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.

Related Rates - Free Formula Sheet:

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Introduction to Limits:

Derivatives - Fast Review:

Introduction to Related Rates:

Derivative Notations:

Related Rates - The Cube:

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Inflated Balloon & Melting Snowball:

Gravel Dumped Into Conical Tank:

Related Rates - Area of a Triangle:

Related Rates - The Ladder Problem:

Related Rates - The Distance Problem:

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Related Rates - Airplane Problems:

Related Rates - The Shadow Problem:

Related Rates - The Baseball Diamond Problem:

Related Rates - The Angle of Elevation Problem:

Related Rates - More Practice Problems:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[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.

[georgesadler]

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 YouTube TV with the Organic Chemistry Tutor.

[Kasleryoutube]

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

[kenaj]

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

[kainajones]

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

[kennethcerezobautista]

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

[arikbental]

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

[mrv]

Thank you! This helped me.


However, I suggest a volume up as the sound is low.

[Jawaher-haji]

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

[tirth]

im passing university math because of you just saying

[Christluvstt]

For the last question why is he adding the 48 and 72 instead of subtracting aren't they opposite directions?

[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

[SarahAddae-xuxl]

Please do u teach Financial accounting

[nuhan]

he explaining maths. meanwhile me: only hearing devivaditives

[anjan]

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?

[ginaliu]

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!

[phoenix-ktxx]

4:27 how do u know x², y², z² values?

[naveedshirzadi]

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

[naoldamise]

I hate my teacher when I compare with u

[hwlsgrl]

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