Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: ruclips.net/video/WmBzmHru78w/видео.html
4:18 Find the linearization L(x) of the function a. Use it to estimate f(37) f(x) = x^(1/2) a = 36 8:15 Find the linearization L(x) of the function a. Use it to estimate f(2.1) f(x) = x^(1/3) a = 2 12:10 Estimate the given number using a local linear approximation 8^(1/3) 20:54 Use linearization to approximate ln(1.05) 23:59 Use linearization to approximate tan(46) 30:24 Differentials 36:05 Find the differential of the function y = x^(6) = 7x^(2) +3x 37:35 Find the differential of the function y = x^(2) ln(x) 39:09 Find the differential of the function V = (4/3)πR^(3) 40:36 Find the differential dy and evaluate it using the following values of x and dx 47:56 Graphical representation of differentials 51:11 y = x^(3)-5x+1 and x =2 Δx = 0.1 find dy, Δy
@@@lasog7813 he is thanking him, because this guy has a passion for the material and gift of illustrating the use of mathematics. Organic Chem Tour guy could be making the big bucks working for oil companies or working in bio-tech.....but, we are grateful he is making these videos.
@@abigailjones9868 not gonna lie, I think monetization on youtube plus patreon is probably paying more than the industry would lmao. still great nonetheless
@Fernando-np9kb no lmaoo, the oil industry would pay him way more than ehat he ever made on youtube and also youtube aint a stable job, it could collapse tomorrow, not the oil industry lol
It's Thanksgiving, so I just want to say that I'm so thankful for you and your channel. Your videos have helped me so much, and I don't think I would be passing my Calculus or Physics without them. Thank you!
I read the comments all the time. People are very grateful and the "thank yous" are so many. I think we should take the "thank you" to another level. Do you have a means where we can appreciate you by donating (in appreciation) whatever we please? Once again. Just look at your subscribers (2.8millions). It tells what good work you're doing. Keep it up. Were it not for your videos a lot of people would be in tears.
His favorite word is "therefore" haha I love it. Thank you for the video, our professors ripped your cube root 8.1 and put it on our practice questions!
Thanks for these videos. I use this channel for my Cal 1, Circuits and Chemistry classes. Even though some of the professors are really good at teaching, sometimes it is not enough and you need to find channels like this to help you with your studies. A key take away from this video is Delta X and Y Vs Dx and Dy. From what I understood the deltas are changes in X and Y values of the Function where Dx and Dy are changes in X and Y of tangent line. My professor probably explained this but I did not grasp it until I watched this video.
currently I am studying in Astana IT university, and without your videos studying there would be just impossible. Thank you for providing me with decent quality education.
Thank you so much for making these brother. When I finish my degree and make some money beyond basic ramen I will be contributing towards your generous time spend on these calculus videos. Thanks for being you brother!!! I’m not the only one who thinks this!
i just don't understand how hard it is for a professor to teach these things. Like I am actively participating in class and none of it makes sense but in the first 5 minutes of this video I understand the concept perfectly.
It's the second time you are hearing it so you already have an idea of what you're working with, so this video solidifies things and really helps engrave an understanding of the topics in your mind. On top of that, these videos are mostly explanations of how he does problems and are full of examples, while in class teachers have to cover the conceptual side of things in more detail.
In calculus, the moment I find out the title of the next lesson, I come and search for his lesson video before the actual lesson so I actually understand it
i'm failing all my classes so i'm really depressed rn. thankfully it's only the midterms and i still can redeem myself in the finals. going to study using your videos bc they help me a lot i hope i pass everything :(
I like your videos, so thanks for making them. Since this is a video on Linear Approximation, I don't think you have to spend time demonstrating how to do addition or even long division.
The reason why I'm here right now is because I find so much motivation in his explanation/ teaching... Might as well call him "God" now because I've never seen one before! 😂 If math can be this good in comparison then I think Lots of folks could have been resuscitated in their career paths had they found him sooner. 😁🤣 Ok. seriously, thank you for all you've done... from a ditzy head.
Oh cmon, I dont see anything particularly extraordinary about his videos or teaching method. I've been listening to his videos for years, and the resson they are good, is because they are here. While other channels make the same stuff, but less so extensive. Hes great, but a good teacher in a class? No not really, This type of teaching is monotonous and too consistent to hold attention spans in a classroom. I have been in college for 3 years and have taken a dozen other math classes
For the tangent function, you’d still need to use an approximation for pi/90. Could you do a video where you use the Taylor approximation theorem to approximate pi/90 and various other transcendental expressions.
