Related Rates (with examples)
Автор: dydx math
Загружено: 2026-02-17
Просмотров: 21
Описание:
In this lesson, we walk step-by-step through four classic Related Rates problems from my Calculus Honors notes, available for free at dydxmath.com.
The goal is not just to “differentiate and plug in.”
It’s to understand how to:
• Identify what is changing
• Translate the words into equations
• Differentiate implicitly with respect to time
• Substitute values only at the end
• Keep track of units and signs
We begin with the well-known oil spill problem, move into a converging airplanes scenario, and continue building from there with increasingly structured examples.
If you’ve ever felt like Related Rates problems are chaotic, this video will help you see the underlying structure that makes them manageable.
Chapters
00:00 Introduction
02:17 Example 1 – Spreading Oil
05:48 Example 2 – Converging Airplanes
12:22 Example 3 – Morning Coffee
18:33 Example 4 – Observing a Launch
If this helped clarify Related Rates, consider subscribing for more Calculus Honors walkthroughs. I focus on building structure and confidence, not shortcuts.
Let me know in the comments which example felt most intuitive — and which one stretched you.
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