Implicit Differentiation | Calculus Lesson 17 – JK Math

How to do Implicit Differentiation (Calculus Lesson 17)

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In this lesson we learn how to do implicit differentiation. We discuss what it means for a function to be defined implicitly versus explicitly, and how we take the derivative in each case. We then go through several examples as we learn the general process, or guidelines, for taking derivatives of implicitly defined functions.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Explicit vs Implicit Functions
1:39 Intro to Implicit Differentiation
5:17 Example – Taking a Derivative of an Implicit Function
9:04 Guidelines For Implicit Differentiation
10:11 Example – Implicit Differentiation with Product Rule
15:21 Example – Evaluating the Derivative of an Implicit Function at a Point

📝 Examples Video: https://youtu.be/zu-MZsGp0NY

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#calculus

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