Introduction to Related Rates
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- Опубликовано: 25 авг 2024
- This calculus video tutorial provides a basic introduction into related rates. It explains how to use implicit differentiation to find dy/dt and dx/dt. It contains examples on derivatives and related rates.
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 ...
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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...
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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...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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Why is it that in the first problem, y=+/-4.
But in the second problem, z=17, and not z=+/-17?
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i noticed on 4:42 that it was supposed to be -42 not 42 since you moved it to the right
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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
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"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.
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4:45 its meant to be -42 not 42
he fixed it smart guy
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what's dx/dt if x = 9 and t = 3 and how does it work ?
d9/d3= 3? 😅...
that's not how it works...
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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?
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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 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.
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Mistake in question one: It should be 8dy/dt= -42, not 8dy/dt= 42
4:45 it should be negative
thank you for the help
My calculus teacher should've started with this video and not a packet with word problems.
at 7:45, isnt it supposed to be +-17?
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Wait, at 4:39 , why didn't you change the sign fo 42 after you changed it's side?
Same
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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?
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first example was wrong it should be negative 42 if you transpose it
he did mention it
Clearly you don’t pay attention much, he fixed his mistake
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