Differentiating and Integrating Power Series

Differentiating and Integrating Power Series - Two examples are shown of integrating or differentiating a known power series to derive a power series representation for a new function. For more free videos visit http://PatrickJMT.com

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Category:

Education

Tags:

• Differentiating
• Integrating
• Power
• Series
• taylor
• maclaurin
• calculus
• math
• interval
• convergence
• BC
• AP
• justmathtutoring.com

[runback1983]

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[patrickJMT]

@runback1983 ha, i dont think bill gates is sitting around waiting for me to call : ) but thanks for the encouragement!

[scilabo]

@patrickJMT We would support you in this endeavour!

[patrickJMT]

@scilabo ok, go tell them! not much i can do about it

[mytwohands]

@patrickJMT I've been watching Khan Academy for the last few months. You really picked up where he left off in the Calculus series. I'm totally a Patrick JMT convert and tell everyone in my calc class about it. I really think if you were to collaborate, it would take the educational community by storm. Thank you for all you do here! I will definitely donate to the cause as soon as I'm not a terribly poor college student!

[patrickJMT]

@mytwohands thanks for spreading the word : ) i have emailed him but i do not think he is interested : )

[patrickJMT]

@abthurd you should watch the video about: radius of convergence

[imkaneforever]

was that Cathron calling you :P

[katherine55100]

This video definitely helped a lot! I like how you got right to the point instead of drawing out useless information like some videos!

[heat3]

hopefully u can do more examples on this type of questions

[eyekantbeme]

Khana < rootmath < Patrick JMT

That's just how it goes...... ;)

[RIOLITE1]

this one is hard :(

[AtheylStarcraft]

I'm in calc 2 here at UMass and my professor is not the best at explaining this. But you go into detail and thought process for each step and because of this video I now understand what my professor has been trying to teach us for the past two weeks. Thank you.

[Billabong024]

wonderful. You are going to heaven my friend.

[conglacious]

@patrickJMT You were there for us in some of our darkest and most desperate times of need. You are helping future scientists, doctors, engineers(me), and mathematicians. These are the people who are going to be forging a better path for humanity. You are helping mankind progress and the world will be better for it. Thank you Patrick.

[foundede]

@desertfox1792 Look carefully. On the right side, the 2 in the numerator cancels the 2 in the denominator. What is left is exactly equal to the left side. Hence, no error ;)

[desertfox1792]

4:30 how can you randomly put x^2/2 on the right side without doing it to the left?

[NomCerealNom]

For the series, it starts at zero. So the first term would be (2x)^0 = 1. If you take the derivative of the series, wouldn't it mean the same thing as taking the derivative of the values? The derivative of 1 would be 0. Therefore n should still start at zero. Correct me if I'm wrong.