Finding a Maclaurin Series Expansion - Another Example 1

[ozankaracabey]

Thank you, I was really helpful (especially last nights before math exams ) :D

[chemist]

Just noticed tat you hit a million subscribers, you deserve it mate.

[benharman]

I wish there were more complex examples, good tutorial but the example is kind of easy I'm stuck on one for f(x)= 6x/(9+x) and just need to see how to organize it as it gets more and more crazy with more derivatives

[valeriaferrel]

thank you this is actually the first time I understand Taylor and Maclaurin series :)

[teja.]

Good teacher is that who teaches only easy examples😄

[abozenon]

thank you patrick you are a life savior

[aminapage]

This video helped a lot! I was freaking out because I forgot what a maclaurin series was.

[abrarawmesele]

thank  a lot!! i have been helpful from ethiopia.

[DangerDonkey]

Who would of known Carl Sagan would be so helpful for my Calculus exam cramming.

[ghgodsexposed]

couldn't you just have done a power series expansion for this and get the same answer?

[mikeanthony]

How would you find the fourth derivative of f(0) if you replaced that x with x^3?

[natashajackie]

thanks very much! .... this helped alot even more

[alexanderm]

what does it mean to be centred at zero? what if it isn't centred at anything? or if they don't state that

[BirgitSchouten]

There's a mistake in your description, you're finding the series expansion for 1/(1+x) nog 1/(1-x) like it says in your description.

[RasnaMantha]

Hello Patrick,
First of all thanks for posting those vedios - they are very helpful.
I was following your steps and solving problems from my textbook and I got stuck at a point in a probem.
The question was the following: f(z) = z / (1-z)^3
Therefore I figured the center is at 1 ( right? :-/ )
so after geting the 1st, 2nd, 3rd, 4th --- etc derivatives, when I substituite 1 in place of "z" I get all my denominators as zero.
and I am not able to proceed. could you please help !

[safar]

Hi Patrick
Can u help me with this question!???? I can't find the the first three term with the
f(x) = (1 + 2x)^(−5) Thank you so much

[hillbillyphysicist]

I understand the method. However, why is it that wolfram alpha says the Maclaurin expansion of (1-x)^-1 is = 1 + x + x^2 + x^3 + x^4 where we have it as (1-x)^-1 = 1 - x + x^2 - x^3 ?

[kawasakiify]

Hi im struggling with the following

1.To find a power series for.              e3x. Cos (2x)
as far as the term x2

2a. To find the first 4 terms of the expansion of Sinh(2x), then

b.
use this expansion to evaluate Sinh(2x) when x = 0.5, to 4 decimal places

Thanks for any advice

[alexanderm]

how do you know how many derivatives to do? why stop a 4? or why not at 2

[saumyayadav]

What is the difference between maclaurin and taylor series ??