This section is the hardest section in calculus 1. It's not really that hard after you know how to do it, but at the beginning it feels like rocket science.
I’m crying right now. It’s 6:30 am and I’ve been up since 2:30 because I couldn’t fall back asleep due to nerves from having a math test I don’t know two shits about. I’ve been watching your videos for the past hour and a half and I actually understand. For having slept 7 hours within the last 48 hours, thank you from a mentally and physically exhausted scatterbrained 17 year old. Seriously- thank you!
Khan academy is actually a better teacher in certain aspects. Ngl organic chem tutor is good to just know how to solve the question. Khan academy dives a lot deeper into the concept and that isn’t rlly required for chem and math
@06:35 origin and moving point on graph @11:08 radius of circle is decreasing. How fast is area and circumfuses changing given radius. @16:07 Surface area of a ball decreases at a rate. How fast is diameter changing given radius @19:46 side length of square increases at rate, how fats is area and perimeter changing given side length @23:20 balloon filled with gas at rate, how rate of raidus given radius @27:11 side length of cube increasing at rate, what is rate of surface area and volume given side length @31:11 ladder leaning against house. Slides down wall with rate @46:12 gravel is being dumped at a rate forming a concial pile whos base is 2x height . How fast is height changing given height. @54:48 water is leaking out conical tank at rate, given height and raidus
This video alone is saving me. I mean, almost every single one of his videos are amazing, but related rates in particular is so difficult to wrap my mind around, and the fact that he included so many examples, is a blessing for real. My teacher only showed us 3 examples, which was really great, but then the homework had examples we hadn't covered yet, and there are so many ways these problems can be written, I'm so glad he went over all these different types. Sincerely, thank you so much.
out of all the tactics i have tried, there's only one tactic that worked for me, and that tactic is YOU!!!!, you are so good!!!! at your work, thank you so much
1:19:05 The values of x and y should be switched. x = 120 miles and y = 90 miles since dx/dt = 40 mph (going east) and dy/dt = 30 mph (going north). This makes dz/dt = 50mph. Overall a really great video that helped me understand related rates a lot better. Thank you!
This section proved more difficult than anything else I had done up to this point in math. Really struggled with the concepts. But after about a week of obsessive studying and watching this video at least 3 times it is actually easy for me now! It’s crazy how once something clicks and makes sense it seems so simple that you wonder how you didn’t understand it from the beginning. Thanks as always for your content.
It's been a minute since I learned these early calculus concepts and it feels so good to understand this concept so easily now since it was a confusing nightmare when I first learned it lol. As always, OCT deserves a Nobel Prize for the number of stem graduates he's produced since he started this channel.
By far, he has to be the best when it comes to teaching Calculus. A lot of other teachers failed to explain the concept or take things from ground up. But he explains everything very CLEARLY.
THANK YOU SO MUCH!!! I've literally had problems understanding this my entire life just because none has explained it to me the way you did!! You made it finally feel logical and easy and it's working on all problems I'm applying this to! Thank you from the bottom of my heart!!! Gonna become a construction engineer just because I watched your videos!!!
Can't thank you enough man. This stuff just wasn't clicking for me, but I get it pretty well now. Watched the entire video, and I'll check out some of your others as well. Great job.
The Organic Chemistry Tutor is doing a great job. I encourage all Calculus students to watch this great assortment of work of his that he has laid out for us all.
Undergraduate math student here. When I was taking AP Calculus AB back in high school this was the hardest topic that I encountered in the whole course.
The best part about your videos, is that every time I have watched the full video, I have left completely understanding. This lets me learn in peace, knowing that everything will be fine afterwards. What's really great is that I can watch any video of any subject I haven't studied yet, and then know the mathematics for solving the problems before ever even approaching the subject at university. They're that clear.
Hello sir, I appreciate your videos a lot. I am a chemistry major so I have to take multiple levels of calculus and chem. Your videos have allowed me to pass calculus and ace multiple chemistry exams. I wish my professors could explain concepts as well as you do. Thank you for allowing me to be very successful in college.
Every time I watch my teacher's lecture videos I am so confused but then I watch your videos and it all makes sense. Corona made college impossible but now I think I can make it through online college!!
