blackpenredpen | comparing cbrt(x) vs ln(x) @blackpenredpen | Uploaded 3 years ago | Updated 22 seconds ago
Which function is eventually bigger: the cube root function or the natural logarithm function? Visit brilliant.org/blackpenredpen to start learning and exploring fun Brilliant courses. That link also gives you a 20% off discount on their premium subscription.
In this video, we will compare radical function and logarithmic function: which one is eventually larger? We can take the limit as x goes to the infinity of their ratio. With L'Hospital's Rule, we can see that the cube root of x should be eventually larger. So can we find the other point of intersection?
Here's a lecture on the Lambert W function: youtu.be/Qb7JITsbyKs
0:00 sqrt(x) vs. ln(x)
0:39 cbrt(x) vs. ln(x)
4:27 the most satisfying part
4:48 learn more interesting math on Brillaint!
5:47 solving cbrt(x)=ln(x)
9:45 different branches of W(x)
π If you enjoy my videos, then you can click here to subscribe youtube.com/blackpenredpen?sub_confirmation=1
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music:
Monkeys Spinning Monkeys by Kevin MacLeod http://incompetech.com
Creative Commons β Attribution 4.0 International β CC BY 4.0
Free Download / Stream: bit.ly/Msm-Km
Music promoted by Audio Library youtu.be/GQCoV1TarO4
Thank you,
blackpenredpen
Which function is eventually bigger: the cube root function or the natural logarithm function? Visit brilliant.org/blackpenredpen to start learning and exploring fun Brilliant courses. That link also gives you a 20% off discount on their premium subscription.
In this video, we will compare radical function and logarithmic function: which one is eventually larger? We can take the limit as x goes to the infinity of their ratio. With L'Hospital's Rule, we can see that the cube root of x should be eventually larger. So can we find the other point of intersection?
Here's a lecture on the Lambert W function: youtu.be/Qb7JITsbyKs
0:00 sqrt(x) vs. ln(x)
0:39 cbrt(x) vs. ln(x)
4:27 the most satisfying part
4:48 learn more interesting math on Brillaint!
5:47 solving cbrt(x)=ln(x)
9:45 different branches of W(x)
π If you enjoy my videos, then you can click here to subscribe youtube.com/blackpenredpen?sub_confirmation=1
---------------------------------------------------------------------------------------------------
***Thanks to ALL my lovely patrons for supporting my channel and believing in what I do***
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 ΕehΓ‘k 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
---------------------------------------------------------------------------------------------------
πͺ If you would also like to support this channel and have your name in the video description, then you could become my patron here patreon.com/blackpenredpen
π¬ Shop math t-shirt & hoodies: teespring.com/stores/blackpenredpen
10% off with the code "TEESPRINGWELCOME10"
π IG: instagram.com/blackpenredpen
βοΈ Twitter: twitter.com/blackpenredpen
Equipment:
π Expo Markers (black, red, blue): amzn.to/2T3ijqW
π The whiteboard: amzn.to/2R38KX7
π Ultimate Integrals On Your Wall: teespring.com/calc-2-integrals-on-wall
music:
Monkeys Spinning Monkeys by Kevin MacLeod http://incompetech.com
Creative Commons β Attribution 4.0 International β CC BY 4.0
Free Download / Stream: bit.ly/Msm-Km
Music promoted by Audio Library youtu.be/GQCoV1TarO4
Thank you,
blackpenredpen