This is probably never going to get answered, but at 22:00 , why is the deriv of ln(1) = to one? I get the 1/x > 1/1 thing, but also when you consider d/dx lnU = U'/U, then ln(1) = 0 bc it's 0/1.
I'm in total tears dad you are such an amazing teacher, you are a the love god bestowed upon us humans, you are an angel, you are magnificient, you are gorgoroyus, you are majestic, you mew everytime and I love when you looksmaxx
I was a little bit confused about the tan(46) problem, why did you switch from 46 to a radiant, and where did the answer 3 go? so if the 3 is not close to 1.03553, you have to use radiant to get the accurate approximation? Do we have to do that with every problem?
Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b
Final Exams and Video Playlists: www.video-tutor.net/
Calculus 1 Final Exam Review: ruclips.net/video/WmBzmHru78w/видео.html
Me before the video: on the verge of tears
Me after the video: crying tears of joy
4:18 Find the linearization L(x) of the function a. Use it to estimate f(37) f(x) = x^(1/2) a = 36
8:15 Find the linearization L(x) of the function a. Use it to estimate f(2.1) f(x) = x^(1/3) a = 2
12:10 Estimate the given number using a local linear approximation 8^(1/3)
20:54 Use linearization to approximate ln(1.05)
23:59 Use linearization to approximate tan(46)
30:24 Differentials
36:05 Find the differential of the function y = x^(6) = 7x^(2) +3x
37:35 Find the differential of the function y = x^(2) ln(x)
39:09 Find the differential of the function V = (4/3)πR^(3)
40:36 Find the differential dy and evaluate it using the following values of x and dx
47:56 Graphical representation of differentials
51:11 y = x^(3)-5x+1 and x =2 Δx = 0.1 find dy, Δy
thanks
OMG I didnt even realize it was this long until I saw your comment, life saver here. I was just going to ride it out and really learn lmao
I love you
👑
yeah who wants to actually learn
@@coltonmiller872
organic chemistry tutor is my daddy
wtf
No he’s mine
@@superbutter476 no ways, I don't share!
Chopapi munyanyo
@@casmirgandalftayag6499 MUNYANYO
thank u! for sacrificing your time and make these videos for people! thank u so much!
He is getting paid to do it. That's y u see ads on his vids
@@@lasog7813 he is thanking him, because this guy has a passion for the material and gift of illustrating the use of mathematics. Organic Chem Tour guy could be making the big bucks working for oil companies or working in bio-tech.....but, we are grateful he is making these videos.
@@abigailjones9868 not gonna lie, I think monetization on youtube plus patreon is probably paying more than the industry would lmao. still great nonetheless
@Fernando-np9kb no lmaoo, the oil industry would pay him way more than ehat he ever made on youtube and also youtube aint a stable job, it could collapse tomorrow, not the oil industry lol
In this video,......
Anytime you hear that you know your problems are getting fixed
Exactly, "In this video, I'm gonna show you everything you need to know"
And of course...
What? Still searching RUclips for math help? Are the videos from 2006 reaaaally helping?
@@lochtlmao Haha got that right
lmfao
@@arknghel9081 hell yea they are, curriculums barely change
This man is a big reason why I passed pre-calc, and he is now currently helping me in calc 1.
It's Thanksgiving, so I just want to say that I'm so thankful for you and your channel. Your videos have helped me so much, and I don't think I would be passing my Calculus or Physics without them. Thank you!
thanksgiving two years in the future and same
@@prodjvenchy happy new year
its just about thanks giving again and I was thinking the same thing in 2021
is hoshi your pfp
thanksgiving two years in the future and same@@prodjvenchy
you have the best educational videos on youtube, once i start working i will definitely donate to your channel, thank you so much
Professor Leonard is really good.
@@staticsnipezs1819 what does he teach ?
@@azyle2104 calculus amongst other math subjects
@@staticsnipezs1819 science too ?
have u donated? here to remind u haha
organic chem has gotten me through highschool, and now my first semester of university man you're a beast.
I read the comments all the time. People are very grateful and the "thank yous" are so many. I think we should take the "thank you" to another level. Do you have a means where we can appreciate you by donating (in appreciation) whatever we please? Once again.
Just look at your subscribers (2.8millions). It tells what good work you're doing. Keep it up. Were it not for your videos a lot of people would be in tears.
what kind of cold blooded professor is making you do appx linearization without a calculator :O dude! you're awesome! so detail oriented!