College teacher teaches like if you already learn everything u need to learn for learning this unit. This guy teaches assuming us didn’t do to well in the previous year about the course and point out every possible problems we might have as a beginner which is so awesome!
I keep praying for you every time you save my grade. I couldn't know what to do in calculus without you. I like your voice and the way you explain lessons. many Thanks for helping the student to learn a lot.
This video was definitely a life saver, didn't understand this a tap after class and rewatching the class recording, but came here and wow thank you is an understatement!
I can fully understand this section now, just two days ago I had no idea what my instructor was explaining to us. Your videos are a total game changer, thanks!
Thank You, sir, for your help. I wish my math teacher could explain half of this in the class... As many said it already, you, indeed, are a life saver.
One thing I noticed at 1:21:00 you used the wrong variables. 90 should be multiplied by 30, and 120 by 40. This would change your final answer to be 50 mph, not 48.
Dude... thank you so much. I thought this impossible but this video made me realize it actually makes complete intuitive sense. For anyone struggling, just follow along with the first few problems and then they get real easy.
I was relieved to find I am able to solve these problems in the video successfully after pausing the video when the problem is introduced. I've found that there can be several specific paths to the right answer, all of which are mathematically correct, but can cause some confusion and frustration for those starting out with this section of Calculus I. This is a section that takes a lot of practice to fully grasp and thank goodness for videos like these.
i remember in my last semester before i started Organic Chemistry tutor i had only 24 out of 50 and i needed a B at least in my overall score, then i began watching your videos and i had about 84 out 100 in my exams, i should have gotten about 90 and above but i made silly mistakes but i was grateful to God for your videos and intelligence and i eventually made a B, if i had watched your videos earlier i would definitely make an , from Chemistry to maths and to Physics your videos have been very helpful, in class i dont worry too much if i dont understand cos i have an excellent tutor at home, so happy to have met you on this platform. thanks
You are a life saver, the way you put helps me formulate what i need to do and then its just algebra with derivatives. This is gonna save me on my AP calc test tomorrow
I cannot thank you enough for your dedication to teaching. I haven't studied math formally beyond GCSE level, which in the UK ends at 16. I continued biology and chemistry at A level (aged 17-18 years). I undertook a bachelor's degree in biomedical science, then worked for a few years toying with the idea of studying medicine. I finally realised my passion lies in questions and not answers, and thus decided to embark on the journey to become a research scientist. I am now studying an MRes in Regenerative medicine and devices, which is essentially synonymous with biomaterials and tissue engineering. I realise that to become a successful scientist, I must improve my mathematical reasoning and advance my knowledge base. Through your videos, I have progressed beyond what I thought I was capable of. I study in my own way, opting for practice problems over lectures - I learn the concepts through mistakes in practice problems as data shows the yield for learning is rather high in this manner and retention of concepts can be improved. I had never studied this topic before yesterday, and now at 52 minutes into the video, I have made enough mistakes to successfully complete the inverted conical flask question without assistance relying on my own logical reasoning and employing the rules picked up from previous problems and other videos. I feel so happy to be able to apply these concepts to solve real-world problems. It's also been rather fun to go backwards after videos and learn the theory after learning to apply the rules - it seems to make sense faster and consolidate what has been learned. Honestly - thank you, mate.
I'm on Calc 2 now but I came back here to thank you from the bottom of my heart. I almost got a perfect score on the finals because of you. I just cannot believe it to this day LOL. As I'm typing this comment, you're still saving my ass on Calc 2 with your videos. You're a legend
watching these videos really help me review a lot! I found out that reviewing online with videos, then checking if I did it right or wrong is the best way for me to learn. Thanks again
Thank you so much. I has been so confused over the last few days in calculus and this helps a shit ton. I'm probably going to watch the full hour and 50 min cuz of how worried I am about my test
At this point I am going to have to make a special dedication to you on my degree. I have been using your videos all through calc 1 and they have really been helping. Thank you so much.
Just learned this in class and had no fucking idea what my teacher was saying. All my classmates were like “Oh! I get it!” But I was completely dumbfounded. Thank you, really.
