Related Rates - Free Formula Sheet: bit.ly/48hJymz Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: ruclips.net/video/WmBzmHru78w/видео.html Next Video: ruclips.net/video/7BK_mmYckmI/видео.html
This man has been my messiah for Honors Algebra II, Honors Pre Calc, AP Calculus I and II, Honors and AP Chemistry, and AP Physics... I stan Thank you so much for all of your help, I am now going to Cornell as a double major in math and computer science. I honestly think my understanding and love for math has greatly been facilitated by your videos, and I plan to use your videos for college and beyond!!
You ended up doing the exact problem I was stumped on in this video, which really helped since as soon as I understood I could pause, finish it myself, and then feel the satisfaction of watching you do the exact same steps I just did and getting the same answer. Thank you so much man, your channel has been a godsend for all the stuff my teacher has pretended to teach me
Thank you for taking the time to create this content and upload it to RUclips. I have had a difficult time understanding these problems as they were introduced to me in a complex demonstration of examples like filling a cylindrical tube at a rate of this an that, I never really developed a concrete understanding of how to go about the problem until now. You are helping propel students to a higher level of understanding and ability, so again, I appreciate your work and thank you
I am so glad to see I am not the only one to think that this mans videos do not get the credit they deserve. I am with everyone below. I have watched so many other videos but without fail, every time I watch his videos, I will always finally understand a subject I was not grasping. He truly has a gift, the most amazing teaching skills! Do not let the length of some of his videos fool you, they are all jam packed with info and tools that break things down and teach you exactly how to do the subject. He is by far one of the best if not the best!!
This man has carried me through honors Chemistry, Algebra 2, College Algebra, Pre-calc, General Chemistry 1, and now Calculus. I would usually never consider patreon but this man deserves my money.
MR. Organic Chemistry Tutor, thank you for an exceptional video/lecture on The Introduction to Related Rates in Calculus One. In the past, I had some difficulty understanding Related Rates problems, however my skills have improved with practice. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
You are the best teacher I have ever had. It is amazing how you make a concept whether it be Calculus or Chemistry that I used to think was impossible seem easy and simple. Thank you so much. You do not realize how much your channel has helped me.
This channel had helped me many times now. the problems that were used as an example were very similar to what is in my textbook and this has helped a lot since my instructor always base the tests on the textbook. I got an average of 98 in basic calculus this midterms and i really must say that this channel had a massive contribution as to why i achieved that grade. THANK YOU SIR FOR BLESSING US WITH FREE QUALITY MATH RESOURCES!
I can say I’m actually good at calculus I can understand I’m the first in my family to say that thank you so much you are a wonderful help organic Chem tutor❤️
At 5:00, when it says 42 + 8dy/dt = 0, then the next step has positive 42 on the right side, would you not have to subtract the 42 from each side to get -42 getting a dy/dt of -21/4?
I am so thankful for this channel... I can't believe how terrible our textbooks are at explaining anything. I learned more in the first minute of this video than I did from two and a half hours worth of class time and reading our crappy online textbook over and over again.
My boy, you got me into the engineering program at my dream school. Textbooks cant teach shit, im using your vids to pre study my first year of engineering, semester comes up in a month and I already understand all the physics and math classes to a reasonable extent and I haven't even started school yet
@@TheInvisibleOne1026 Made it through first year of engineering lool, it was absolutely fucking brutal LMAO. Got hit with a hefty ass work load, but I worked my ass off and passed everything. Was holding on by a string though, but I think I managed pretty well considering im into bodybuilding, was able to get through it while still working out and doing other things. Funny how I thought preparing in the summer would make it hella easy, BOY WAS I WRONG. Honestly the most stressful year of my life. But for my university atleast which is top 5 for engineering in canada, they say first year is the worst year, only need to worry about passing. Had to work my ass off just to pass, but its worth it. Just dont ask me to repeat that hell hole of a year again omgg so happy its over. Time for second year after this summer break.
Everytime you help me get unstuck with a homework problem I go ahead and leave the video playing all the way through even through the ads in the background. Im still a broke college student so hope that helps.
Took me an hour to do one question on a test on this stuff and my teacher was chill and let me finish the test tomorrow. Guess I better not disappoint 🤦♂️🤦♂️😭
How come you evaluated just 17, and not plus or minus 17, when solving for z, on the very last problem, but the problem before that, you did evaluate for the negative number?
i thought it was gonna be +/- 17 because we took the root of it but no one seems to be correcting it so im not too sure. i did the work for but it was turned out to be +/- 99/17
"When z is positive seventeen ..." In the given instance there is no reason to consider z = - 17 as a legitimate solution to the Pythagorean identity; z is the hypotenuse of a right triangle, both of the legs of which are positive. IOW even the reference angle of the hypotenuse is positive. Minus seventeen is extraneous.
