Problems Plus 1: 15th Derivative of sin(x^3) at x = 0
In this video I go over Problem 1 which asks us to determine the 15th derivative at x = 0 for the function sin(x^3). Instead of manually solving the derivatives one by one, we can instead use the Maclaurin series for sin(x), replace x with x^3, and then solve for the 15th derivative for the corresponding series coefficient.
The timestamps of key parts of the video are listed below:
- Problem 1: 15th Derivative of sin(x^3) at x = 0: 0:00
- Maclaurin Series for sin(x): 0:40
- Derivatives as Series Coefficients: 3:30
- Calculation Check: 5:06
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
3:34:54
Math Easy Solutions
12 days ago $0.21 earnedMES Livestream 75: Mystery Objects on 9/11
3932 -
52:05
PMG
10 hours agoWhat Does Freedom Cost? Steven Solomon's On-the-Ground Documentary in Ukraine
318 -
2:38:54
TimcastIRL
10 hours agoElon Secret Child Scandal ERUPTS, Ashley St. Clair Story Goes Viral w/Bethany Mandel | Timcast IRL
157K106 -
2:04:52
Kim Iversen
12 hours agoElon's Pumping Out Babies Like They're Tesla Model 3's | EU Panics Over Peace Talks, Wants More War
151K150 -
1:05:35
Man in America
15 hours agoFort Knox & Trump’s Secret Gold Move—The Financial Reset NO ONE Is Ready For?
106K125 -
2:21:20
Robert Gouveia
12 hours agoTrump Goes to SCOTUS! Judge CAVES on DOGE? Fani Willis Not Happy!
120K32 -
20:41
Stephen Gardner
12 hours ago🔥You Won't BELIEVE What JUST Happened To Don Trump Jr.!!
119K201 -
58:00
The StoneZONE with Roger Stone
10 hours agoEuropean Leaders Resist Trump Peace Overtures To Their Own Demise | The StoneZONE w/ Roger Stone
81.7K12 -
9:29
AlaskanBallistics
12 hours ago $8.88 earnedWyoming Suppressors and Rifles at Shot Show 2025
99.2K6 -
1:06:40
Donald Trump Jr.
16 hours agoThe Left is Taking one L After Another, Live with Michael Knowles | Triggered Ep. 217
188K144
1 Comment