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  Inverse Hyperbolic Function

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Inverse hyperbolic function

In mathematics, the inverse hyperbolic functions are the inverse functions of the hyperbolic functions.

For a given value of a hyperbolic function, the corresponding inverse hyperbolic function provides a so-called hyperbolic angle. The size of the hyperbolic angle is equal to the area of the corresponding hyperbolic sector of the hyperbola xy = 1, or twice the area of the corresponding sector of the unit hyperbola x² − y² = 1, just as a circular angle is twice the area of the circular sector of the unit circle. Some authors have called inverse hyperbolic functions "area functions" to realize the hyperbolic angles.

Notation

The most common abbreviations are ar- followed by abbreviation of the hyperbolic function (arsinh, arcosh, etc.).

However, arc- followed by the hyperbolic function (for example arcsinh, arccosh), are also commonly seen by analogy with the nomenclature for inverse trigonometric functions. The latter are misnomers, since the prefix arc is the abbreviation for arcus, while the prefix ar stands for area.

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Inverse_hyperbolic_function

Hyperbolic function

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular functions. The basic hyperbolic functions are the hyperbolic sine "sinh" (/ˈsɪntʃ/ or /ˈʃaɪn/), and the hyperbolic cosine "cosh" (/ˈkɒʃ/), from which are derived the hyperbolic tangent "tanh" (/ˈtæntʃ/ or /ˈθæn/),hyperbolic cosecant "csch" or "cosech" (/ˈkoʊʃɛk/ or /ˈkoʊsɛtʃ/), hyperbolic secant "sech" (/ˈʃɛk/ or /ˈsɛtʃ/), and hyperbolic cotangent "coth" (/ˈkoʊθ/ or /ˈkɒθ/), corresponding to the derived trigonometric functions. The inverse hyperbolic functions are the area hyperbolic sine "arsinh" (also called "asinh" or sometimes "arcsinh") and so on.

Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the equilateral hyperbola. The hyperbolic functions take a real argument called a hyperbolic angle. The size of a hyperbolic angle is twice the area of its hyperbolic sector. The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector.

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Hyperbolic_function

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9:10

Evaluating Inverse Hyperbolic Functions

• Order: Reorder
• Duration: 9:10
• Uploaded Date: 20 Apr 2023
• views: 59869

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• Order: Reorder
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This calculus video tutorial explains how to find the derivatives of inverse hyperbolic functions. Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

https://wn.com/Derivatives_Of_Inverse_Hyperbolic_Functions

This calculus video tutorial explains how to find the derivatives of inverse hyperbolic functions. Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

• published: 23 Apr 2023
• views: 71384

7:34

Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses

• Order: Reorder
• Duration: 7:34
• Uploaded Date: 17 Aug 2018
• views: 378809

We've learned about trigonometric functions, which relate to the unit circle. So what are hyperbolic functions? Why, those relate to the hyperbola of course! Th...

We've learned about trigonometric functions, which relate to the unit circle. So what are hyperbolic functions? Why, those relate to the hyperbola of course! They are a little strange, but once we go through some details they will start to make sense a little bit. Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON► http://patreon.com/ProfessorDaveExplains Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT

https://wn.com/Hyperbolic_Functions_Definitions,_Identities,_Derivatives,_And_Inverses

We've learned about trigonometric functions, which relate to the unit circle. So what are hyperbolic functions? Why, those relate to the hyperbola of course! They are a little strange, but once we go through some details they will start to make sense a little bit. Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON► http://patreon.com/ProfessorDaveExplains Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT

• published: 17 Aug 2018
• views: 378809

7:05

Calculus 2: Hyperbolic Functions (29 of 57) What are Inverse Hyperbolic Functions?

• Order: Reorder
• Duration: 7:05
• Uploaded Date: 04 Nov 2017
• views: 19519

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are inverse hyperbolic functions and compare them the inv...

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are inverse hyperbolic functions and compare them the inverse of trig functions. Next video in the series can be seen at: https://youtu.be/awLwGSK9Kj0

https://wn.com/Calculus_2_Hyperbolic_Functions_(29_Of_57)_What_Are_Inverse_Hyperbolic_Functions

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are inverse hyperbolic functions and compare them the inverse of trig functions. Next video in the series can be seen at: https://youtu.be/awLwGSK9Kj0

• published: 04 Nov 2017
• views: 19519

15:13

Graphs of Inverse Hyperbolic Functions

• Order: Reorder
• Duration: 15:13
• Uploaded Date: 21 Apr 2023
• views: 16118

This calculus video tutorial provides a basic introduction into the graphs of inverse hyperbolic functions. Hyperbolic Trig Functions: h...

