Derivatives: Real Life Applications PART II

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👉 In this video we take a look at an interesting real-life application of derivatives. Why do cans have the shape they do? Turns out, it has an interesting mathematical explanation!

⭐️ Related content:

⏱ Timestamps:
00:00 Intro
00:53 Stating the problem
03:03 Going from text to math
03:51 Step 1: Geometry
04:55 Step 2: From two to one
12:22 Step 3: Derivative time!
17:35 FINAL RESULT
19:34 Outro

🙋‍♀️ If you have any questions, remarks, or suggestions for future topics, let me know in the comment section below or join the Discord Server!

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👍 Thanks for watching!

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Комментарии
Автор

Someone at some point at Coca Cola did this exercise to determine the shape of their cans :D

⏱ Timestamps:
0:00 Intro
0:53 Stating the problem
3:03 Going from text to math
3:51 Step 1: Geometry
4:55 Step 2: From two to one
12:22 Step 3: Derivative time!
17:35 FINAL RESULT
19:34 Outro

PenandPaperScience
Автор

I have a question
Where did you find the volume 0.33 dm^3?

araikakopzhasar
Автор

great, but you forget something that when derivative is zero its a critical point and not indicating its minimum or maximum and to do that you need second derivative, if second derivative is positive then its minimum and vice versa, and because here the second derivative is positive its right answer.

husseinali