The fact that you've significantly helepd thousands of students, makes you incomparable to those who have latin honors out there. You're something special Bro.
Thank you sooo much!! My uni professor is very good but with this topic in particular I had difficulty but it took only the first 12 minutes to actually get a neat understanding
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
This section is the hardest section in calculus 1. It's not really that hard after you know how to do it, but at the beginning it feels like rocket science.
i find limits, intergrals/anti derivatives and optimization to be harder
Integrals is Calc II
Wait really. Jeez. IB HL Math is going to make uni calc a breeze.
Hard integrals are calc 2, we just learned usub in my calc 1 class and Riemann sums
ruby_kid I’m in ap calc n he teaches it’s basically calc bc bc the whole second semester is u sub, ip, n integrals
I’m crying right now. It’s 6:30 am and I’ve been up since 2:30 because I couldn’t fall back asleep due to nerves from having a math test I don’t know two shits about. I’ve been watching your videos for the past hour and a half and I actually understand. For having slept 7 hours within the last 48 hours, thank you from a mentally and physically exhausted scatterbrained 17 year old. Seriously- thank you!
How did it go?
Actually i feel
every word you wrote iam the same 😢😢😢😢
@@ahmedmurtazamalik it probably went terrible tbh, not trying to bring them down but they were ill prepared. Not necessarily their fault though
i can't believe you do chemistry, physics, and calc!!! is there anything you don't know? thank you so much you're a gpa saver!!!!!
he does biology now
He doesn't do programming or Data Structures and Algorithms :/
@@scottwillard7998 Yea, but it wouldn't but much of a jump for him at this point. Programming is based off math.
@@scottwillard7998 He does, he has a separate youtube channel called TheNewBoston. He does c++, c#, java, etc
@@dranoc5879 they're not the same channel are they? Two totally different voices
you know that feeling when you find this the day before the exam and you wish you found it sooner?
literally me right now
Yoooo I found this 7 hours before my finals
Major final tomorrow, I'm crying bittersweet tears
YOOOOOO LITERALLY ME right now 1 HOUR BEFORE the finals. I hate myself
Faith Manalo did it help?
Organic Chemistry Tutor deserves an award. His help with literally every subject is unmatched. Before you mention khan academy, they are incomparable.
IKR khan is very shitty
Khan academy is actually a better teacher in certain aspects. Ngl organic chem tutor is good to just know how to solve the question. Khan academy dives a lot deeper into the concept and that isn’t rlly required for chem and math
I personally prefer organic chemistry over khan academy
let me be honest OCT is far better than Khan.
@06:35 origin and moving point on graph
@11:08 radius of circle is decreasing. How fast is area and circumfuses changing given radius.
@16:07 Surface area of a ball decreases at a rate. How fast is diameter changing given radius
@19:46 side length of square increases at rate, how fats is area and perimeter changing given side length
@23:20 balloon filled with gas at rate, how rate of raidus given radius
@27:11 side length of cube increasing at rate, what is rate of surface area and volume given side length
@31:11 ladder leaning against house. Slides down wall with rate
@46:12 gravel is being dumped at a rate forming a concial pile whos base is 2x height . How fast is height changing given height.
@54:48 water is leaking out conical tank at rate, given height and raidus
respect bro 😎
gods work 🙏
You saved me so much time
Thanks broski 😘
Legend
This video alone is saving me. I mean, almost every single one of his videos are amazing, but related rates in particular is so difficult to wrap my mind around, and the fact that he included so many examples, is a blessing for real. My teacher only showed us 3 examples, which was really great, but then the homework had examples we hadn't covered yet, and there are so many ways these problems can be written, I'm so glad he went over all these different types. Sincerely, thank you so much.
my teacher showed 1 example and that's it lmao xed
True
out of all the tactics i have tried, there's only one tactic that worked for me, and that tactic is YOU!!!!, you are so good!!!! at your work, thank you so much
me sitting down crying before starting this video with a calc test in 5 hours not ready for it
literally me rn 💀
@@avneettoor1103 literally me rn
Me rn💀
LOL
me rn omfg
1:19:05 The values of x and y should be switched. x = 120 miles and y = 90 miles since dx/dt = 40 mph (going east) and dy/dt = 30 mph (going north). This makes dz/dt = 50mph. Overall a really great video that helped me understand related rates a lot better. Thank you!
