When you apologize for a long video, you realize this 13 minute video helped me more than reading and staring at the textbook for 2 hours and trying to figure out why I have to multiply by a half to the series on part b.
I`m student in ksa in FBSU Your lessons and Your style of the callouts lessons very useful and wonderful I benefited from your lessons of two years thank you so much keep going
I love it when math tutorial videos say they're trying not to let the video go for too long. Meanwhile, that's what some of us want! That's the glory of RUclips, if someone is in a real hury, they can either speed up the video or scrub thru. The skip forward shortkey is "L", which is no problem at all. MAKE THEM LONG! As long as the video stays on topic, I want to learn damn it!!!
on c) if i leave the index equal to 0 and not compensate for the shifting shouldnt that be ok since you are still getting 0's for first two values in the series when n=1 and n=0 ?
Hey, this almost exactly matches the book problem I just did. The only difference is that in my problem, a) was 1/(1+x)^2. Otherwise, exactly the same. So this is perfect. And yes, I also have the book Single Variable Calculus: Early Transcedentals.
This is a great video, now if only you could use functions that didn't have a (1+x) in the denominator and instead had something like (10+x), that would be very helpful!
I was wondering if you could help answer a question that I'm having a really hard time with. It asks to find the derivative of the summation from n=0 to infinity of (-1)^nx^(2n+1) / 3^(2n)(n!)^2. I have no idea how to solve this, your help would be greatly appreciated :)
Patrick the book gives a solution to 1/(1+x)^2 to be the series from n=0 to infinity of (-1)^n*(n+1)*x^n, this differs from what you have, if you could please explain the difference it would be of great help. Thanks!
I'm confused as to how you got the part after the sigma. I'm trying to follow this and solve a different equation with the steps you use but I can't seem to figure out how to get the (-1)^n(n)(n-1)x^(n-2) or (-1)^n(n)x^(n-1) parts???
3:40 no you can't leave it 0 because the stupid WebAssign homework grader will keep saying you're wrong. So you have to make n = 1, once you get you sum formula, change n to 0 and add 1 to all n's in your formula. I don't know, but that;s what WebAssign wants...
OMFFFGGGG so annoying! Please normalize the audio of your video before uploading so I don't have to turn the volume of my computer all the way up in order to hear you
When you apologize for a long video, you realize this 13 minute video helped me more than reading and staring at the textbook for 2 hours and trying to figure out why I have to multiply by a half to the series on part b.
I admittedly do the same thing with my calc book everyday as well. [facepalm]
KimichiSushi 100% true!
+KimichiSushi People learn differently.
can't be anymore truer. Why do textbooks have to be written like darn hieroglyphics T_T
I think you've helped raise the collective gpa of calculus students more than the infinite sum of 1/n
GAACK!!! This stuff takes some intuition I just don't have yet! Keep this up please so I'll have a prayer!
Was panicking all day because I have a quiz over this tomorrow and havent been able to figure it out. You truly rock my dude
I`m student in ksa in FBSU
Your lessons and Your style of the callouts lessons very useful and wonderful
I benefited from your lessons of two years
thank you so much
keep going
I have been confused for weeks, happened upon this video, and now get it! Thank you much.
VERY helpful pat, 8:03 made me giggle. LOVE all your tricks and "what if" situations, they are thoroughly explained which help understand EVERYTHING!
in the 12 minutes i have watched this video, it took my teacher 2 hours. Mad props!
Wow I could not for the life of me understand how to differentiate a function when given a known series... This was a life saver! Thanks so much:)
Your video explained everything well better than my college calculus teacher did.
I love how this is the exact example I was stuck on, thanks!
I love it when math tutorial videos say they're trying not to let the video go for too long. Meanwhile, that's what some of us want! That's the glory of RUclips, if someone is in a real hury, they can either speed up the video or scrub thru. The skip forward shortkey is "L", which is no problem at all. MAKE THEM LONG! As long as the video stays on topic, I want to learn damn it!!!
Crystal clear, very well explained. You are the best!
Got my final exam in 3 days. Thanks a lot!
+Nabil M good luck! Study hard!
love the conglomerate icon!
Thank you so much! This explanation was super clear I’ve been having a really hard time with this topic and now I understand.
you are my hero, the index subtlety had bent my mind. thx u 4 unbending
U r my savior, Patrick. If I ever see you one day on the street, expect a high-five 4-sure
He actually expects a little appreciation with some dollars, I am pretty sure your high five dont pay bills.
Thank you so much, Patrick! I am studying Complex Analysis and reviewing Series. This is very helpful!
You're my favorite.
+Allison M thanks!
Assalam o Alaikum....patrick....really helpful in exams...stay blessed...from Pakistan
u just save my day patrick..thank you very much
You explain very clearly.
Great video man! Thanks for all of the help!
Very nice, man. Thanks for saving me from struggling
on c) if i leave the index equal to 0 and not compensate for the shifting shouldnt that be ok since you are still getting 0's for first two values in the series when n=1 and n=0 ?
well i guess we'll never know
I agree, for whatever that's worth (6 years later...).
you saved my life thank you so much
Me has salvado amigo! muy buen vídeo, aunque no sepa hablar ingles te entendí perfectamente gracias a tu paso a paso bien explicito
That video was outstanding.
