I found the first four derivatives and have the first few terms of the series. I'm getting stuck with putting it into summation notation.
That is the closest I have come to how to write it.. it takes care of everything except for the numerator coefficients, I think. Can anyone help me out on how to add that in to the summation? The coefficients are 1, 1, 3, 15, 105, ... (I factored out the first term so I could write it as an alternating series).