taylor series/n-th derivative ahh!

[voidflux]

Hello everyone!
i'm having probems figuring these 2 problems out: The first one is a taylor series and hte 2nd one is wanting me to find the nth-derivative of f when, f(x) = 4*ln(4*x+2);

It says, first find the A and so that

21+9x             A                B
--------   = -----------   +  -----------
7 + x          7+x              7+x

so i found the A = 2, and B = 9,
So i have

21+9x
--------
7+x

and it says, then use this to determine the Taylor Series for
21+9x
-------
7+x


the options i have are:
E stands for sumnation

A. (3-6)*[E k=1 to infinity (-1)^k-1 (x^k)/(7^k)]
B. (3+6)*[E k=1 to infinity (-1)^k-1 (x^k)(7^k)]
C. 6*[E k = 1 to infinity (-1)^k-1 (x^k)/(7^k)]
D. (3+6)*[E k=1 to infinity (-1)^k-1 (x^k)/(7^k)]
E. (3+6)*[E k = 1 to infinity (x^k)/(7^k)]

and the 2nd one:
find the nth-derivative of f when f(x) = 4*ln(4*x +2);
What am i suppose to do here exactly? I have maple and I tried to do a taylor series problem and it looks nothing like the choices i have.

Thanks!

I was taught basic taylor series, this is why i have no idea on what they even want, I was never shown how to figure out the series itself, just evaluating it