Just wanna say, as someone who hasn't taken calculus in a couple years and now finds himself registering for a class where calc is a prerequisite, this video is super useful as a refresher! Very clear and concise. Thank you!
Day 1: 1:04:14 - Limits all that good stuff Day 2: 2:09:27 - Derivatives and rate of change stuff Day 3: 3:14:26 - Thereoms, First And Second Derivative Tests Day 4: 4:18:14 - Antiderivatives + Integrals + Riemann's torture sum Day 5*: 5:22:15 - Integrals U-Sub + practice *day 10 actually since I had an exam on that topic but forgot to update😅
Absolutely amazing how you can pack so much info in a relatively small time (compared to most calc playlists) and yet be so clear. Great work, this video really saved me. Would love if you also did a similar one for calc 2!
Calc. 1 was easy, 3 was OK....2 was the calculus class from Hell, with all those integration methods. Then I took an elective, entitled "Numerical Methods for Scientists & Engineers," and I learned how to CHEAT :) Integrate? There are a dozen ways to get the NUMBER you want!
A quick reference for those who want to review certain portions: [Limits] 0:00 Limits and limit notation 5:38 Computing limits from a graph 8:37 Basic limits (Examples) (MORE EXAMPLES) 12:34 Find the limit as x approaches 2, of a rational function 14:52 Find the limit as x approaches 3 from the left, of the absolute value of x minus 3 over x minus 3 16:29 Find the limit as x approaches zero, of two radicals over x 19:34 Find the limit as x approaches 2, of a piecewise function 22:38 Find the limit as x approaches zero of sin(4x) over x [Continuity] 25:34 Continuity in general and, continuity at a point 34:06 Removable and Nonremovable discontinuities 42:42 Intermediate Value Theorem [Infinit Limits] 49:43 Infinit limits 57:33 Vertical Asymptotes [Derivatives] 1:04:12 What is a derivative? Yet to go through the rest.. (on a side note, PHENOMENAL work from our esteemed wizard)
This is amazing. For a month I was struggling with calculus, especially the continuity of a function. After only 5 minutes of your video I finally understood it. Thank you!
💪🏻💪🏻i'll do it too!! day 1: session 1: 34:00 session 2: 1:04:00 session 3: 2:34:00 session 4: 3:24:00 all day and this is where i'd reached😭😭😭😭 day 2: session 1: uptill 4:20:00
You man are legend, i missed out on my CAL classes due to covid and didnt know shit. But this thing is the only thing saving me. So detailed yet so easy.
@@arandomperson7811 If you want to get the basic idea and understanding behind calculus and learn why and how. Then this course if perfect. You ll still need to solve a few exercises by your own but god damn does he explain it simply as fuck. Worth watching 100% don't think about it twice
@@arandomperson7811 it's what you do in school, but compressed and simplified, if you watch the first few chapters you'll understand the concept. If you have a problem with mathematics... Give it a try
I found your channel with this video, you are a genius! I hope my professors at university explained things like you do. Thanks for all the time and effort you invested making this video! Greetings from south america!
brother you taught very effectively really i can't believe that i have understood all those boring things which i hated from my childhood since it was being taught. it had became fear for me to try to understand this which is gone now. again thank you buddy god bless you and your family.
I saw his channel grow from a humble 30k to now almost a million subscribers. I'm truly proud of the math sorcerer. He inspired me to challenge myself and I grew to love maths even more.
You make all of these concepts so easy to understand. I love your “no assumptions” way of teaching the concepts. It makes you feel like you’ve done it all before.🙏
So, I have decided I want to learn computer engineering and my bachelor's was in Global Studies and Linguistics, which never required upper mathematics. Calculus is required to learn computer engineering and hoo boy...I have been watching videos after videos trying to understand...but you get right into it, make it so easy and simple to understand...how can this be...calculus is understandable?!?! You're a superb teacher! Your UA-cam handle is very appropriate, Sir Math Sorcerer! x[)
It's an amazing video. Thank you very much for teaching this nicely 😊. It helped me a lot. I really enjoyed watching it. Hope your channel grows greatly.😄😊
Me in the middle of the night freaking out about an exam after 7days. I"m gonna comment before even watching this 5hr vid because there was a lot of effort that was put into this and you know what I'm getting a feeling that one day this video is gonna get a lot of views.
