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The Chain Rule | Calculus Lesson 16 - JK Math
How to Use the Chain Rule for Derivatives (Calculus Lesson 16)
➡️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculus1-worksheet-set
🖥️ Join My Membership Site: https://www.jkmathematics.com/plus
In this lesson we learn about when and how to use the chain rule for derivatives. We discuss how to use the chain rule to take derivatives of composite functions, and briefly review what composite functions are. We look at various example problems to practice using the chain rule, focusing on the concept of “inner” and “outer” functions to help us arrive at our answers.
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 A Review on Composite Functions
1:36 When The Chain Rule Should be Used
3:59 What is the Chain Rule?
6:27 Example 1 - Derivative of sin(9x)
8:23 Example 2 - Derivative of sqrt(x^2+3)
11:17 Example 3 - Derivative of sin^2(x)
13:29 Example 4 - Derivative of -3/(2x+5)^2
📝 Examples Video: https://youtu.be/l1AkdUhc6eU
⏩ Next Lesson: https://youtu.be/vwlNZcHOjtw
📺 Course Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54
🌐 Visit My Website: https://www.jkmathematics.com
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College Rule Paper: https://amzn.to/3NOJaTN
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Calculus Workbook: https://amzn.to/3r8SnNP
⚡️Textbooks I Use⚡️
Calculus 1 & 2: https://amzn.to/3PzfI5F
Calculus 3: https://amzn.to/46rSy76
Financial Mathematics: https://amzn.to/3ppIVW0
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(Commissions earned on qualifying purchases)
Find me on social media:
Facebook: https://www.facebook.com/jkmathematics
Twitter: https://twitter.com/jk_mathematics
Instagram: @jk_mathematics
Thanks for watching! Any questions? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
Видео The Chain Rule | Calculus Lesson 16 - JK Math канала JK Math
➡️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculus1-worksheet-set
🖥️ Join My Membership Site: https://www.jkmathematics.com/plus
In this lesson we learn about when and how to use the chain rule for derivatives. We discuss how to use the chain rule to take derivatives of composite functions, and briefly review what composite functions are. We look at various example problems to practice using the chain rule, focusing on the concept of “inner” and “outer” functions to help us arrive at our answers.
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 A Review on Composite Functions
1:36 When The Chain Rule Should be Used
3:59 What is the Chain Rule?
6:27 Example 1 - Derivative of sin(9x)
8:23 Example 2 - Derivative of sqrt(x^2+3)
11:17 Example 3 - Derivative of sin^2(x)
13:29 Example 4 - Derivative of -3/(2x+5)^2
📝 Examples Video: https://youtu.be/l1AkdUhc6eU
⏩ Next Lesson: https://youtu.be/vwlNZcHOjtw
📺 Course Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54
🌐 Visit My Website: https://www.jkmathematics.com
⚡️Math Products I Recommend⚡️
Graphing Calculator: https://amzn.to/3XuUcB9
Non-Graphing Calculator: https://amzn.to/46hHJ7E
Financial Calculator: https://amzn.to/3CRe9s4
Graphing Paper: https://amzn.to/46mAfAr
College Rule Paper: https://amzn.to/3NOJaTN
My Favorite Pencil: https://amzn.to/3NOFMIB
My Favorite Erasers: https://amzn.to/3PumUQB
Calculus Workbook: https://amzn.to/3r8SnNP
⚡️Textbooks I Use⚡️
Calculus 1 & 2: https://amzn.to/3PzfI5F
Calculus 3: https://amzn.to/46rSy76
Financial Mathematics: https://amzn.to/3ppIVW0
⚡️My Recording Equipment⚡️
iPad Air: https://amzn.to/3phEug1
Apple Pencil (Gen 2): https://amzn.to/3Nl45MM
Tablet Desk Stand: https://amzn.to/4420rPh
External Hardrive: https://amzn.to/44pkEyh
(Commissions earned on qualifying purchases)
Find me on social media:
Facebook: https://www.facebook.com/jkmathematics
Twitter: https://twitter.com/jk_mathematics
Instagram: @jk_mathematics
Thanks for watching! Any questions? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
Видео The Chain Rule | Calculus Lesson 16 - JK Math канала JK Math
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25 января 2022 г. 2:00:22
00:17:17
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