Compute the 10th derivative of

http://webwork.umemat.maine.edu/webw...8af4ef5f81.png

at x=0

f^10(0)=?

i think im supposed to use the Maclaurin series

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- August 20th 2009, 09:21 AMdat161110th derivative
Compute the 10th derivative of

http://webwork.umemat.maine.edu/webw...8af4ef5f81.png

at x=0

f^10(0)=?

i think im supposed to use the Maclaurin series - August 20th 2009, 10:39 AMCaptainBlack
- August 20th 2009, 11:02 AMdat1611
i dont know how im supposed to get a number answer out of it

- August 20th 2009, 02:24 PMCaptainBlack
You get the McLaurin series up to the term in then you can differentiate term by term ten times (which is easy as the terms with exponent of less than will be eliminated by the time you have taken the 10-th derivative) and then set to evaluate (the terms with powers greater than when is set to zero will be zero so there was no need to look at them).

CB - August 20th 2009, 05:37 PMdat1611
Im not sure how to do the Maclaurin series

- August 20th 2009, 09:05 PMCaptainBlack
- August 21st 2009, 08:45 AMdat1611
how do i get a number if i plug in x^2/4

- August 21st 2009, 08:53 AMCaptainBlack
- August 21st 2009, 09:04 AMdat1611
so i differntiated x^2/4- x^6/12 + x^10/20 ten times and all i got is 181440 which is not right

- August 21st 2009, 10:42 AMRandom Variable

The 10th derivatives of the first two terms are zero for any value of x, and the 10th derivative of every term beyond evaluates to zero at x=0.

so

which of course at is