Just starting this video, so far the one of the best I've seen on youtube but... hope you took a few breaks this video is long! Hey, thanks so much man, coming back to this video to study for my calculus class I did online made learning this stuff without a teacher much less confusing. I appreciate you. Second edit: got a B+ in calc and I gotta say this video is probably the reason for that + (if nothing else)
B+ in university from this one video bro? really? i wanna get into engineering and i see all the smart ppl i know who had high 90s in high school fail in university math so im tryna learn this stuff early
@@TheMathSorcerer Sir I have question...I am currently doing math and I'm just doing calculus 1 for physics...am I doing it right as in the right order...? Where does trigonometry, calculus 2 etc come in.. It would be really nice if you would help me in this confusion..cuz I'm just randomly doing calculus 1 to help me in physics but I also want to learn math just to keep my mind agile..
hello, since you watched 40 minutes of it, would you mind telling me if its helpful and has actually benefited you? Please and thank you, i'd appreciate the response!
I watched one hour, planning to watch one hour every day. So I will finish it this week. And I understood almost everything, wow! You have a skill for teaching that is for sure. But I am human and I after watching one hour I only have one question, that in of itself is amazing. Question from: 15:50. Why can't X be 3? If it was 3 then the denominator would be 0, in which case DNE. So we have to try a different approach but I still don't get why it can't be 3. On that same note, why is there such a big difference when you approach from one side vs the other. What I mean is, you write that x>=0 but not x
32:29 - It's a piece wise function, so you can artificially make it as such: f(x) = { x , x>3 x, x = 0. It's a common convention followed in modulus (and yes I agree with you it's very confusing)
Bad choice of example in 13) Intermediate Value Theorem 47:05 because it doesn't meet the precondition that f(a) does not equal f(b). On your choice of [a,b] interval as [-10,10] and f(x) = x^2, f(a) = f(-10) = 100 = f(10) = f(b), and there is no possible k between them. You just made up an example on the fly, and you may have had something different in mind from what you ended up writing down. Why didn't this mistake break the theorem? Because your choice of k satisfies IVT twice for the intervals [-10,0] and [0,10] (you can replace the zero with any number less than 4 and greater than zero). Your choice of k as 4 works for each of those intervals, because it is between f(-10) and f(0), between 100 and 0 going down, and also between f(0) and f(10), between 0 and 100 going up. So IVT on the example interval is not what guarantees the existence of two values of c. The answers -2 and 2 do work for two different intervals that happen to concatenate to your example interval [a,b], but your actual example didn't provide information how to choose k, it has to be between 0 and 100.
This is absolutely amazing!! minor correction on the 'Intermediate Value Theorem' part, the [-10,10] example is incorrect to use for this specific theorem, because the theorem states that f(a) f(b), and both f(-10) and f(10) are 100. Thank you for this great content!!
I haven't taken Calculus 1 and 2 since high school, and have to take Calculus 2 for my major this upcoming semester. So, it's been over 2 years since I've taken a calculus course. Would watching this lecture (along with working through practices) be enough to prepare me for my upcoming Calculus 2 course?
@@TheMathSorcerer Thank you so much! This really helps me feel better going forward into this semester. By the way, are there any sites that you would recommend for practicing various components of calc 1?
@@jacobyounce3223 I'm in the same boat right now. Took Calc 1 a year and a half ago and I'm just now starting Calc 2. I've forgotten lots of the Calc 1 concepts. How did it go for you? Did this video help a lot?
Hey man I've got a question: When we are asked to find the relative extrema we are basically asked to find the min/max right? Now ,do we mean the local min/max or the total(extreme) min/max or both? And if both, how do we know which is which? Hope it makes sense.
