https://youtu.be/rj02798rht8

In this video I go over the derivative of inverse hyperbolic secant or sech<sup>-1</sup>(x) and show that it is equal to -1/(x·sqrt(1-x<sup>2</sup>)).

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# Derivative of Inverse Hyperbolic Trigonometry: dy/dx sech<sup>-1</sup>(x)

![Derivative of Inverse Hyperbolic Trig  inverse sechx.jpeg](https://files.peakd.com/file/peakd-hive/mes/FqqEZ5DL-Derivative20of20Inverse20Hyperbolic20Trig20-20inverse20sechx.jpeg)

## Derivative of sech<sup>-1</sup>x

![image.png](https://files.peakd.com/file/peakd-hive/mes/JU4JoXX5-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/HlREskx4-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/4hWDyjHs-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/maewSvxc-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/0SEoyx0T-image.png)