You probably haven't solved a quartic equation like this before!
I was trying to find the maximum of f(x)=1/((2-x)^2+1)+1/(x^2+1). After taking the derivative and setting it equal to zero, I encountered this quartic equation. At first glance, this quartic equation is not factorable, but after further investigation, I found a nice way to solve it. Shop the Xmas Three sweatshirt: https://amzn.to/4geMKCE ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Jordan T Batman 1127 Mathguru Дмитрий П 💪 Support this channel and get my math notes by becoming a patron: / blackpenredpen 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #apcalculus
so you want a VERY HARD math question?!
Can d^2y/dx^2=(dy/dx)^2?
a+b+c+d+e = abcde
The Easiest Integral on YouTube
A Simple Quartic Equation Solved by 2 METHODS
The most interesting differential equation you have seen.
Forensic Science Is Not As Accurate As You Think
Why is there no equation for the perimeter of an ellipse‽
How to Solve ANY Cubic or Quartic Equation!
3 factoring tricks that you probably didn’t know
We're 99.9% sure this pattern is true, but no one can prove it
How do you solve this? Functional equation for precalculus students
A cubic formula that you probably haven't seen before!
Math for fun, sin(z)=2
if x+y=8, find the max of x^y (Lambert W function)
The Subtle Reason Taylor Series Work | Smooth vs. Analytic Functions
Solving a Quartic Equation with Quadratic Techniques
books i want to read this summer | classics, fantasy, summerween!!!
Force Your Brain to Think Like a Genius | Richard Feynman