Yeah
I noticed that mistake 😅
But he(or she) is a great smart person 😅
Yep made me check again 😆
she?????????????? @@Slayest_doctor
lol hey you never know what gender someone identifies as. jk but in all seriousness it is a black dude @@PrivacyTerms911
I knew it, thought I was wrong 😅
You gave me the highest grades in my chemistry class last semester, so I was tremendously excited to see that you do calculus as well.
Andrew Martinez sana all
This section proved more difficult than anything else I had done up to this point in math. Really struggled with the concepts. But after about a week of obsessive studying and watching this video at least 3 times it is actually easy for me now! It’s crazy how once something clicks and makes sense it seems so simple that you wonder how you didn’t understand it from the beginning. Thanks as always for your content.
It's a great feeling once gained knowledge clicks and becomes second nature.
It's been a minute since I learned these early calculus concepts and it feels so good to understand this concept so easily now since it was a confusing nightmare when I first learned it lol.
As always, OCT deserves a Nobel Prize for the number of stem graduates he's produced since he started this channel.
I'm literally sitting in calc ignoring my shit teacher and watching this.
know those ones man
@@damienfernando1553 fr, I'm here re learning this for finals cause my calc teacher did fuck all over this chapter.
Bro I sit in class and draw in my notebook cuz I haven’t known how to do these this whole week
I guess we are all the same but my situation is my professor didnt attend 7 consecutive meetings lol
I skipped all of my calculus courses and watching this.
I will forever and ever be thankful for your existence in our world, may god bless your beautiful soul.
Best video I have seen on derivatives and related rates by a huge margin. Clear, concise and easy to understand. Thank you. Outstanding!
By far, he has to be the best when it comes to teaching Calculus. A lot of other teachers failed to explain the concept or take things from ground up. But he explains everything very CLEARLY.
the first few minutes of this video finally made me understand implicit differentiation. very good stuff
the hardest part is finding out what you need to find and forming the functions
Agreed
THANK YOU SO MUCH!!! I've literally had problems understanding this my entire life just because none has explained it to me the way you did!! You made it finally feel logical and easy and it's working on all problems I'm applying this to! Thank you from the bottom of my heart!!! Gonna become a construction engineer just because I watched your videos!!!
Can't thank you enough man. This stuff just wasn't clicking for me, but I get it pretty well now. Watched the entire video, and I'll check out some of your others as well. Great job.
The Organic Chemistry Tutor is doing a great job. I encourage all Calculus students to watch this great assortment of work of his that he has laid out for us all.
Undergraduate math student here. When I was taking AP Calculus AB back in high school this was the hardest topic that I encountered in the whole course.
The best part about your videos, is that every time I have watched the full video, I have left completely understanding. This lets me learn in peace, knowing that everything will be fine afterwards.
What's really great is that I can watch any video of any subject I haven't studied yet, and then know the mathematics for solving the problems before ever even approaching the subject at university. They're that clear.
Hello sir,
I appreciate your videos a lot. I am a chemistry major so I have to take multiple levels of calculus and chem. Your videos have allowed me to pass calculus and ace multiple chemistry exams. I wish my professors could explain concepts as well as you do. Thank you for allowing me to be very successful in college.
Every time I watch my teacher's lecture videos I am so confused but then I watch your videos and it all makes sense. Corona made college impossible but now I think I can make it through online college!!
College teacher teaches like if you already learn everything u need to learn for learning this unit. This guy teaches assuming us didn’t do to well in the previous year about the course and point out every possible problems we might have as a beginner which is so awesome!
@@jichanglin654 I agree totally with you.
Dude you are the tutor GOD this lecture is awesome practically covered everything related rates.
I keep praying for you every time you save my grade. I couldn't know what to do in calculus without you. I like your voice and the way you explain lessons. many Thanks for helping the student to learn a lot.
you saved both my chemistry and calculus! Love you !
