filmov
tv
Derivative of Hyperbolic Functions | Calculus Lesson 52 - JK Math
Показать описание
How to Find the Derivative of Hyperbolic Functions (Calculus Lesson 52)
In this lesson we learn about hyperbolic functions and how to find their derivatives. The hyperbolic functions are a special class of exponential functions, and include sinh(x), cosh(x), tanh(x), coth(x), sech(x), and csch(x). We learn the derivative rules for each of these functions, and look at how to use them with example problems.
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 Intro
0:13 What are Hyperbolic Functions?
2:20 Hyperbolic Identities
3:41 Derivative of sinh(x)
6:59 Derivative Rules For Hyperbolic Functions
9:37 Example 1 - 3sinh(x^2)
10:45 Example 2 - tanh(2e^x)
11:43 Example 3 - ln(cosh(x))
13:28 Example 4 - x*coth(x)
14:54 Example 5 - sech^2(x)
17:10 Example 6 - csch(x^3-x)
18:45 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? 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.
In this lesson we learn about hyperbolic functions and how to find their derivatives. The hyperbolic functions are a special class of exponential functions, and include sinh(x), cosh(x), tanh(x), coth(x), sech(x), and csch(x). We learn the derivative rules for each of these functions, and look at how to use them with example problems.
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 Intro
0:13 What are Hyperbolic Functions?
2:20 Hyperbolic Identities
3:41 Derivative of sinh(x)
6:59 Derivative Rules For Hyperbolic Functions
9:37 Example 1 - 3sinh(x^2)
10:45 Example 2 - tanh(2e^x)
11:43 Example 3 - ln(cosh(x))
13:28 Example 4 - x*coth(x)
14:54 Example 5 - sech^2(x)
17:10 Example 6 - csch(x^3-x)
18:45 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? 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.
0:10:08
Derivatives of Hyperbolic Functions
0:12:48
Derivatives of Inverse Hyperbolic Functions
0:05:59
How to find the Derivative of Hyperbolic Functions
0:07:34
Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses
0:11:27
Derivatives of all hyperbolic functions (proofs)
0:04:21
Derivatives of HYPERBOLIC functions (KristaKingMath)
0:03:57
Derivative of hyperbolic sine
1:16:06
Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions
0:01:22
Calculus 2: Hyperbolic Functions (26 of 57) Derivative of Hyperbolic Functions to Trig Functions
0:00:34
Derivatives of Hyperbolic Functions
0:19:21
Derivative of Hyperbolic Functions | Calculus Lesson 52 - JK Math
0:15:04
CALCULUS 1 | Derivatives of Inverse Hyperbolic Functions
0:16:16
Derivative of Hyperbolic Functions (Tagalog/Filipino Math)
0:10:12
Hyperbolic Trig Functions - Basic Introduction
0:11:46
Hyperbolic Trig Identities
0:12:30
Differentiation of Hyperbolic Functions
0:16:21
Derivatives of Hyperbolic Functions Tagalog
0:05:33
Derivative of Hyperbolic Functions
0:08:34
Hyperbolic Derivatives
0:08:13
Integral of Hyperbolic Functions
0:12:54
🔶25 - Derivatives of Hyperbolic and Inverse Hyperbolic Functions
0:09:10
Evaluating Inverse Hyperbolic Functions
0:03:40
Calculus 2: Hyperbolic Functions (21 of 57) Find the derivative of (tanh x)=?
0:12:20
Derivatives of Hyperbolic Functions
Комментарии