calculus teacher vs "I know it already" student

Learn more calculus on Brilliant: https://brilliant.org/blackpenredpen/ (now with a 30-day free trial)

We will tackle a famous calculus problem using the definition of the derivative, forcing even the most confident students to dig deep and truly understand the concept. Watch as we derive the derivative of f(x)=x^2*sin(1/x), including the challenging part of handling the derivative at x=0, where the function is not differentiable. But we don't stop there - we also introduce the squeeze theorem, a powerful tool to evaluate limits, to further deepen our understanding of calculus. This video is perfect for anyone looking to enhance their calculus knowledge and master the fundamental concepts of derivatives.

Related video: Calculus Teacher vs Power Rule Students:    • Calculus Teacher vs. Power Rule Student  

0:00 If you are also a calculus teacher
0:39 f(x)=x^2*sin(1/x) when x is not 0 and f(0)=0
7:13 check out Brilliant

🛍 Shop math t-shirts & hoodies: https://blackpenredpen.creator-spring...
10% off with the code "WELCOME10"
----------------------------------------
💪 Support the channel and get featured in the video description by becoming a patron:   / blackpenredpen  
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 meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva Samuel N Anthony Rogers Mark Madsen Robert Da Costa Nathan Kean Timothy Raymond Gregory Henzie Lauren Danielle Nadia Rahman Evangline McDonald Yuval Blatt
----------------------------------------
Thank you all!