I never skip your commercials bro, I want you to get all the money.
This video was definitely a life saver, didn't understand this a tap after class and rewatching the class recording, but came here and wow thank you is an understatement!
I can fully understand this section now, just two days ago I had no idea what my instructor was explaining to us.
Your videos are a total game changer, thanks!
You're hot
You explain this SO well. I was completely confused in my classes, but this video makes so much sense.
You are amazing! Literally saved me from failing my exams! God bless you!
Thanks.
Legit don’t learn anything from my teachers but one 1 hour video from this guy teaches me everything it takes a teacher to do in a week
Thank You, sir, for your help.
I wish my math teacher could explain half of this in the class...
As many said it already, you, indeed, are a life saver.
One thing I noticed at 1:21:00 you used the wrong variables. 90 should be multiplied by 30, and 120 by 40. This would change your final answer to be 50 mph, not 48.
I also noticed this one haha. Its good to double check hehe but still thanks to the video.
I thought I was wrong when he didn't correct it, but I am still glad this guy is here, he has been a huge help
same I got confused lol but he is a great teacher tbh
same situation, got confused but still got the overall thought
agreed
Dude... thank you so much. I thought this impossible but this video made me realize it actually makes complete intuitive sense. For anyone struggling, just follow along with the first few problems and then they get real easy.
Yet another night before an exam this guy restores my hope. Thank you for your vids; my GPA wouldn't make it without you
*This man taught me more about related rates in 2 hours then I could've ever imagined, thank you bro*
My cal final is literally tomorrow. ❤️ this video saves my life
I was relieved to find I am able to solve these problems in the video successfully after pausing the video when the problem is introduced. I've found that there can be several specific paths to the right answer, all of which are mathematically correct, but can cause some confusion and frustration for those starting out with this section of Calculus I. This is a section that takes a lot of practice to fully grasp and thank goodness for videos like these.
i remember in my last semester before i started Organic Chemistry tutor i had only 24 out of 50 and i needed a B at least in my overall score, then i began watching your videos and i had about 84 out 100 in my exams, i should have gotten about 90 and above but i made silly mistakes but i was grateful to God for your videos and intelligence and i eventually made a B, if i had watched your videos earlier i would definitely make an , from Chemistry to maths and to Physics your videos have been very helpful, in class i dont worry too much if i dont understand cos i have an excellent tutor at home, so happy to have met you on this platform. thanks
i just had a related rates quiz today, and your video literally saved my grade!! thank you:)
I love you so much Organic Chemistry Tutor
Thank you so much! this video is so much better than my proffessors, btw at 1:18:50 I think you might have mixed up x and y. Thanks again
Yeah he did mix them up.
yupp
I literally came to the comment section to post this same thing. Glad I wasn't going crazy. Changes the answer to 50.
i was losing my mind thank you
i was just checking comment to see if anyone noticed or if im tripping lol
This video deserves more views. Thank you so much
omg thank you so much for this, i can literally pass my exam tomorrow for sure
Related rates were challenging for me but you made it seem simple which helped me ace my midterm😊😊
You are a life saver, the way you put helps me formulate what i need to do and then its just algebra with derivatives. This is gonna save me on my AP calc test tomorrow
I cannot thank you enough for your dedication to teaching. I haven't studied math formally beyond GCSE level, which in the UK ends at 16. I continued biology and chemistry at A level (aged 17-18 years). I undertook a bachelor's degree in biomedical science, then worked for a few years toying with the idea of studying medicine. I finally realised my passion lies in questions and not answers, and thus decided to embark on the journey to become a research scientist. I am now studying an MRes in Regenerative medicine and devices, which is essentially synonymous with biomaterials and tissue engineering. I realise that to become a successful scientist, I must improve my mathematical reasoning and advance my knowledge base. Through your videos, I have progressed beyond what I thought I was capable of. I study in my own way, opting for practice problems over lectures - I learn the concepts through mistakes in practice problems as data shows the yield for learning is rather high in this manner and retention of concepts can be improved. I had never studied this topic before yesterday, and now at 52 minutes into the video, I have made enough mistakes to successfully complete the inverted conical flask question without assistance relying on my own logical reasoning and employing the rules picked up from previous problems and other videos. I feel so happy to be able to apply these concepts to solve real-world problems. It's also been rather fun to go backwards after videos and learn the theory after learning to apply the rules - it seems to make sense faster and consolidate what has been learned. Honestly - thank you, mate.