Do u have the tutorial of piecewise function? (actually I am not sure how to find all minimum or maximum in traditional way) such as this (1+x*6.06)^2+4(1+x*8.09)^2-8(1+x*6.06)-16(1+x*8.09)-(0.1/((1+x*6.06)+(1+x*8.09)-5)+0.1/((1+x*6.06)-3)-0.1/((1+x*6.06))-0.1/((1+x*8.09))) if u copy it onto google search it gives u the plot Questions: 1.find all limit, minimum, inflection points, from the above function? 2.also define the difference between stationary and critical point 3.find all stationary points pleas walk through this please please please If u are able to do this question u pass this course remark no cheating with your graphic calculator or wolframalpha or any software
Yes for sure. The two most popular ones used now would be either the Stewart book or the Larson book. You could get older editions of both used fairly inexpensive.
@@TheMathSorcerer very nice I used stewart throughout my cal journey but then received a 200* edition of larson from my cousins and just fell in love with calculus again; ***he explains every step of the computations***
I remember in my first year of university, we covered everything we did in high school calculus in a single 3 hour class. (Really we did it in the first 2 hours and the 3rd hour was already new things) so I don't doubt that it could be done. I don't have the time to watch this right now but I'm interested to see your approach to this, and how much you are able to cover. This is a really interesting idea though.
I should add that in my case, first of all we had done about 2 months of formal limits work already, so once we introduced derivatives we started to fly by as we had so much ground work covered. Also i didn't take AP calculus, so the amount of stuff we actually covered in high school was apparently pretty limited.
Just wanna say, as someone who hasn't taken calculus in a couple years and now finds himself registering for a class where calc is a prerequisite, this video is super useful as a refresher! Very clear and concise. Thank you!
Day 1: 1:04:14 - Limits all that good stuff
Day 2: 2:09:27 - Derivatives and rate of change stuff
Day 3: 3:14:26 - Thereoms, First And Second Derivative Tests
Day 4: 4:18:14 - Antiderivatives + Integrals + Riemann's torture sum
Day 5*: 5:22:15 - Integrals U-Sub + practice
*day 10 actually since I had an exam on that topic but forgot to update😅
Did you do well?
@ waddup, 197/200 for college calc final
Need this for my next semester thank you
@@TigasBurat funny you say that! I just got the score I needed for calculus 1. I can attest that this indeed helped me😁
Absolutely amazing how you can pack so much info in a relatively small time (compared to most calc playlists) and yet be so clear. Great work, this video really saved me. Would love if you also did a similar one for calc 2!
Yeah I should do one for calc 2 that’s a good idea!!
@@TheMathSorcerer you havent done it T___T
@@TheMathSorcerer please do one for Calc 2 and Calc 3😭😭
Calc. 1 was easy, 3 was OK....2 was the calculus class from Hell, with all those integration methods. Then I took an elective, entitled "Numerical Methods for Scientists & Engineers," and I learned how to CHEAT :) Integrate? There are a dozen ways to get the NUMBER you want!
can u do it@@TheMathSorcerer
A quick reference for those who want to review certain portions:
[Limits]
0:00 Limits and limit notation
5:38 Computing limits from a graph
8:37 Basic limits (Examples)
(MORE EXAMPLES)
12:34 Find the limit as x approaches 2, of a rational function
14:52 Find the limit as x approaches 3 from the left, of the absolute value of x minus 3 over x minus 3
16:29 Find the limit as x approaches zero, of two radicals over x
19:34 Find the limit as x approaches 2, of a piecewise function
22:38 Find the limit as x approaches zero of sin(4x) over x
[Continuity]
25:34 Continuity in general and, continuity at a point
34:06 Removable and Nonremovable discontinuities
42:42 Intermediate Value Theorem
[Infinit Limits]
49:43 Infinit limits
57:33 Vertical Asymptotes
[Derivatives]
1:04:12 What is a derivative?
Yet to go through the rest.. (on a side note, PHENOMENAL work from our esteemed wizard)
update?
