blackpenredpen | My First Berkeley Math Tournament Problem @blackpenredpen | Uploaded 2 years ago | Updated 1 hour ago
We will solve my first Berkeley Math Tournament https://bmt.berkeley.edu/ calculus problem on UC Berkeley Campus. This question is from the calculus part of the 2020 BMT. We are given f'(1)=1 and f(y)-f(x)=x^x/y^yf(y^y/x^x) and we have to find f(2020^2)/f(2020). Since we are given f'(1)=1 and the property shows the difference between the function of two different inputs, we should proceed by using the definition of the derivative to solve this functional equation. Watch the find out the rest!
BMT 2022 will be held on the UC Berkeley campus on Saturday, November 5, 2022!
There will also be an informal asynchronous BMT online for those of you who are unable to make it in person.
For more info: https://bmt.berkeley.edu/
Past tournament tests & solutions: https://www.ocf.berkeley.edu/~bmt/archive/
Contact them at questions@bmt.berkeley.edu.
๐ Shop math t-shirts & hoodies: http://bit.ly/bprpmerch
10% off with the code "WELCOME10"
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***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 ลehรกk 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 meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva
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๐ช If you would also like to support this channel and have your name in the video description, then you could become my patron here patreon.com/blackpenredpen
We will solve my first Berkeley Math Tournament https://bmt.berkeley.edu/ calculus problem on UC Berkeley Campus. This question is from the calculus part of the 2020 BMT. We are given f'(1)=1 and f(y)-f(x)=x^x/y^yf(y^y/x^x) and we have to find f(2020^2)/f(2020). Since we are given f'(1)=1 and the property shows the difference between the function of two different inputs, we should proceed by using the definition of the derivative to solve this functional equation. Watch the find out the rest!
BMT 2022 will be held on the UC Berkeley campus on Saturday, November 5, 2022!
There will also be an informal asynchronous BMT online for those of you who are unable to make it in person.
For more info: https://bmt.berkeley.edu/
Past tournament tests & solutions: https://www.ocf.berkeley.edu/~bmt/archive/
Contact them at questions@bmt.berkeley.edu.
๐ Shop math t-shirts & hoodies: http://bit.ly/bprpmerch
10% off with the code "WELCOME10"
----------------------------------------
***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 ลehรกk 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 meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva
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๐ช If you would also like to support this channel and have your name in the video description, then you could become my patron here patreon.com/blackpenredpen
