Related Rates - Distance Problems - Application of Derivatives

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

[@TheOrganicChemistryTutor]

Next Video: ua-cam.com/video/jUn8MpV80po/v-deo.html
Final Exams and Video Playlists: www.video-tutor.net/

[@newtonxify]

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]

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

[@georgesadler7830]

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 UA-cam TV with the Organic Chemistry Tutor.

[@kenaj8828]

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

[@nathanaeltitus1501]

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

[@adrianeden6261]

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

[@dillontatum8125]

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

[@nathanaeltitus1501]

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

[@adrianeden6261]

@Nathanael Titus No problem :D

[@nabilan6150]

Thank you for this video, well done.

[@kainajones9393]

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

[@mrv405]

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

[@arikbental1076]

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

[@pukaseek]

Great video. Thanks

[@Jawaher-haji]

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

[@kennethcerezobautista3982]

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

[@firezera]

thank you so much :)

[@RelebohileHlapisi]

Why do we divide by 2?

[@bryansychingiok]

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

[@anjan2003]

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]

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]

Please do u teach Financial accounting

[@mahammadodj]

Thank you

[@ginaliu2037]

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]

Gina Liu
shut up u dummy

[@justinsantos5751]

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]

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

[@han9621]

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

[@faridamaryanne3673]

Thank you JG much you are legit😚

[@juko5030]

Thanks man!

[@tirth3033]

im passing university math because of you just saying

[@rareblessings]

Thanks! ❤️✨

[@naveedshirzadi598]

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

[@benprofiri8974]

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

[@phoenix-kt2xx]

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

[@DerHund1]

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.

[@nuhan17]

he explaining maths. meanwhile me: only hearing devivaditives

[@hwlsgrl]

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

[@hwlsgrl]

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

[@slenderman4378]

How was the exam 👹👺

[@hwlsgrl]

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

[@kimchiarriho4848]

Now it makes sense 😢

[@avuyilej-flexmngcongo1520]

Aj

[@naoldamise2304]

I hate my teacher when I compare with u

[@dzulfikarubaid]

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

[@garyperez8098]

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]

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