This calculus video tutorial provides a basic introduction into the graphs of inverse hyperbolic functions. Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

https://wn.com/Graphs_Of_Inverse_Hyperbolic_Functions

This calculus video tutorial provides a basic introduction into the graphs of inverse hyperbolic functions. Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

• published: 21 Apr 2023
• views: 16118

8:43

Inverse Hyperbolic Functions - Derivatives

• Order: Reorder
• Duration: 8:43
• Uploaded Date: 19 Apr 2009
• views: 194422

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Inverse Hyperbolic Functions ...

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Inverse Hyperbolic Functions - Derivatives. In this video, I give the formulas for the derivatives on the inverse hyperbolic functions and do 3 examples of finding derivatives. For more free math videos, visit http://PatrickJMT.com

https://wn.com/Inverse_Hyperbolic_Functions_Derivatives

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Inverse Hyperbolic Functions - Derivatives. In this video, I give the formulas for the derivatives on the inverse hyperbolic functions and do 3 examples of finding derivatives. For more free math videos, visit http://PatrickJMT.com

• published: 19 Apr 2009
• views: 194422

8:02

Inverse Hyperbolic Functions

• Order: Reorder
• Duration: 8:02
• Uploaded Date: 14 Mar 2022
• views: 17547

https://wn.com/Inverse_Hyperbolic_Functions

• published: 14 Mar 2022
• views: 17547

10:14

inverse sinh(x)

• Order: Reorder
• Duration: 10:14
• Uploaded Date: 12 Feb 2017
• views: 137069

see playlist for more: https://www.youtube.com/playlist?list=PLj7p5OoL6vGzuzhYkqsR4_O3GIKe5-_29&disable_polymer=true sinh^-1(x), Arcsinh(x), inverse sinh(x), ...

see playlist for more: https://www.youtube.com/playlist?list=PLj7p5OoL6vGzuzhYkqsR4_O3GIKe5-_29&disable_polymer=true sinh^-1(x), Arcsinh(x), inverse sinh(x), inverse hyperbolic sine,

https://wn.com/Inverse_Sinh(X)

see playlist for more: https://www.youtube.com/playlist?list=PLj7p5OoL6vGzuzhYkqsR4_O3GIKe5-_29&disable_polymer=true sinh^-1(x), Arcsinh(x), inverse sinh(x), inverse hyperbolic sine,

• published: 12 Feb 2017
• views: 137069

13:17

Graphs of Inverse Hyperbolic Functions | ExamSolutions

• Order: Reorder
• Duration: 13:17
• Uploaded Date: 22 Aug 2014
• views: 21007

Here you will learn how to draw the inverse hyperbolic graphs, arsinh x, arcosh x, artanh x, arsech x, arcosech x and arcoth x. RELATED TUTORIALS hyperbolic fu...

Here you will learn how to draw the inverse hyperbolic graphs, arsinh x, arcosh x, artanh x, arsech x, arcosech x and arcoth x. RELATED TUTORIALS hyperbolic functions: (Playlist includes identities) https://www.youtube.com/playlist?list=PL5pdglZEO3NhrIXtacT4649ybrIEt5u35 differentiation of hyperbolic functions: https://www.youtube.com/playlist?list=PL5pdglZEO3Nj0mwpZ9KTSying6azWqX-t Integration of hyperbolic functions playlist: https://www.youtube.com/playlist?list=PL5pdglZEO3NgwJ1GnQj1GQ4hZp2toRkuR YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. FACEBOOK: https://www.facebook.com/examsolutions.net/ NEW INSTAGRAM: https://www.instagram.com/examsolutionsguy/ TWITTER: https://twitter.com/ExamSolutions THE BEST THANK YOU: https://www.examsolutions.net/donation/

https://wn.com/Graphs_Of_Inverse_Hyperbolic_Functions_|_Examsolutions

Here you will learn how to draw the inverse hyperbolic graphs, arsinh x, arcosh x, artanh x, arsech x, arcosech x and arcoth x. RELATED TUTORIALS hyperbolic functions: (Playlist includes identities) https://www.youtube.com/playlist?list=PL5pdglZEO3NhrIXtacT4649ybrIEt5u35 differentiation of hyperbolic functions: https://www.youtube.com/playlist?list=PL5pdglZEO3Nj0mwpZ9KTSying6azWqX-t Integration of hyperbolic functions playlist: https://www.youtube.com/playlist?list=PL5pdglZEO3NgwJ1GnQj1GQ4hZp2toRkuR YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. FACEBOOK: https://www.facebook.com/examsolutions.net/ NEW INSTAGRAM: https://www.instagram.com/examsolutionsguy/ TWITTER: https://twitter.com/ExamSolutions THE BEST THANK YOU: https://www.examsolutions.net/donation/

