Problems Plus 25: Differentiating Multiple Power Series
In this video I go over an interesting math problem which involves differentiating 3 power series to find relationships among them in order to show the given equation is true. In order to differentiate power series, we first need to determine if the series are convergent, which I do so using the Ratio Test. Next we can differentiate the given equation and using our obtained relationships, can show that the equation equals a constant. Plugging in x = 0 into the equation, we can thus simply solve for this constant, and thus prove our given equation.
The timestamps of key parts of the video are listed below:
- Problem 25: 0:00
- Solution: Using the Ratio Test to determine convergence: 1:33
- Term by Term Differentiation: 8:35
- Differentiating the desired equation: 14:42
- Determining the constant that equals to the desired equation: 20:09
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
-
3:48:02
Math Easy Solutions
17 days ago $0.06 earnedMES Livestream 53: Summary of Evidence of What Did (and Didn't) Happen on 9/11
3061 -
33:33
BonginoReport
3 hours agoJohn Kerry Declares War on the Constitution (Ep.53) - 09/30/24
16.4K43 -
LIVE
Danny Haiphong
2 hours agoIsrael Launches WAR on Lebanon, K*lls Nasrallah, Iran Next? w/ Jeffrey Sachs & Mohammad Marandi
501 watching -
1:28:31
Game On!
10 hours agoTom Brady Embarrasses Baker Mayfield!
8.22K -
AP4Liberty
2 hours agoNetflix Endorses Kamala Harris: Cancellations Spike!
8.27K4 -
LIVE
Jeff Ahern
1 hour agoMonday Madness With Jeff Ahern (6am Pacific)
354 watching -
40:00
Popcorn In Bed
23 hours agoHEAT (1995) | FIRST TIME WATCHING | MOVIE REACTION
14.5K2 -
28:08
Science & Futurism with Isaac Arthur
1 day agoLife As An Asteroid Miner
31.7K9 -
13:05
ThinkStory
22 hours agoFROM Season 3 Episode 2 Breakdown, Theories & Clues!
15.8K2 -
2:21
Memology 101
1 day ago $0.48 earnedJohn Kerry says "1st Amendment stands as a MAJOR BLOCK" to THEIR ability to control the "FACTS"
28.3K52