For anyone reading this years later, x^2 + y^2 = z^2 is the standard form of an equation of a circle with center at the origin (0,0) and a radius of sqrt z. Z should only be positive since a negative radius is a no-no. I think.
@neillawrence4198 Nice observation. It isn't that a negative radius is a "no-no," it's more that a radius is a distance. As such, if you have a negative value for it then you can always recast it as positive but pointed in the opposite direction.
why did you put dy/dx near the 3x^2 is it mandatory in all differentiation questions like this? and if so why do we do it plz reply ur videos are really nice
I understand how to find derivatives, and know how y^3 differentiates to 3y^2. But then you say it is times dy/dx and I'm confused. What is dy/dx and why is the derivative time that?
I have a quick question why didn't we us plus or minus on the 17. Since we took the radical of 289 and it came out as 17 I assumed that our answer would be plus or minus 17 for z..
Man, I remember back when I took calculus 1 related rates was the most confusing thing in the world. Now I’m working with matrices and Laplace transforms every problem and this shit is cake compared to that.😂
hm, I know this is an old video but -- how do you find the second derivative through this method? using y''/x'' gives (d^2)y/(d^2)x, which i feel like isn't the same thing as (d^2)y/(dx)^2
Soo if we have to variables in an equation according to chain rule we difflerenitate the variabke again right? Like.. X^2 +y^2 =z^2 so.... We got all them as a variable so when i diffrentiate x with respect to t i shold get.. 2x. dx/dt right?!
Hi, I have a question for the both equation, is it okay to get the derivative before going to get the value of the variable? or getting the value of the variable before going to get the derivative of the equation?
Related Rates - Free Formula Sheet: bit.ly/48hJymz
Final Exams and Video Playlists: www.video-tutor.net/
Calculus 1 Final Exam Review: ruclips.net/video/WmBzmHru78w/видео.html
Next Video: ruclips.net/video/7BK_mmYckmI/видео.html
Ty!!!!!!!!!!!!!!!!!
This man has been my messiah for Honors Algebra II, Honors Pre Calc, AP Calculus I and II, Honors and AP Chemistry, and AP Physics... I stan
Thank you so much for all of your help, I am now going to Cornell as a double major in math and computer science. I honestly think my understanding and love for math has greatly been facilitated by your videos, and I plan to use your videos for college and beyond!!
congrats man
Well done!
Only Jesus is your messiah bro.By the way , congrats.
@@davidedmundtochi5228 Damn thats some cringe shit. People that are obnoxious about their own little cult are fucking annoying, take the hint.
@@thezapper130 I don't even really understand what you are trying to say. Try again.
umm excuse me, where is his Nobel peace price, math prize, MVP prize? This man deserves it all
Psa: the maths analog to the nobel prize is the fields medal
Indeed!
Why is it that in the first problem, y=+/-4.
But in the second problem, z=17, and not z=+/-17?
@@knora2974 He said "to keep things simple"
cringe
I'm literally in a breakout room and no one has any idea what we are doing. Thank you. You're my secret weapon.
lmao
You ended up doing the exact problem I was stumped on in this video, which really helped since as soon as I understood I could pause, finish it myself, and then feel the satisfaction of watching you do the exact same steps I just did and getting the same answer. Thank you so much man, your channel has been a godsend for all the stuff my teacher has pretended to teach me
Sorry ryanm but not even the least in appreciation to your teacher? The word "pretended"!
Thank you for taking the time to create this content and upload it to RUclips. I have had a difficult time understanding these problems as they were introduced to me in a complex demonstration of examples like filling a cylindrical tube at a rate of this an that, I never really developed a concrete understanding of how to go about the problem until now. You are helping propel students to a higher level of understanding and ability, so again, I appreciate your work and thank you
I am so glad to see I am not the only one to think that this mans videos do not get the credit they deserve. I am with everyone below. I have watched so many other videos but without fail, every time I watch his videos, I will always finally understand a subject I was not grasping. He truly has a gift, the most amazing teaching skills! Do not let the length of some of his videos fool you, they are all jam packed with info and tools that break things down and teach you exactly how to do the subject. He is by far one of the best if not the best!!
We are sharing your comment.
i noticed on 4:42 that it was supposed to be -42 not 42 since you moved it to the right
LMFAO, did you not watch the whole video? Im 14 and yet I can understand.
@@greatEraslook at the time mark, he’s right the 42 should be a negative 42.
@@greatEras You were not born you escaped! You were a mistake
@@greatErashe’s right, it should be negative
huh? bro did u not hear what he said 15 seconds later at 5:02??
