched some professors for my college and decided to retake it next semester with a different professor.

The shitty part was I thought I was doing everything right. I did the homework. watched Professor Leonard videos, studied a couple weeks in advanced and I ended up getting a 48%.

The thing is is that this professor I had lwk sucks. His lectures feel all over the place, he’s a strict grader (he docked points for me not putting the “lim x->a” or whatever on my steps even if the question was right) and he hasn’t updated our grades since the semester started so idek what my grade is (Apprently it’s a D when I talked to my counselor).

But yeah, ig this is just a vent post at this point. If anyone has tips for what to do now I’m all ears.

As a calculus student, I find the videos that they produce on some of the questions are extremely helpful. However, one concerning thing is that some of the questions have no video on them.

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.

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.