Notation for a special type of function / differential operator

Question

I'm working with functions $f:\mathbb{R}^m \to \mathbb{R}^m$ that have the following representation \begin{align*} f(x) = [f_1(x_1), \dots, f_m(x_m)]^T, \end{align*} with $f_i :\mathbb{R} \to \mathbb{R} \in C^\infty$ for all $i = 1, \dots, m$. At the moment I'm using $f'$ to denote \begin{align*} f'(x) = [f_1'(x_1), \dots, f_m'(x_m)]^T, \end{align*} where $f_i'$ is simply the first derivative of $f_i$. However, I feel that this notation is a bit confusing. Is there some commonly used alternative, or should I stick with $f'$?