This is amazing. For a month I was struggling with calculus, especially the continuity of a function. After only 5 minutes of your video I finally understood it. Thank you!
the video is 5 hours
Day 1: 58:24 Day2: 1:34:11 Day3: 1:55:52 Day4: 2:14:22 Day5: 3:00:59 3:35:00
5:02:25 day 13: 5:22:00🎉🎉
Good job man!🎉
💪🏻💪🏻i'll do it too!!
day 1:
session 1: 34:00
session 2: 1:04:00
session 3: 2:34:00
session 4: 3:24:00
all day and this is where i'd reached😭😭😭😭
day 2: session 1: uptill 4:20:00
is this video good for first timer bro
Keep it up bro🎉🎉 , i must finish Calculus I in two weeks you gave me courage
I have a calculus placement exam due today and this is helping me a lot in reviewing and relearning important topics. Thank you
Good luck on your exam😀
I am a member of this channel since I saw this video, which is a really good one. I hope your channel grows up. Keep going!
Thank you so much! I remember making this video it took so long lol.
Thank you for giving such a great review of a cal 1. I am in Cal 2 right now and I haven’t taken cal 1 since two years ago this help me remember a lot
Was this video able to help you pass calculus 2? I'm in the same boat right now
@@sparx.mp3716 haha me too
You man are legend, i missed out on my CAL classes due to covid and didnt know shit. But this thing is the only thing saving me. So detailed yet so easy.
4:25:27 No bro, you are the cool one here. You made me LEARN and LIKE calculus. I couldn't thank you enough!
how good did this cover calc
@@arandomperson7811 If you want to get the basic idea and understanding behind calculus and learn why and how. Then this course if perfect. You ll still need to solve a few exercises by your own but god damn does he explain it simply as fuck. Worth watching 100% don't think about it twice
@@Rwko. thanks, also is this video like really basic compared to what u do in school
@@arandomperson7811 it's what you do in school, but compressed and simplified, if you watch the first few chapters you'll understand the concept. If you have a problem with mathematics... Give it a try
This video was incredibly beneficial. I have a final coming up and needed help. I appreciate this so much. Keep doing great things. Thanks.
I'm so glad!
Never was "smart enough" to be in the calculus track in high school or college. Now, I am supplementing this with Larson 10e. Thank you!
I found your channel with this video, you are a genius! I hope my professors at university explained things like you do. Thanks for all the time and effort you invested making this video! Greetings from south america!
Saludos !
brother you taught very effectively really i can't believe that i have understood all those boring things which i hated from my childhood since it was being taught. it had became fear for me to try to understand this which is gone now.
again thank you buddy god bless you and your family.
❤️
I saw his channel grow from a humble 30k to now almost a million subscribers. I'm truly proud of the math sorcerer. He inspired me to challenge myself and I grew to love maths even more.
You make all of these concepts so easy to understand. I love your “no assumptions” way of teaching the concepts. It makes you feel like you’ve done it all before.🙏
So, I have decided I want to learn computer engineering and my bachelor's was in Global Studies and Linguistics, which never required upper mathematics. Calculus is required to learn computer engineering and hoo boy...I have been watching videos after videos trying to understand...but you get right into it, make it so easy and simple to understand...how can this be...calculus is understandable?!?! You're a superb teacher! Your UA-cam handle is very appropriate, Sir Math Sorcerer! x[)
Great explanation on limit and derivatives at the start of the video.
Thank you!!!
You have a natural ability to teach. Really good work here, thank you for putting this up.
I agree. He's very concise and lucid in his explanations.
You should do this but for Calculus 2! Thank you so much for this content
yes I should:)
When we can see calculus 2?
@@TheMathSorcerer please see 😭 I'm dying here
@@TheMathSorcerer I would love this!! This would help me so much; please consider it!! Thank you for your help-- you explain things so well!!