This man has carried me through honors Chemistry, Algebra 2, College Algebra, Pre-calc, General Chemistry 1, and now Calculus. I would usually never consider patreon but this man deserves my money.
This dude helped me more than our calculus teacher.
MR. Organic Chemistry Tutor, thank you for an exceptional video/lecture on The Introduction to Related Rates in Calculus One. In the past, I had some difficulty understanding Related Rates problems, however my skills have improved with practice. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
you’re on dick bro 😭
*Clicks on Organic Chemistry Tutor video* *Turn volume knob up to 11*
You are the best teacher I have ever had. It is amazing how you make a concept whether it be Calculus or Chemistry that I used to think was impossible seem easy and simple. Thank you so much. You do not realize how much your channel has helped me.
This channel had helped me many times now. the problems that were used as an example were very similar to what is in my textbook and this has helped a lot since my instructor always base the tests on the textbook. I got an average of 98 in basic calculus this midterms and i really must say that this channel had a massive contribution as to why i achieved that grade. THANK YOU SIR FOR BLESSING US WITH FREE QUALITY MATH RESOURCES!
This man is the cure to my math headaches!
thank you so much, my teacher didn't really explain as nicely as you have. you explain it in such a way that it's a snap to understand
whoever invented related rates has caused the dismay of so many students
if i had a time machine…
ur saving my grades thank u SO much
Idc what anyone says you the GOAT for math tutoring on RUclips. Thank you my g 🙏🏽
5:10 I was like dude I should go back to middle school but thank god I was right. Thank you very helpful video.
I love you Organic Chemistry Tutor, you're carrying my calc grade for real
IVE BEEN BANGING MY HEAD AGAINST THIS FOR A WEEK, THANK YOU SO MUCH
I can say I’m actually good at calculus I can understand I’m the first in my family to say that thank you so much you are a wonderful help organic Chem tutor❤️
The organic chemistry and khan academy are two of my favorite channels in learning maths
At 5:00, when it says 42 + 8dy/dt = 0, then the next step has positive 42 on the right side, would you not have to subtract the 42 from each side to get -42 getting a dy/dt of -21/4?
nvm lol didn’t get to the part where you corrected lol
@@connorferguson6384 just saw this problem too LMAOOO
i saw it too
Thank you! I would have never had gotten this far in calculus without your help
Best Tutor on RUclips!! Thank you so much 🙏🏻
at 4:50 you almost got me so good lol!! i thought you made a mistake but you corrected urself. Attaboy!!! :)
You make everything a lot easier to understand. Thankyou!!
I love you... and I say that in the most non weird way possible...
We live in a time where I love you can be wierd lol 😂😢
at 7:45, isnt it supposed to be +-17?
Thank you for your service, Organic Chemistry Tutor.
I have a test tomorrow and a fever, thanks man for doing these videos
I am so thankful for this channel... I can't believe how terrible our textbooks are at explaining anything. I learned more in the first minute of this video than I did from two and a half hours worth of class time and reading our crappy online textbook over and over again.
Mashhallah you are very knoweledgble in explaining, i have learned so much from you lol. May you have the ability to learn more
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Their hints:
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I needed this, I have a ap calc ab midterm today, what a blessing, ty very much
Related rates problems are amazing to solve and these problems are interesting as a high school student.
Thx 😍😍
we love you organic chemistry man
bro is a God of sciences
thanks for everything man. U explain things so thoroughly
I watch these videos before I go to class just to flex on everybody...
My calc professor actually just has us watch this guy's videos before class. haha
😂
4:45 its meant to be -42 not 42
he fixed it smart guy
My boy, you got me into the engineering program at my dream school. Textbooks cant teach shit, im using your vids to pre study my first year of engineering, semester comes up in a month and I already understand all the physics and math classes to a reasonable extent and I haven't even started school yet
How’s it going so far?
@@TheInvisibleOne1026 Made it through first year of engineering lool, it was absolutely fucking brutal LMAO. Got hit with a hefty ass work load, but I worked my ass off and passed everything. Was holding on by a string though, but I think I managed pretty well considering im into bodybuilding, was able to get through it while still working out and doing other things. Funny how I thought preparing in the summer would make it hella easy, BOY WAS I WRONG. Honestly the most stressful year of my life. But for my university atleast which is top 5 for engineering in canada, they say first year is the worst year, only need to worry about passing. Had to work my ass off just to pass, but its worth it. Just dont ask me to repeat that hell hole of a year again omgg so happy its over. Time for second year after this summer break.
@@sebastiancurry3714 Keep pushing brotha, do or die!! Lol. Thanks for the reply, I can relate!
