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derivative of sech^-1(x), inverse hyperbolic secant

26.5K views
•
February 28, 2017
by
blackpenredpen
YouTube video player
derivative of sech^-1(x), inverse hyperbolic secant

TL;DR

Learn how to differentiate the inverse hyperbolic Z connects using the properties of logarithms and the chain rule.

Transcript

I'm going to show you guys how to differentiate the inverse hyperbolic Z connects and first we have to know that this is the famous Ln parenthesis 1 plus square root of 1 minus x squared and then over X right however before we differentiate this we can use one of the own property because we know this is the same as Ln of the top and then minus anot... Read More

Key Insights

  • 🤪 The inverse hyperbolic Z connects can be differentiated using the properties of logarithms and the chain rule.
  • 😑 Expressing the function as the difference of two logarithms allows for simpler differentiation.
  • 😑 The chain rule is applied twice in the process of differentiating the expression.

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Summary & Key Takeaways

  • The content provides a step-by-step guide on how to differentiate the inverse hyperbolic Z connects.

  • It explains the properties of logarithms and the chain rule, which are used to simplify the expression before differentiation.

  • The final result is the derivative of the inverse hyperbolic second X.


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