Π£ Π½Π°Ρ Π²Ρ ΠΌΠΎΠΆΠ΅ΡΠ΅ ΠΏΠΎΡΠΌΠΎΡΡΠ΅ΡΡ Π±Π΅ΡΠΏΠ»Π°ΡΠ½ΠΎ Derivative of Hyperbolic Functions Examples | Calculus - JK Math ΠΈΠ»ΠΈ ΡΠΊΠ°ΡΠ°ΡΡ Π² ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ½ΠΎΠΌ ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅, Π²ΠΈΠ΄Π΅ΠΎ ΠΊΠΎΡΠΎΡΠΎΠ΅ Π±ΡΠ»ΠΎ Π·Π°Π³ΡΡΠΆΠ΅Π½ΠΎ Π½Π° ΡΡΡΠ±. ΠΠ»Ρ Π·Π°Π³ΡΡΠ·ΠΊΠΈ Π²ΡΠ±Π΅ΡΠΈΡΠ΅ Π²Π°ΡΠΈΠ°Π½Ρ ΠΈΠ· ΡΠΎΡΠΌΡ Π½ΠΈΠΆΠ΅:
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ΠΡΠ»ΠΈ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΠ΅ΠΌ Π²ΠΈΠ΄Π΅ΠΎ, ΠΏΠΎΠΆΠ°Π»ΡΠΉΡΡΠ° Π½Π°ΠΏΠΈΡΠΈΡΠ΅ Π² ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΡ ΠΏΠΎ Π°Π΄ΡΠ΅ΡΡ Π²Π½ΠΈΠ·Ρ
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Example Problems For How to Find the Derivative of Hyperbolic Functions (Calculus) β‘οΈ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculu... π₯οΈ Join My Membership Site: https://www.jkmathematics.com/plus In this video we look at practice problems for finding the derivative of hyperbolic functions. 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 look at several example problems of taking the derivative of these functions using their derivative rules, explaining each step along the way. 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 Example 1 - sinh(8x) 1:06 Example 2 - cosh(x^4)/4 2:29 Example 3 - x*sinhx-coshx 4:42 Example 4 - 2tanh(x/2) 5:53 Example 5 - x^2*cothx 7:34 Example 6 - tanh(cothx) 9:08 Example 7 - sechx/x 11:20 Example 8 - csch^3(x) 13:57 Example 9 - sinh(5x)*cosh(5x) 16:02 Example 10 - ln(tanhx) π Lesson Video For These Examples: Β Β Β β’Β DerivativeΒ ofΒ HyperbolicΒ FunctionsΒ |Β Calcu...Β Β β© Next Lesson: Β Β Β β’Β IntegratingΒ HyperbolicΒ FunctionsΒ |Β Calculu...Β Β πΊ Course Playlist: Β Β Β β’Β CalculusΒ 1Β Β π Visit My Website: https://www.jkmathematics.com β‘οΈMath Products I Recommendβ‘οΈ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP β‘οΈTextbooks I Useβ‘οΈ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 β‘οΈMy Recording Equipmentβ‘οΈ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook: Β Β /Β jkmathematicsΒ Β Twitter: Β Β /Β jk_mathematicsΒ Β Instagram: @jk_mathematics Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! -Josh from JK Math #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.