I can not explain how grateful I am
you are seriously my hero
Legend. I’m cramming so hard rn
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ImThatOneGuy shoot I didn’t see this but yeah for AP 💀
u totally SAVE my life!!! Thks
honestly this man is the reason why im passing calculus. i’ll give u my firstborn
mr you are a legend
Everytime you help me get unstuck with a homework problem I go ahead and leave the video playing all the way through even through the ads in the background. Im still a broke college student so hope that helps.
Wait, at 4:39 , why didn't you change the sign fo 42 after you changed it's side?
Same
Thanks so much! You’re the best!😁
At 5:03 , is it supposed to still be positive 42 even though he moved it to the other side of the = ? I thought it was supposed to be neg
lol he literally corrects himself the moment i comment this, thanks
you're 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x better than my calculus teacher
Took me an hour to do one question on a test on this stuff and my teacher was chill and let me finish the test tomorrow. Guess I better not disappoint 🤦♂️🤦♂️😭
I learned it on the first video your videos are awesome
Man u explained this so well
I’m literally in love w u thank u for this
This guy is my hero
everything just clicks when you explain, thanks
Why doesn't the 42 become negative when moved to the other side at 4:35 ? Just wondering
Thanks for your videos.
Thank you sooooo much!!!!! Your videos have helped me out very much!
must be a good feeling when you look at your comment sections filled with compliment eh?😁😁😁
Hahaha thought so too... Well, he deserves it!
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Thanks from Saudi Arabia
Wow you helped me so much
SO THANKFUL FOR YOU
Why didnt we find dz/dt for z= -17 for the second example?
He said to keep it simple but I’m guessing it’s -99/17?
SIR JG love you from Pakistan
How come you evaluated just 17, and not plus or minus 17, when solving for z, on the very last problem, but the problem before that, you did evaluate for the negative number?
You're a really great Math teacher. Are you teaching professionally tho?
on the second problem, should z = + or - 17 instead of just 17?
i thought it was gonna be +/- 17 because we took the root of it but no one seems to be correcting it so im not too sure. i did the work for but it was turned out to be +/- 99/17
"When z is positive seventeen ..."
In the given instance there is no reason to consider z = - 17 as a legitimate solution to the Pythagorean identity; z is the hypotenuse of a right triangle, both of the legs of which are positive. IOW even the reference angle of the hypotenuse is positive. Minus seventeen is extraneous.
For anyone reading this years later, x^2 + y^2 = z^2 is the standard form of an equation of a circle with center at the origin (0,0) and a radius of sqrt z. Z should only be positive since a negative radius is a no-no. I think.
@neillawrence4198 Nice observation. It isn't that a negative radius is a "no-no," it's more that a radius is a distance. As such, if you have a negative value for it then you can always recast it as positive but pointed in the opposite direction.
Thanks,very helpful
I'm sorry for the ignorant question as someone new to this, but what is the difference between joining and subscribing?
i cant thank u enough bro
why did you put dy/dx near the 3x^2 is it mandatory in all differentiation questions like this? and if so why do we do it plz reply ur videos are really nice
4:45 it should be negative
We need videos for discrete math
I understand how to find derivatives, and know how y^3 differentiates to 3y^2. But then you say it is times dy/dx and I'm confused. What is dy/dx and why is the derivative time that?
what's dx/dt if x = 9 and t = 3 and how does it work ?
d9/d3= 3? 😅...
that's not how it works...
I have a quick question why didn't we us plus or minus on the 17. Since we took the radical of 289 and it came out as 17 I assumed that our answer would be plus or minus 17 for z..
When you found z, why wouldn't it be -17 and 17 since you took the square root there should be two possible anwers, -99/17 and 99/17.
Man, I remember back when I took calculus 1 related rates was the most confusing thing in the world. Now I’m working with matrices and Laplace transforms every problem and this shit is cake compared to that.😂
thank you for the help
ur amazing bro
hm, I know this is an old video but -- how do you find the second derivative through this method? using y''/x'' gives (d^2)y/(d^2)x, which i feel like isn't the same thing as (d^2)y/(dx)^2
Why at 5:52 is the x still negative if the twos were cancelled out ?
To cancel out the negative, you need another negative. A positive 2 canceling out a negative 2 would still leave the negative behind.
Another banger video
Soo if we have to variables in an equation according to chain rule we difflerenitate the variabke again right? Like.. X^2 +y^2 =z^2 so.... We got all them as a variable so when i diffrentiate x with respect to t i shold get.. 2x. dx/dt right?!
How the fuck do you have every single math video I’m at a loss for words thank you
Hi, I have a question for the both equation, is it okay to get the derivative before going to get the value of the variable? or getting the value of the variable before going to get the derivative of the equation?
I think both are the same haha. Depends on whichever way you'd prefer to use:)