Definition:Differentiable Mapping/Vector-Valued Function/Point

Definition
Let $\mathbb X$ be an open subset of $\R^n$.

Let $f = \left({f_1, f_2, \ldots, f_m}\right)^\intercal: \mathbb X \to \R^m$ be a vector valued function.

Also see

 * Equivalence of Definitions of Differentiable Vector-Valued Function at Point