• published: 22 Aug 2014
• views: 21007

20:05

CALCULUS 2 | Integrals Leading to Inverse Hyperbolic Functions

• Order: Reorder
• Duration: 20:05
• Uploaded Date: 16 Nov 2022
• views: 1294

The topic is about integrals that result to inverse hyperbolic functions. Basic problems are solved. More basic and advanced problems are provided in INDEFINIT...

The topic is about integrals that result to inverse hyperbolic functions. Basic problems are solved. More basic and advanced problems are provided in INDEFINITE INTEGRALS | Section Exercises Part 1: Basic Integration Rules https://youtu.be/PkLIHaUuQyM Part 2: Integrals Involving Transcendental Functions https://youtu.be/8lveMxYQn8Q Part 3: Solving Differential Equations https://youtu.be/5OxKRaSmGVw Related topics in INTEGRAL CALCULUS: Section 2 | INDEFINITE INTEGRALS Basic Integration Rules https://youtu.be/-3j99XVV46I Integrals Leading to Logarithmic Functions https://youtu.be/tLDLQkY7xbE Integrals of Exponential Functions https://youtu.be/zW4fgc-Mhtw Integrals of Trigonometric Functions https://youtu.be/dQ5yviE7SIc Integrals Leading to Inverse Trigonometric Functions https://youtu.be/py47wdS3pWY Integrals of Hyperbolic Functions https://youtu.be/lVzjf5lQTYU Integrals Leading to Inverse Hyperbolic Functions https://youtu.be/xrTTUJVVO-w Strategy in Finding Indefinite Integrals https://youtu.be/xzhAFjs4-Ss Solving Differential Equations https://youtu.be/djFiR2R9FMs Section Exercises Part 1: Basic Integration Rules https://youtu.be/PkLIHaUuQyM Part 2: Integrals Involving Transcendental Functions https://youtu.be/8lveMxYQn8Q Part 3: Solving Differential Equations https://youtu.be/5OxKRaSmGVw

https://wn.com/Calculus_2_|_Integrals_Leading_To_Inverse_Hyperbolic_Functions

The topic is about integrals that result to inverse hyperbolic functions. Basic problems are solved. More basic and advanced problems are provided in INDEFINITE INTEGRALS | Section Exercises Part 1: Basic Integration Rules https://youtu.be/PkLIHaUuQyM Part 2: Integrals Involving Transcendental Functions https://youtu.be/8lveMxYQn8Q Part 3: Solving Differential Equations https://youtu.be/5OxKRaSmGVw Related topics in INTEGRAL CALCULUS: Section 2 | INDEFINITE INTEGRALS Basic Integration Rules https://youtu.be/-3j99XVV46I Integrals Leading to Logarithmic Functions https://youtu.be/tLDLQkY7xbE Integrals of Exponential Functions https://youtu.be/zW4fgc-Mhtw Integrals of Trigonometric Functions https://youtu.be/dQ5yviE7SIc Integrals Leading to Inverse Trigonometric Functions https://youtu.be/py47wdS3pWY Integrals of Hyperbolic Functions https://youtu.be/lVzjf5lQTYU Integrals Leading to Inverse Hyperbolic Functions https://youtu.be/xrTTUJVVO-w Strategy in Finding Indefinite Integrals https://youtu.be/xzhAFjs4-Ss Solving Differential Equations https://youtu.be/djFiR2R9FMs Section Exercises Part 1: Basic Integration Rules https://youtu.be/PkLIHaUuQyM Part 2: Integrals Involving Transcendental Functions https://youtu.be/8lveMxYQn8Q Part 3: Solving Differential Equations https://youtu.be/5OxKRaSmGVw

• published: 16 Nov 2022
• views: 1294

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9:10

Evaluating Inverse Hyperbolic Functions

This calculus video tutorial explains how to evaluate inverse hyperbolic functions using a...

published: 20 Apr 2023

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Evaluating Inverse Hyperbolic Functions

Evaluating Inverse Hyperbolic Functions

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• published: 20 Apr 2023
• views: 59869

