Derivative of Inverse Hyperbolic Functions | Calculus Lesson 54 - JK Math

How to Find the Derivative of Inverse Hyperbolic Functions (Calculus Lesson 54)

In this lesson we learn about inverse hyperbolic functions and how to find their derivatives. The inverse hyperbolic functions include arcsinh(x), arccosh(x), arctanh(x), arccoth(x), arcsech(x), and arccsch(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 The Inverse Hyperbolic Functions
4:20 Derivative of arcsinh(x)
10:54 Derivative Rules For Inverse Hyperbolic Functions
12:55 Example 1 - arcsinh(2x)
14:08 Example 2 - arctanh(sqrt(x))
16:26 Example 3 - arccsch^2(x)
18:36 Outro

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