How would the expression change if the function is f(x) = (6-x)^-4. or any other power that is lower than -3?
*You bring nothing but honour to your family*
Thank you. This video helps me a lot.
When you apologized for the length of your video, I was just hoping that your video would go on because it is so good.
Thanks so much, definitely subscribing!
BLESS YOU PATRICK
Thank you for taking your time to make this video.(:) )
Hey, this almost exactly matches the book problem I just did. The only difference is that in my problem, a) was 1/(1+x)^2. Otherwise, exactly the same. So this is perfect. And yes, I also have the book Single Variable Calculus: Early Transcedentals.
This is a great video, now if only you could use functions that didn't have a (1+x) in the denominator and instead had something like (10+x), that would be very helpful!
+Martin Velarde all you have to do is factor out a 10 then you would be left with 10( 1+x/10) and continue as in this video.
You are the best!!! Thank you so much
2:25 why cant i just divide by (1+x)^2 to get series sum for 1/(1+x)^3
Literally amazing.
a perfect math video 🙌 .than you Patrick
I was wondering if you could help answer a question that I'm having a really hard time with. It asks to find the derivative of the summation from n=0 to infinity of (-1)^nx^(2n+1) / 3^(2n)(n!)^2. I have no idea how to solve this, your help would be greatly appreciated :)
Thank you, this helped me a lot!
your handwriting is good
Is it necessary to change the index from the second series in order to compute the third one?
Do you have to change the n from n=0 to n=2 or can you leave it as n=0?
I hope I will have a Calc teacher as good as you in college this fall. otherwise, my calc future will be bleak as in HS...
Thanks, you are the best!
Patrick. Do you cull alot of your examples from the textbook "Single Variable Calculus: Early Transcedentals"? Alot of your examples match up =)
Patrick the book gives a solution to 1/(1+x)^2 to be the series from n=0 to infinity of (-1)^n*(n+1)*x^n, this differs from what you have, if you could please explain the difference it would be of great help. Thanks!
If you dont change the index in part b (where it still remains from n=0 to infinity ) , would it affect your final answer ?
I'm confused as to how you got the part after the sigma. I'm trying to follow this and solve a different equation with the steps you use but I can't seem to figure out how to get the (-1)^n(n)(n-1)x^(n-2) or (-1)^n(n)x^(n-1) parts???
If my calc teacher didn't point you out, I'd be failing
Question. Would it be alright if I careless about the change of n=0 to n=2, and then comd back to n=0 ?
Thx for the content.
This is great!
Patrick, as a convention, can't we just increase a (the lower bound) by 1 every time we differentiate? That may be a more efficient approach, no?
for b, if you initialize it from 0 then it will be same with c?
Just a question: how would you use these derivative versions to find the radius of convergence? Or would the radius be unchanged?
Kitkat915e I may be a little late, but the radius of convergence would in fact remain unchanged. However, the interval of convergence could change.
Oh, thank you :)
3:40 no you can't leave it 0 because the stupid WebAssign homework grader will keep saying you're wrong. So you have to make n = 1, once you get you sum formula, change n to 0 and add 1 to all n's in your formula. I don't know, but that;s what WebAssign wants...
WebAssign and MasteringPhysics.
WHY WASNT N=1
N=1 WHEN YOU DID AN EXAMPLE IN THE PAST, WHICH IS AFTER YOU TAKE THE DERIVATIVE OF THE SERIES
o
My calc teacher sucks, thanks patrick
How did you get the sum from n=1 to infinity of ((-1)^n)(n)(x^(n-1) my textbook got (-1)^n(n+1)x^n
hey patrick, this video is not included in your calc 2 playlist and it seems like it should be
That's great, but how do you do it when it isn't (x+1)
What you have shown is easy, but I have no idea to do it with, say, 1/(1+5x)^2 or x^2/(7+x)^3
THE GOATTTTT
8:13 is there an add on? lol
legend
hi patricjmt! can you please do 3 more examples for power series representation using differentiation and integration? THANK-yOU!!!!
Radius of convergence?
Thank you thank you thank you!!!!
Thank you!
I can smell his sharpie from here!
shoutout pat
I believe you try to get it into the form 1/(1-x)
Thank you !
isn't that the taylor series? the taylor series is only for a_n(x-c)^n
I know this video is super old but does anyone know what to do if you have 1/(1+x^4)^(3/2)?
Really should have watched your videos earlier.. Now it is only little time before my exam...
2 days until mine tragic
Why the calculus teachers don't watch these videos ? i mean they can learn the teaching !
probably the hardest thing in calc 2 is this, im completely lost
Why do you keep changing how you write your twos!! It bothers me so! Great video by the way, thanks.
idk why but i keep losing him in this video
2018?
then u haf to differentiate or integrate it...look at his other video
you forgot to derive.....
OMFFFGGGG so annoying! Please normalize the audio of your video before uploading so I don't have to turn the volume of my computer all the way up in order to hear you
no
:O
I hate power series
Thank you!