This calculus video tutorial explains how to evaluate inverse hyperbolic functions using a simple formula. Hyperbolic Functions - Formula Sheet: https://bit.ly/4eZ5gyo _________________________________ Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

• Show More

12:48

Derivatives of Inverse Hyperbolic Functions

This calculus video tutorial explains how to find the derivatives of inverse hyperbolic fu...

published: 23 Apr 2023

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Derivatives of Inverse Hyperbolic Functions

Derivatives of Inverse Hyperbolic Functions

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• published: 23 Apr 2023
• views: 71384

This calculus video tutorial explains how to find the derivatives of inverse hyperbolic functions. Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

• Show More

7:34

Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses

We've learned about trigonometric functions, which relate to the unit circle. So what are ...

published: 17 Aug 2018

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Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses

Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses

• Report rights infringement
• published: 17 Aug 2018
• views: 378809

We've learned about trigonometric functions, which relate to the unit circle. So what are hyperbolic functions? Why, those relate to the hyperbola of course! They are a little strange, but once we go through some details they will start to make sense a little bit. Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON► http://patreon.com/ProfessorDaveExplains Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT

• Show More

7:05

Calculus 2: Hyperbolic Functions (29 of 57) What are Inverse Hyperbolic Functions?

Visit http://ilectureonline.com for more math and science lectures! In this video I will ...

published: 04 Nov 2017

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Calculus 2: Hyperbolic Functions (29 of 57) What are Inverse Hyperbolic Functions?

Calculus 2: Hyperbolic Functions (29 of 57) What are Inverse Hyperbolic Functions?

• Report rights infringement
• published: 04 Nov 2017
• views: 19519

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are inverse hyperbolic functions and compare them the inverse of trig functions. Next video in the series can be seen at: https://youtu.be/awLwGSK9Kj0

• Show More

15:13

Graphs of Inverse Hyperbolic Functions

This calculus video tutorial provides a basic introduction into the graphs of inverse hype...

published: 21 Apr 2023

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Graphs of Inverse Hyperbolic Functions

Graphs of Inverse Hyperbolic Functions

• Report rights infringement
• published: 21 Apr 2023
• views: 16118

This calculus video tutorial provides a basic introduction into the graphs of inverse hyperbolic functions. Hyperbolic Trig Functions: https://www.youtube.com/watch?v=PJRSu0Vf0r0 Hyperbolic Trig Graphs: https://www.youtube.com/watch?v=w_UEjfADQQc Evaluating Hyperbolic Functions: https://www.youtube.com/watch?v=va09U91xHxA Hyperbolic Trig Identities: https://www.youtube.com/watch?v=m9nwdn55Z2w Verifying Hyperbolic Identities: https://www.youtube.com/watch?v=fb4VwLL9Liw Derivatives - Hyperbolic Functions: https://www.youtube.com/watch?v=Q6-QZxUDfE0 __________________________________ Integral of Hyperbolic Functions: https://www.youtube.com/watch?v=2Mz_KYAyUo4 Inverse Hyperbolic Functions: https://www.youtube.com/watch?v=lNIVVYRmbc4 Graphs of Inverse H. Functions: https://www.youtube.com/watch?v=fT96bbivGk8 Limits of Hyperbolic Functions: https://www.youtube.com/watch?v=bVhcT2-QMEc Derivatives of Inverse H. Functions: https://www.youtube.com/watch?v=NQGiOuohNqI ___________________________________ Calculus 1 - Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

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8:43

Inverse Hyperbolic Functions - Derivatives

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :...

published: 19 Apr 2009

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Inverse Hyperbolic Functions - Derivatives

Inverse Hyperbolic Functions - Derivatives

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• published: 19 Apr 2009
• views: 194422

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Inverse Hyperbolic Functions - Derivatives. In this video, I give the formulas for the derivatives on the inverse hyperbolic functions and do 3 examples of finding derivatives. For more free math videos, visit http://PatrickJMT.com

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8:02

Inverse Hyperbolic Functions

published: 14 Mar 2022

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Inverse Hyperbolic Functions

Inverse Hyperbolic Functions

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• published: 14 Mar 2022
• views: 17547

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10:14

inverse sinh(x)

see playlist for more: https://www.youtube.com/playlist?list=PLj7p5OoL6vGzuzhYkqsR4_O3GIKe...

published: 12 Feb 2017

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inverse sinh(x)

inverse sinh(x)

