Question

find the maclaurin series for the function: (x(5x+1))/(1-x)^3

Answer 1

What happened to the other question...

Answer 2

sorry its the same one i just wanted to put it to the top so more people could see if they could help

Answer 3

Well, the steps are in the other one...

Answer 4

but to be honest i dont know how to go about taking the derivative of f

Answer 5

do i have to use the quotient rule?

Answer 6

Yes, quotient rule.

Answer 7

Because I'm fairly sure the series you said you had, 1/(1-x)^3 is not helpful here.

Answer 8

i mean thats what my prof gave us so i feel like it has to be but i just dont know how

Answer 9

It'd be helpful if you had something like 5/(1-x)^3... but your function is much more complex

Answer 10

and u dont think we can separate them to make them two separate summations?

Answer 11

You could break it up into two, not sure how much it'd help though

Answer 12

alright

Answer 13

You could make it 5x^2/(1-x)^3 + x/(1-x)^3 but that's still a pretty diff. function to the one you gave.

Answer 14

yea idk

Answer 15

Did you learn how to do maclaurin series? They aren't very hard, they just look confusing :) i can show you the steps

Answer 16

i missed the class on them so im lost

Answer 17

Well if you have that pic i put in the last one... all you have to do is find

f(0)
f'(0)
f''(0)
etc...
and plug them into the formula. And you may not need to actually differentiate each function, since you just want f'(0) so you don't need the whole derivative, you could use a calculator to find the derivatives