It's an amazing video. Thank you very much for teaching this nicely 😊. It helped me a lot. I really enjoyed watching it. Hope your channel grows greatly.😄😊
Lol
"I ate some pie... and it was delicious." Clever lol
LOL
on the shirt for anyone who didnt understand
Me in the middle of the night freaking out about an exam after 7days. I"m gonna comment before even watching this 5hr vid because there was a lot of effort that was put into this and you know what I'm getting a feeling that one day this video is gonna get a lot of views.
Just starting this video, so far the one of the best I've seen on youtube but... hope you took a few breaks this video is long!
Hey, thanks so much man, coming back to this video to study for my calculus class I did online made learning this stuff without a teacher much less confusing. I appreciate you.
Second edit: got a B+ in calc and I gotta say this video is probably the reason for that + (if nothing else)
Hey did this video really help that much? I really need to pass my course and am afraid
B+ in university from this one video bro? really? i wanna get into engineering and i see all the smart ppl i know who had high 90s in high school fail in university math so im tryna learn this stuff early
@@abdulkhaliq297 did it help you?
@@howdyeden I didn't watch it
Great video! Helped me relearn calc really quickly.
The only thing is that erasing the board with your hand hurts my soul.
Correction at 55:15
The denominator should be 3.99 - 4 instead of 3.99 - 1
Thanks a lot, all I have to do now is find questions to the lessons
Underrated...sir..You are so good.
thank you, it's my first time doing calculus.
Thank you 👍
@@TheMathSorcerer Sir
I have question...I am currently doing math and I'm just doing calculus 1 for physics...am I doing it right as in the right order...?
Where does trigonometry, calculus 2 etc come in..
It would be really nice if you would help me in this confusion..cuz I'm just randomly doing calculus 1 to help me in physics but I also want to learn math just to keep my mind agile..
40:00 timestamp for personal use
hello, since you watched 40 minutes of it, would you mind telling me if its helpful and has actually benefited you? Please and thank you, i'd appreciate the response!
@@skeletor943 ya it's definitely useful for me
@@skeletor943 yes its useful
I watched one hour, planning to watch one hour every day. So I will finish it this week. And I understood almost everything, wow! You have a skill for teaching that is for sure. But I am human and I after watching one hour I only have one question, that in of itself is amazing.
Question from: 15:50. Why can't X be 3?
If it was 3 then the denominator would be 0, in which case DNE. So we have to try a different approach but I still don't get why it can't be 3. On that same note, why is there such a big difference when you approach from one side vs the other. What I mean is, you write that x>=0 but not x
32:29 - It's a piece wise function, so you can artificially make it as such:
f(x) = { x , x>3
x, x = 0. It's a common convention followed in modulus (and yes I agree with you it's very confusing)
Great video. Helped me a lot to prepare for my upcoming exam.
Awesome!!
Bad choice of example in 13) Intermediate Value Theorem 47:05 because it doesn't meet the precondition that f(a) does not equal f(b). On your choice of [a,b] interval as [-10,10] and f(x) = x^2, f(a) = f(-10) = 100 = f(10) = f(b), and there is no possible k between them. You just made up an example on the fly, and you may have had something different in mind from what you ended up writing down.
Why didn't this mistake break the theorem? Because your choice of k satisfies IVT twice for the intervals [-10,0] and [0,10] (you can replace the zero with any number less than 4 and greater than zero). Your choice of k as 4 works for each of those intervals, because it is between f(-10) and f(0), between 100 and 0 going down, and also between f(0) and f(10), between 0 and 100 going up. So IVT on the example interval is not what guarantees the existence of two values of c. The answers -2 and 2 do work for two different intervals that happen to concatenate to your example interval [a,b], but your actual example didn't provide information how to choose k, it has to be between 0 and 100.
well i like long lectures i enjoy it and this was definately the feast for me thank you so much❤🧡
Haha awesome
@@TheMathSorcerer I would love If you do another lecture like this on calculus please
This is absolutely amazing!! minor correction on the 'Intermediate Value Theorem' part, the [-10,10] example is incorrect to use for this specific theorem, because the theorem states that f(a) f(b), and both f(-10) and f(10) are 100.
Thank you for this great content!!