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• published: 12 Feb 2017
• views: 137069

see playlist for more: https://www.youtube.com/playlist?list=PLj7p5OoL6vGzuzhYkqsR4_O3GIKe5-_29&disable_polymer=true sinh^-1(x), Arcsinh(x), inverse sinh(x), inverse hyperbolic sine,

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13:17

Graphs of Inverse Hyperbolic Functions | ExamSolutions

Here you will learn how to draw the inverse hyperbolic graphs, arsinh x, arcosh x, artanh ...

published: 22 Aug 2014

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Graphs of Inverse Hyperbolic Functions | ExamSolutions

Graphs of Inverse Hyperbolic Functions | ExamSolutions

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• published: 22 Aug 2014
• views: 21007

Here you will learn how to draw the inverse hyperbolic graphs, arsinh x, arcosh x, artanh x, arsech x, arcosech x and arcoth x. RELATED TUTORIALS hyperbolic functions: (Playlist includes identities) https://www.youtube.com/playlist?list=PL5pdglZEO3NhrIXtacT4649ybrIEt5u35 differentiation of hyperbolic functions: https://www.youtube.com/playlist?list=PL5pdglZEO3Nj0mwpZ9KTSying6azWqX-t Integration of hyperbolic functions playlist: https://www.youtube.com/playlist?list=PL5pdglZEO3NgwJ1GnQj1GQ4hZp2toRkuR YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. FACEBOOK: https://www.facebook.com/examsolutions.net/ NEW INSTAGRAM: https://www.instagram.com/examsolutionsguy/ TWITTER: https://twitter.com/ExamSolutions THE BEST THANK YOU: https://www.examsolutions.net/donation/

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20:05

CALCULUS 2 | Integrals Leading to Inverse Hyperbolic Functions

The topic is about integrals that result to inverse hyperbolic functions. Basic problems a...

published: 16 Nov 2022

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CALCULUS 2 | Integrals Leading to Inverse Hyperbolic Functions

CALCULUS 2 | Integrals Leading to Inverse Hyperbolic Functions

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• published: 16 Nov 2022
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The topic is about integrals that result to inverse hyperbolic functions. Basic problems are solved. More basic and advanced problems are provided in INDEFINITE INTEGRALS | Section Exercises Part 1: Basic Integration Rules https://youtu.be/PkLIHaUuQyM Part 2: Integrals Involving Transcendental Functions https://youtu.be/8lveMxYQn8Q Part 3: Solving Differential Equations https://youtu.be/5OxKRaSmGVw Related topics in INTEGRAL CALCULUS: Section 2 | INDEFINITE INTEGRALS Basic Integration Rules https://youtu.be/-3j99XVV46I Integrals Leading to Logarithmic Functions https://youtu.be/tLDLQkY7xbE Integrals of Exponential Functions https://youtu.be/zW4fgc-Mhtw Integrals of Trigonometric Functions https://youtu.be/dQ5yviE7SIc Integrals Leading to Inverse Trigonometric Functions https://youtu.be/py47wdS3pWY Integrals of Hyperbolic Functions https://youtu.be/lVzjf5lQTYU Integrals Leading to Inverse Hyperbolic Functions https://youtu.be/xrTTUJVVO-w Strategy in Finding Indefinite Integrals https://youtu.be/xzhAFjs4-Ss Solving Differential Equations https://youtu.be/djFiR2R9FMs Section Exercises Part 1: Basic Integration Rules https://youtu.be/PkLIHaUuQyM Part 2: Integrals Involving Transcendental Functions https://youtu.be/8lveMxYQn8Q Part 3: Solving Differential Equations https://youtu.be/5OxKRaSmGVw

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Inverse hyperbolic function

In mathematics, the inverse hyperbolic functions are the inverse functions of the hyperbolic functions.

For a given value of a hyperbolic function, the corresponding inverse hyperbolic function provides a so-called hyperbolic angle. The size of the hyperbolic angle is equal to the area of the corresponding hyperbolic sector of the hyperbola xy = 1, or twice the area of the corresponding sector of the unit hyperbola x² − y² = 1, just as a circular angle is twice the area of the circular sector of the unit circle. Some authors have called inverse hyperbolic functions "area functions" to realize the hyperbolic angles.

Notation

The most common abbreviations are ar- followed by abbreviation of the hyperbolic function (arsinh, arcosh, etc.).

However, arc- followed by the hyperbolic function (for example arcsinh, arccosh), are also commonly seen by analogy with the nomenclature for inverse trigonometric functions. The latter are misnomers, since the prefix arc is the abbreviation for arcus, while the prefix ar stands for area.

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Inverse_hyperbolic_function

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