Related Rates - Distance Problems - Application of Derivatives

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This calculus video tutorial explains how to solve the distance problem within the related rates section of your ap calculus textbook on application of derivatives. This video explains how to find the rate at which the distance between a moving point on a curve and the origin changes with respect to time. The second problem asks you to determine the rate at which the distance of two cars is changing if one car travels east and the other travels north. The third problem asks you to determine how fast the distance between two ships is changing if ship A travels south and if ship B travels north.
Introduction to Limits:
• Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
Derivative Notations:
• dy/dx, d/dx, and dy/dt...
Related Rates - The Cube:
• Related Rate Problems ...
__________________________________
Inflated Balloon & Melting Snowball:
• Related Rates - Inflat...
Gravel Dumped Into Conical Tank:
• Related Rates - Gravel...
Related Rates - Area of a Triangle:
• Related Rates - Area o...
Related Rates - The Ladder Problem:
• Related Rates - The La...
Related Rates - The Distance Problem:
• Related Rates - Distan...
____________________________________
Related Rates - Airplane Problems:
• Related Rates - Airpla...
Related Rates - The Shadow Problem:
• Related Rates - The Sh...
Related Rates - The Baseball Diamond Problem:
• Related Rates - The Ba...
Related Rates - The Angle of Elevation Problem:
• Related Rates - Angle ...
Related Rates - More Practice Problems:
• Related Rates - Conica...
_________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

Опубликовано:

8 окт 2024

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Комментарии : 48

@TheOrganicChemistryTutor Год назад

Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-jUn8MpV80po.html Final Exams and Video Playlists: www.video-tutor.net/

@newtonxify Год назад

I'm blessed to have discovered you in my first class when I was doing College Algebra, now I'm on Calculus. You never disappoint. My University recommends your work.

@Kasleryoutube 5 лет назад

Very great video! Came from not understanding it to fully understanding it!

@georgesadler7830 Год назад

MR. Organic Chemistry Tutor, thank you for an awesome video/lecture on Distance Problems within the Related Rates section of Calculus One. This is an error free video/lecture on RU-vid TV with the Organic Chemistry Tutor.

@kenaj8828 3 года назад

Thank you for this video, my Calc AP exam is in two days.... your channel is a god send.

@nathanaeltitus1501 3 года назад

i guess I am kind of off topic but do anybody know of a good place to stream newly released series online ?

@adrianeden6261 3 года назад

@Nathanael Titus Lately I have been using Flixzone. Just google for it :)

@dillontatum8125 3 года назад

@Adrian Eden definitely, I have been using FlixZone for years myself =)

@nathanaeltitus1501 3 года назад

@Adrian Eden thank you, signed up and it seems like they got a lot of movies there :D I really appreciate it!!

@adrianeden6261 3 года назад

@Nathanael Titus No problem :D

@kainajones9393 2 года назад

Wow....glad I watched this. Now I know math is not my thing. And clarity is a good thing.

@nabilan6150 6 лет назад

Thank you for this video, well done.

@kennethcerezobautista3982 Год назад

I admire your passion to teach and love for knowledge. Your tutorial videos really help me in my Calculus for Engineering subject.

@mrv405 5 лет назад

Thank you! This helped me. However, I suggest a volume up as the sound is low.

@arikbental1076 2 года назад

You keep saving us with these great videos!!👍👍👍

@Jawaher-haji Год назад

Thank you so much for these information,, God bless you 🙏

@pukaseek Год назад

Great video. Thanks

@firezera 4 месяца назад

thank you so much :)

@faridamaryanne3673 2 года назад

Thank you JG much you are legit😚

@mahammadodj 3 года назад

Thank you

@rareblessings Год назад

Thanks! ❤️✨

@juko5030 3 года назад

Thanks man!

@bryansychingiok 3 года назад

for the airplane elevation problem, why cant the answer be natively in degrees? the angles used were all in degrees? This was not explained. Of course you can convert radians per second to degrees per second AFTER you get the answer. The question more is why can the answer organically be in degrees

@RelebohileHlapisi 6 месяцев назад

Why do we divide by 2?

@tirth3033 3 года назад

im passing university math because of you just saying

@anjan2003 3 года назад

Why didn't you use the shortcut that you showed for the last problem? I tried it out and it didn't get me the right answer. When do you use it?

@girlamation670 2 года назад

i think because there is a distance between the ships in the 3rd question and in the 2nd question the car started moving from the same point?

@SarahAddae-xu8xl 9 месяцев назад

Please do u teach Financial accounting

@ginaliu2037 5 лет назад

Why can't I use the dz/dt*2=dx/dt*2+dy/dt*2 function to solve the answer of dz/dt in the third question? The answer of dz/dt is 30 by using the function I had mentioned above but the correct answer is 18. Btw thank you for your awesome videos!! It would be difficult for me to understand calculus without your videos!

@gartyqam 5 лет назад

Gina Liu shut up u dummy

@justinsantos5751 5 лет назад

Because the equation that you used is wrong. X is constant and does not change, thus, the derivative of it is zero.

@admirali.a.6175 2 года назад

@@gartyqam jeez. That's rude. Some people simply don't understand. No need to be an asshole about it

@han9621 Год назад

Wondering the same! If X is constant then (dx/dt)=0, which should mean that (dz/dt)^2=(dy/dt)^2

@nuhan17 Год назад

he explaining maths. meanwhile me: only hearing devivaditives

@kimchiarriho4848 Год назад

Now it makes sense 😢

@naveedshirzadi598 Год назад

For the first problem, why divide by 2 5:20

@benprofiri8974 Год назад

To reduce, it doesn’t change the answer but some teachers ask for all answers to be reduced.

@phoenix-kt2xx Год назад

4:27 how do u know x², y² , z² values?

@DerHund1 Год назад

When you take the derivative of x^2 it’s 2x. So basically, he just took the derivative of all of the variables in there and that’s how he found the values.

@avuyilej-flexmngcongo1520 Год назад

@naoldamise2304 8 месяцев назад

I hate my teacher when I compare with u

@hwlsgrl 4 месяца назад

2:42 i’m completely lost atp why is it 2x 😭 im cooked for my calc final bro

@hwlsgrl 4 месяца назад

ok im assuming its implicit differentiation but i still dk💪🏻

@slenderman4378 26 дней назад

How was the exam 👹👺

@hwlsgrl 26 дней назад

@@slenderman4378 i was cooked i think but my final grade was a 90 so lets go💪💪

@dzulfikarubaid 2 года назад

Sorry, Why dx/dt = 0, not 160 km/4 h = 40 km/h?

@garyperez8098 Год назад

dx/dt is telling you the rate of change of x but x is always at 160km so it never changes so it is 0

@paramidhananjani1450 3 года назад

Thank you so much..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

12:09

Related Rates - Distance Problems - Application of Derivatives

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