Thank you for this lesson you made related rates so much easier for me.
I honestly love you, passing calculus and i'm kinda of liking it too :))
you are the best! Seriously carried me through grade 12 chem and now making things crystal clear in first year calc!
I'm on Calc 2 now but I came back here to thank you from the bottom of my heart. I almost got a perfect score on the finals because of you. I just cannot believe it to this day LOL. As I'm typing this comment, you're still saving my ass on Calc 2 with your videos. You're a legend
this is literally so easy omg, i really appreciate your way of teaching, you teach in a really simple manner. thank you so much!
This is a great channel to get better understanding for math topics
watching these videos really help me review a lot! I found out that reviewing online with videos, then checking if I did it right or wrong is the best way for me to learn. Thanks again
I didnt understand this concept even with tutoring and lectures, but I watched 7 minutes of this video and it all made sense. Thanks homie
Thank you so much. I has been so confused over the last few days in calculus and this helps a shit ton. I'm probably going to watch the full hour and 50 min cuz of how worried I am about my test
You really are the goat, explains it so much easier and understandable than my teacher!
Thank you for saving my grade. I’m forever grateful
Thank you so much for this lesson. Just found your channel. Having numerous examples worked out step by step is very helpful!
Thank you for your videos! Never stop filming!
At this point I am going to have to make a special dedication to you on my degree. I have been using your videos all through calc 1 and they have really been helping. Thank you so much.
Thank you very very much. You made Calculus much more bearable
YOU TRULY ARE AMAZING!!! PLEASE KEEP MAKING VIDEOS!!
After watching 10 minutes of this video, I learned more than my teacher had taught me after 6 hours of teaching!
bro you are actually the best teacher ive ever had thank you sooo much
at 1:18:03 is there a mistake? Car should be traveling east at 40 not 30 mph
What is your grade i mean are you in collage or not?
This is honestly the best channel ever.
Just learned this in class and had no fucking idea what my teacher was saying. All my classmates were like “Oh! I get it!” But I was completely dumbfounded. Thank you, really.
Same
The fact that you've significantly helepd thousands of students, makes you incomparable to those who have latin honors out there. You're something special Bro.
this is the longest 1hout and a half of my life but it is one of the most important 1 hour and a half to pass Calculus
you made it way easier than it looks, thanks!
Thank you sooo much!! My uni professor is very good but with this topic in particular I had difficulty but it took only the first 12 minutes to actually get a neat understanding
You're a rockstar teacher!!! Thank you soooooooo much!
I can not believe myself, I can finally solve wordy problems. All thanks to you sir, I really appreciate the videos and the teaching.
Thanks bro. You teaching better than my AP calculus teacher
DUDE THANK YOU!! Watching this video 30 minutes before my calculus test!
This channel has saved me so many many times! Thank you thank you thank you!!
I'm a UBC undergrad student studying commerce. This is saving my life. Thank you so much
Thank u so much. This helps a lot more in comparison to what my lecturer taught me.
really great and simple video , you saved me for chemistry and calculus 1
best tutor on YT❤
I could listen to that soothing voice for hours
You are saving lives sir. Without you there would be a lot more failures.
I wish this were around when I was in Calculus 1. I took it a year before this video came out.
This is even better than a two hours movie, thank you
i like the way in the middle of the lesson u remind usof some formulaes and steps lec
thank you for saving my life!! thank you thank you ......
You are the teacher that only comes once in a generation
this is probably a top 5 calculus video of all time
Am young Malawian ...your videos are so plenty and easy understandable...
Someone bless this man
Yooo this helped me more than I expected thanks a bunch
You've seriously helped me so much. Thank you
Reading the comments before watching the video, I trust that I can finish my homework after watching this almost 2 hour long lecture. :)
Thank u thank u thank u ur saving my math grade rn 🙏