my all-in-one calculus question (uncut) скачать в хорошем качестве

my all-in-one calculus question (uncut)

Learn more calculus here 👉 https://brilliant.org/blackpenredpen/ (20% off with this sponsored link) Here's another all-in-one ultimate calculus question that I came up with! We have the first principle limit definition of derivative of 1/x^2, then the power rule, followed by an infinite geometric series and we will end with an integral with partial fraction decompositions. This is an integral of an infinite series of the derivative of the limit of a difference quotient! I would say this is an ultimate calculus question for the final exam! Free feel to use this for your class if you are also a calculus teacher! #calculus #blackpenredpen If you like this video, then you should watch this video next: "when d/dx(x^2) becomes the hardest question on your calculus final" 👉    • calc 1 final be like (derivative of x^2)   0:00 limit definition of derivative of 1/x^2 2:20 derivative by using the power rule 2:58 infinite geometric series 5:17 partial fraction decomposition with quadratic denominators 10:54 the actual integration 14:12 integral of 1/(1-x^2) is coth^-1(x) when abs(x) is greater than 1 *How to integrate 1/(1-x^2):    • the integral of 1/(1-x^2) (hyperbolic func...  * 16:16 WOW! 17:18 Check out Brilliant For more math for fun videos like this, be sure to subscribe 👉 https://bit.ly/3o2fMNo My just calculus tutorial channel: 👉   / justcalculus   💪 Join our channel membership to unlock special perks: https://bit.ly/34PGH4h 📸 Math notes on my Instagram:   / blackpenredpen   🛍 Shop math t-shirt & hoodies: http://bit.ly/bprpmerch 10% off with the code "WELCOME10" 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 --------------------------------------------------------------------------------------------------- 💪 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