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 https://www.patreon.com/blackpenredpen)
----- Receive SMS online on sms24.me

Watch on YouTube

Subscribe on YouTubeReaderBot

TubeReader video aggregator is a website that collects and organizes online videos from the YouTube source. Video aggregation is done for different purposes, and TubeReader take different approaches to achieve their purpose.

Our try to collect videos of high quality or interest for visitors to view; the collection may be made by editors or may be based on community votes.

Another method is to base the collection on those videos most viewed, either at the aggregator site or at various popular video hosting sites.

TubeReader site exists to allow users to collect their own sets of videos, for personal use as well as for browsing and viewing by others; TubeReader can develop online communities around video sharing.

Our site allow users to create a personalized video playlist, for personal use as well as for browsing and viewing by others.

@YouTubeReaderBot allows you to subscribe to Youtube channels.

By using @YouTubeReaderBot Bot you agree with YouTube Terms of Service.

Use the @YouTubeReaderBot telegram bot to be the first to be notified when new videos are released on your favorite channels.

Look for new videos or channels and share them with your friends.

You can start using our bot from this video, subscribe now to If y^y=x, then dy/dx=? (ft. Lambert W function)

What is YouTube?

YouTube is a free video sharing website that makes it easy to watch online videos. You can even create and upload your own videos to share with others. Originally created in 2005, YouTube is now one of the most popular sites on the Web, with visitors watching around 6 billion hours of video every month.