Wow You are ngl the best teacher ive ever seen so far
Thx👍
Wow thanks for the summary of Calculus today is the birthday of Calculus 🥳🥳🥳
Finished the full video in 2 settings! Thanks so much for the content! I already bought a lot of your content on udemy!
If I knew about this video I would watched it a long time ago.
Thanks you very much
Glad it was helpful!
The old good time ❤ Thnx for the refresher.
You're a lifesaver!
You are welcome!
This got recommended to me exactly 7 minutes after I finished my Calc 1 final.
Lol!!
Very good and straight to the point! Thank you!
thanks a lot you're a saviour
i am actually studin for my JEE exam, so i am not sure how much helpful this would be but given that i wanna study i'll give this a try now
Very well explained and put together, thank you for such an awesome course!
Thank you sir.very informative and compact.
You live up to your name. Thank you
👍
If x gets further away from c then does f(x) also gets further away from L?
I guess we are doing this. Gonna push myself to my limits haha
20:02 Day 1
Thank u for your social service.
I haven't taken Calculus 1 and 2 since high school, and have to take Calculus 2 for my major this upcoming semester. So, it's been over 2 years since I've taken a calculus course.
Would watching this lecture (along with working through practices) be enough to prepare me for my upcoming Calculus 2 course?
Ya it should help a ton since this lecture touches on all of the main concepts
@@TheMathSorcerer Thank you so much! This really helps me feel better going forward into this semester. By the way, are there any sites that you would recommend for practicing various components of calc 1?
@@jacobyounce3223 I'm in the same boat right now. Took Calc 1 a year and a half ago and I'm just now starting Calc 2. I've forgotten lots of the Calc 1 concepts. How did it go for you? Did this video help a lot?
@@mattbuckk Same here bruh ; - ;
@@mattbuckk did you watch the video and did it help?
Great content ! Very easy to learn/refresh concepts. Keep it going
I have several of your Udemy courses. I love them.
You explained Newtons Method so damn well
Sir, a big respect to you! Thank you very much for this.
at 55:10, I believe you meant to write 3.99 - 4 not 3.99-1. Please correct me if I'm wrong.
Fr
Thank you so much! Amazing teacher!
This is awesome; thank you so much!
you are welcome!
day 1: 39:29
Great performance. Thanks a lot. But what about Calculus 2 video , would you help us next?
Sure
At 2:12:00, can we just consider y^4 as constant since we are taking derivative with respect to x?
dude the captions!! im not native in english!! would be of great benefit bro!!
Hello sir, I was just wondering if you could possibly upload a video on Fourier Series. Thanks in advance. Appreciate it.
is this EVERYTHING i would need to know to be able to do calculus? like this video covers everything right?
Hmm ya I think so...it touches on everything I think. Obviously you would need more practice but it does do everything I think lol.
Someone is really lazy to study the entire course lol
@@TalsonHacks I'm not lazy, just a simple question. Lol
@@sexyqueen4481 hope you got your answer lol. Study well and best of luck 😉
@@TalsonHacks thank you!!! you too!
Thank you.
you are welcome!
Hey! I'm taking precalc rigt now and I wanna learn calculus over the summer. Can I just learn calculus 1 or are there any prerequisites
Thank you so much for this video
Thank you sir 😍❤️
❤️
I cannot thank you enough for this
Excellent work. Please share the link for one complete video (full course) for calculus 2
It's not done yet, but I will make it👍
@@TheMathSorcerer Thank you. Looking forward to it. Let me know once its done
I wana learn some calculus and linear algebra to beter understand data analysis what all would I have to understand for tht
Why do we have calculus 1,2,3 I don't get it PLZZ tell me
Ya I don't know actually, maybe it's because they can't fit it all into one course. I think some schools have calculus 4!
@@TheMathSorcerer cool
@@TheMathSorcerer yes we had calc1,2 advenced calc1,2 totally 4 calc classes and my friend from another university has analysis1,2,3,4
Haha , I wanted to do such a video! Stole my idea from my stomach , damnit👍👍👍
Lol
hey @The Math Sorcerer do you have a similar video on calculus two or can you please make one?