You have no idea how many times you've saved me with Physics and Calculus. Thank you!😁
I have never seen a perfect lesson video on RUclips like that, Thanks a lot. God bless you
His favorite word is "therefore" haha I love it. Thank you for the video, our professors ripped your cube root 8.1 and put it on our practice questions!
Thanks for these videos. I use this channel for my Cal 1, Circuits and Chemistry classes. Even though some of the professors are really good at teaching, sometimes it is not enough and you need to find channels like this to help you with your studies.
A key take away from this video is Delta X and Y Vs Dx and Dy. From what I understood the deltas are changes in X and Y values of the Function where Dx and Dy are changes in X and Y of tangent line. My professor probably explained this but I did not grasp it until I watched this video.
x10 better than my professor. Thank you very much. I learn more in your videos than in class.
You are amazing. I can't thank you enough. You just saved me hours of studying a bulky textbook. Thank you very much and keep up the good work.
currently I am studying in Astana IT university, and without your videos studying there would be just impossible. Thank you for providing me with decent quality education.
Thank you so much for making these brother. When I finish my degree and make some money beyond basic ramen I will be contributing towards your generous time spend on these calculus videos. Thanks for being you brother!!! I’m not the only one who thinks this!
Simply put: I feel you. He deserves ounces off of your future promotion. 😉
bro its the small tips you add in that I like the most. Very nice work and thanks for helping me and many others out!
This guy is the savior of my AP Chem Gen Chem AP Calc BC AP Physics and Organic Chem career
i just don't understand how hard it is for a professor to teach these things. Like I am actively participating in class and none of it makes sense but in the first 5 minutes of this video I understand the concept perfectly.
It's the second time you are hearing it so you already have an idea of what you're working with, so this video solidifies things and really helps engrave an understanding of the topics in your mind. On top of that, these videos are mostly explanations of how he does problems and are full of examples, while in class teachers have to cover the conceptual side of things in more detail.
You have single handedly carried me through university and high school
A lot of thanks from China. Your channel helps me a lot!
Thank you so much for going over the minuscule algebra. It helps me slow down and process the calculus and get some tips.
Thank you so much for making these videos. Without them, I'd probably be failing AP Calculus lol
1 week left till the exam though :(
In calculus, the moment I find out the title of the next lesson, I come and search for his lesson video before the actual lesson so I actually understand it
smart
I'm telling you this guys the GOAT in what he teaches.
yeah him and professor Leonard, total gradesavers.
since 2018 in middle school you got me bro , now in university 2024 , u still got me
thank you bro
Shoutouts to this dude for lord willing helping me pass my math final
This is the best and the most comprehensive one! Really helps! Thanks!
this is literally the 100th time you've helped me out of a hole!!! i can't thank you enough!!! but i'll still try... THANK YOU!!! :)
Better explanation than an university professor, well done!
i was on the verge of a mental breakdown
i love this guy
I give thanks to you. You are literally carrying my calculus grade
YOU SAVED MY GPA!!!!!! THANK YOUUUUUUUUUUU
When I just hear,"in this video"....all my problems solved., you are such amazing 💕💕💕
This man's channel needs to be in the national archives.
my dearest love of my life. i got all my exam questions right
i'm failing all my classes so i'm really depressed rn. thankfully it's only the midterms and i still can redeem myself in the finals. going to study using your videos bc they help me a lot
i hope i pass everything :(
Dude, I hope you can pass, believe in yourself. Because I passed the midterms for this and other videos.
@@erenakpnar8361 thanks, and that's cool. congrats for passing your midterms man
how'd u do man
@@jaedenk999 i did fine on physics and maths (i passed) but i failed chemistry sadly. just need to study more ig
@@kojicuxt at least you passed man, I have to calc final exams this week and I'm at a d right now so this basically determines if I pass or not
Thank you, Sir, you are highly appreciated in my life
OH YEAH! Very nicely done on differentials. I enjoyed that.
I got into ucla because of this guy
congrats!
Uve probably graduated now
i have never watched an hour video before
thank you
Watched the whole thing. You sir are a good teacher.
Just wanted to say: Thank You soo much
I like your videos, so thanks for making them. Since this is a video on Linear Approximation, I don't think you have to spend time demonstrating how to do addition or even long division.
paying for a calculus course but doing the actual learning in your videos.
anyone watching this during quarantine?
hell ya
Yeah...
