Consider the function f[x_]=x^5
. The first-order derivative of this function is given by D[f[x],{x,1}]
. More generally, we can compute the $n^{\text{th}}$-order derivative (where $n$ is finite) by writing D[f[x],{x,n}]
.
My question is, how do we compute the $2n^{\text{th}}$-order derivative? That is, how do we find the zeroth-order derivative (n=0), second-order derivative (n=1), fourth-order derivative (n=2) etc? The command D[f[x],{x,2n}]
does not seem to be recognized.
D[f[x], {x, m}] /. m -> (2*n)
$\endgroup$/.
do exactly? $\endgroup$m
by2 n
in the result. Mathematica does not like the order of derivative to be something other than length 1. i.e atomic. May be by design. I do not know. $\endgroup$