Finding dy/dx at a Point Using Implicit Differentiation скачать в хорошем качестве

Finding dy/dx at a Point Using Implicit Differentiation

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