Because I have online classes😂😭
@@boredindeed9685 same brotherrrr
Ohh yeah! We have to if we want to pass
Yes I am watching
Preparing for my finals 😢 prayers needed 😊
The reason why I'm here right now is because I find so much motivation in his explanation/ teaching... Might as well call him "God" now because I've never seen one before! 😂 If math can be this good in comparison then I think Lots of folks could have been resuscitated in their career paths had they found him sooner. 😁🤣 Ok. seriously, thank you for all you've done... from a ditzy head.
Oh cmon,
I dont see anything particularly extraordinary about his videos or teaching method.
I've been listening to his videos for years, and the resson they are good, is because they are here. While other channels make the same stuff, but less so extensive.
Hes great, but a good teacher in a class? No not really,
This type of teaching is monotonous and too consistent to hold attention spans in a classroom.
I have been in college for 3 years and have taken a dozen other math classes
thankyou so much for making these videos as they are really helpful for us, you have been a really great help...may God bless you!
this video is really flawless... beautiful!
Bro saved my life in 54 min 😭😭
Thank you so much for existing
I wish he was my profess seems mad excited to teach
Thanks wish me luck I’m about to take my calculus exam right now 😭
how it did go?
@@ecoplastiny9840 he died
@@John-kp1ql that’s all I wanted to hear, thx
you are too good. u make calc feel like a breeze.
ur lessons really healpfull
Ap calculus in a week fam. Lets get em
Why hasn't this guy start an online college yet!? so much better then Khan
Khan is zero beside this guy
Good luck to everyone on their calc exams.
You saved my life
Mr nuttle when you see this, I have been watching him for years
thank you very much, Organic Chemistry tutor. Can you please add timestamps for long videos?
god bless you. you save lots of life man
you, sir, are a legend
Thank you papi 🙏🏻
you sir... ARE AN ANGEL
this video has clarified a lot for me thanks a lot !!!
Thank you sooooo much... You always help me aloooooot
I love your vedios alot... Keep going
thanks dad
this is where I learn like 80% of my calculus
newton and leibniz: wait you don't even invent math on your own? *pathetic*
For the tangent function, you’d still need to use an approximation for pi/90. Could you do a video where you use the Taylor approximation theorem to approximate pi/90 and various other transcendental expressions.
Why don't u give a like? u don't even pay for this 1 billion dollar tutorial video...
Why are you so much better than my teacher
YOU ARE THE BEST!!!!!!!!
watching this 2 hours before my math final lol
what are the conditions on picking what the a is?
Thanks, you make more clear about that.😊
Sir Please can you do a tutorial on principle of moment, thanks we really appreciate the gold you are giving us 🙏🏽🙏🏽🙏🏽🙏🏽🖐️🖐️🖐️
Ufff simply great 🔥🔥🔥🔥
This is probably never going to get answered, but at 22:00 , why is the deriv of ln(1) = to one? I get the 1/x > 1/1 thing, but also when you consider d/dx lnU = U'/U, then ln(1) = 0 bc it's 0/1.
You Are The Best !!!!!!
man is really helpful thank you
I'm in love wz ur voice
You are the GOAT!!!
Really cool, bro! Thx
Thank you so much. You've helped me a lot in different subjects. Keep going!
20:25 I think you forgot a zero in the L(8.1)=2.0833 while in the long division part it says 2.00833.
Ion Loghin no he didn’t forget about it, remember that you multiplied by 10 and 40, so you have to take the comma one spot to the left.
Everyone -
Calc Teacher: *ew*
JG: *god blesssss you*
I'm in total tears dad you are such an amazing teacher, you are a the love god bestowed upon us humans, you are an angel, you are magnificient, you are gorgoroyus, you are majestic, you mew everytime and I love when you looksmaxx
stfu bro what you even on about
Who asked you?
I did
at 20:27 when he divide the numbers he got a 2.0083 (right side of the screen) but he wrote 2.083 on the left???????
junkersta that’s what I said
Everytime I see math like this, it always makes me wonder who the hell discovered all this and what they must've been smoking at the time.
Indeed you are the best!!!
Thanks sooooooooooooo much
My calculus lecturer is breaking my neck😢😢😢
Like if you are going through the same agony😂
Same ;-;
I was a little bit confused about the tan(46) problem, why did you switch from 46 to a radiant, and where did the answer 3 go? so if the 3 is not close to 1.03553, you have to use radiant to get the accurate approximation? Do we have to do that with every problem?
YOU ARE THE BEST
20:25 I think you forgot a zero in the L(8.1)=2.0833 while in the long division part it says 2.00833.