Скачать с ютуб the last question on my calc 2 final в хорошем качестве

the last question on my calc 2 final

This is the last question on my calculus 2 final exam! I asked my calculus students to find the slope of the tangent line, the area under the curve, and the arc length of the hyperbolic cosine function cosh(x). Notice the graph of y=cosh(x) is very similar to the parabola y=x^2+1 because the power series expansion for cosh(x) is 1+x^2/2+x^4/4+... The graph of a hyperbolic cosine function is called a catenary (the shape of a hanging chain). I hope my calculus 2 students enjoy this equation and appreciate the cool properties that cosh(x) has! Dear calculus teachers, feel free to put this question on your calculus tests and let me know your students' reactions! : ) #calculus #catenary the last lecture in my calc 1 class 👉    • finding the volume of a Krispy Kreme ...   why arc length = area for cosh(x) 👉    • Area under the curve equals to the ar...   Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Join our channel membership to unlock special perks,: https://bit.ly/34PGH4h 🛍 Shop math t-shirt & hoodies: http://bit.ly/bprpmerch 10% off with the code "WELCOME10" 0:00 the story behind this question 0:33 find the slope of the tangent line to y=cosh(x) at x=4 2:17 find the area under y=cosh(x) from x=0 to x=4 3:31 find the arc length of y=cosh(x) from x=0 to x=4 5:31 why cosh(x) is super cool Equipment: 👉 Expo Markers (black, red, blue): https://amzn.to/3yYLqOf 👉 The whiteboard: https://amzn.to/2R38KX7 👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integral... --------------------------------------------------------------------------------------------------- **Thanks to ALL my lovely patrons for supporting my channel and believing in what I do** AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R --------------------------------------------------------------------------------------------------- 💪 If you would also like to support this channel and have your name in the video description, then you could become my patron here   / blackpenredpen