Is it possible to do summation of a derivative? For example, let's say you want to add a sequence of terms, each succeeding term being the derivative of the previous.
ex: the term is x4, and you want to add 4 derivatives of it in a sequence of terms.( = 4x3+12x2+24x+24 )
What would the notation for this be? If possible...

Another way to
actually do a summation:
Since
$f(x+h)
=\sum_{n=0}^{\infty} \frac{h^n f^{(n)}(x)}{n!}
$,
by setting
$h=1$
we get
$f(x+1)
=\sum_{n=0}^{\infty} \frac{f^{(n)}(x)}{n!}
$.
