If y^y=x, then dy/dx=? (ft. Lambert W function)

We will find the derivative of y^y=x and will also use the Lambert W function to simplify the final result. ----- This channel is dedicated to creating helpful calculus tutorials for high school and college students around the world. Thank you to these Patreon members for building this with me 3Blue1Brown • Allison Lamery • Anthony Hunting • Anyway • Ben Delo • Caoimhe Seymour • charlie lewinski • Corey Rufener • CTAR • David I Miller • Doc Ockey • exchsac • Gramps • Hayden S • huguens nevelus • jappiesaus • Jessica • Johan Renko • Karl Tang-Wang • Manil Trivedi • Mark Pagura • MarkM • Mas • Michael ZHOU • Michelle Liang • Mister Hardware • Mizel Cluett • Nerd • Nicolai Lilly • Ricardo Murillo • Rohan • SaltyFishbutwithDream • Sebastian Correa • Sharnay Ampos • Steven McEwan • Subotai Baghatur • Terry Chang • Tomaz Mevlja • Torbjörn Karlsson • Whoever • Zero • Zhansu • Matthias Beeler • bontle sjm • 博鈞 林 (Updated: October 2026   / blackpenredpen  ) -----