Uploaded May 2026 | Updated September 2026, 2 weeks ago
We will solve x^4=x and I will demonstrate a "weird" way to solve x^3=1
The polar way for finding all the cube roots of 1 youtu.be/2NmkWRYPSmA
π Get your Fermat's Last Theorem t-shirt (as seen in video) https://a.co/d/0a5NkPrF
π Support this channel and get more content patreon.com/blackpenredpen
#blackpenredpen #calculus
We will solve x^4=x and I will demonstrate a "weird" way to solve x^3=1
The polar way for finding all the cube roots of 1 youtu.be/2NmkWRYPSmA
π Get your Fermat's Last Theorem t-shirt (as seen in video) https://a.co/d/0a5NkPrF
π Support this channel and get more content patreon.com/blackpenredpen
#blackpenredpen #calculus






![This calculus proof is only for math majors (National Taiwan University entrance exam)
Heres a fun calculus proof from the National Taiwan University entrance exam for transfer students. We will show that If f(0)=0 and abs(f(x)) is less than or equal to abs(f(x)), then f(x)=0 on [0, 1/2]. The key to solving this problem is to apply the Mean Value Theorem and the Extreme Value Theorem. Try the test https://exam.lib.ntu.edu.tw/sites/default/files/exam/undergra/103/18_001-103.pdf
π Shop my math t-shirts & hoodies: π https://amzn.to/3qBeuw6
π Support this channel and get more content https://www.patreon.com/blackpenredpen
#blackpenredpen #calculus This calculus proof is only for math majors (National Taiwan University entrance exam)](https://i.ytimg.com/vi/s3ysYpb2Zqw/mqdefault.jpg)



