Derivative of Hyperbolic Functions | Calculus Lesson 52 - JK Math
How to Find the Derivative of Hyperbolic Functions (Calculus Lesson 52)
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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.
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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 What are Hyperbolic Functions?
2:09 Hyperbolic Identities
3:30 Derivative of sinh(x)
6:48 Derivative Rules For Hyperbolic Functions
9:26 Example 1 - 3sinh(x^2)
10:34 Example 2 - tanh(2e^x)
11:32 Example 3 - ln(cosh(x))
13:17 Example 4 - x*coth(x)
14:43 Example 5 - sech^2(x)
16:59 Example 6 - csch(x^3-x)
📝 Examples Video: • Derivative of Hyperbolic Functions Example...
⏩ Next Lesson: • Integrating Hyperbolic Functions | Calculu...
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