Finding dy/dx at a Point Using Implicit Differentiation
Автор: Professor Wood
Загружено: 2026-02-13
Просмотров: 11
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Timestamps:
00:00 Introduction
00:34 What we’ve been working with until now
02:32 ‘Implicit’ notation
05:52 Visualizing the equation to help understand the need for a new method
07:37 Trying to visualize dy/dx at a certain x-value (when our equation is not a function)
10:55 Using the Chain Rule in a new way (example 1)
14:34 Using the Chain Rule in a new way (example 2)
16:01 The Chain Rule is always there, under the hood
16:48 d/dx (x) vs d/dx (y)
18:21 Back to the main problem
19:49 Using the secret Chain Rule technique to unlock Implicit Differentiation
24:41 ‘Solving’ for dy/dx
27:01 An implicitly-defined equation for dy/dx (and what it means)
28:49 Using our equation to confirm the tangent slopes on the graph
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