I can and I will, soon I hope! I am working on a udemy course for calc 2 currently(almost done!), then will focus on this.
Very ,very helpful
It s nice to see you at the white board. But voice is less clear there
yeah these are older videos, with a cheap microphone and my old phone, not as good quality
@@TheMathSorcerer thank you
I will comment after going through the lecture.
👍
Thanks a lots
48:40 mins f(a) =f(b) i may be wrong but i did not understand
f(-10) = (-10) ^2 =100
f(10) = 10^2 = 100
in simpson, the coeff pattern is 1,4,2,4,2,4,2,....4,1 right? if yes, then the first example problem has wrong solution I guess.. kindly clarify
can you please recheck the example as im getting 16/3 using simpson rule.. and also for 4f(3/2), 3/2 hasn't been cubed while solving..
@@SandhyaCs2101 yes I forgot to cube the 3/2, thank you!!!!!!
for proofs, why do you add a square with an x inside?
I used to have a professor who would finish his proofs with that symbol and he was an excellent professor so it just kind of stuck😄
@@TheMathSorcerer I only use a square 😃
how much ap calculus ab is covered here
Thank you sir god bless
Chance you can make this video again for Calc II & III?
Yeah I should totally do that!! Thank you for posting this!
@@TheMathSorcerer Thank YOU! For everything. You're the best out here
thank you!!
Thank you for this video.
Love from India
:)
I feel like this is really good I just can’t keep up.
Do You have a calc 2 vid? Brou .. thanks for this one
I don't nope
Hey man I've got a question: When we are asked to find the relative extrema we are basically asked to find the min/max right? Now ,do we mean the local min/max or the total(extreme) min/max or both? And if both, how do we know which is which? Hope it makes sense.
also when you find the concavity, do you say its concavity up for (a,b) or [a,b] ? same question for the increasing/decreasing.
your awesome dude!!
totally agree!
Do u have the tutorial of piecewise function?
(actually I am not sure how to find all minimum or maximum in traditional way)
such as this
(1+x*6.06)^2+4(1+x*8.09)^2-8(1+x*6.06)-16(1+x*8.09)-(0.1/((1+x*6.06)+(1+x*8.09)-5)+0.1/((1+x*6.06)-3)-0.1/((1+x*6.06))-0.1/((1+x*8.09)))
if u copy it onto google search it gives u the plot
Questions:
1.find all limit, minimum, inflection points, from the above function?
2.also define the difference between stationary and critical point
3.find all stationary points
pleas walk through this please please please
If u are able to do this question u pass this course
remark no cheating with your graphic calculator or wolframalpha or any software
Plz do a video like "U can learn calc 2 in one video"
LEGEND
Do more vedios like this maths for data science 😅 just a request if u have time to spare do put some effort into that
A supplementary book would go a long way with this. Any suggestions?
Yes for sure. The two most popular ones used now would be either the Stewart book or the Larson book. You could get older editions of both used fairly inexpensive.
larson >>> stwewart
@@dragosmanailoiu9544 ya I use Larson to teach actually
@@TheMathSorcerer very nice I used stewart throughout my cal journey but then received a 200* edition of larson from my cousins and just fell in love with calculus again; ***he explains every step of the computations***
What about Spivak? I love it
thank u so much sir ;)
you are welcome!
Thank you!
I remember in my first year of university, we covered everything we did in high school calculus in a single 3 hour class. (Really we did it in the first 2 hours and the 3rd hour was already new things) so I don't doubt that it could be done.
I don't have the time to watch this right now but I'm interested to see your approach to this, and how much you are able to cover. This is a really interesting idea though.
I should add that in my case, first of all we had done about 2 months of formal limits work already, so once we introduced derivatives we started to fly by as we had so much ground work covered. Also i didn't take AP calculus, so the amount of stuff we actually covered in high school was apparently pretty limited.
Still that's a lot in one lecture!!
Porfavor en español no entiendo