\left[
\begin{array}{ccc}
\displaystyle\frac{\partial\varphi_1}{\partial x_1} & \cdots & \displaystyle \frac{\partial\varphi_1}{\partial x_m}\\
\vdots & & \vdots\\
\displaystyle\frac{\partial\varphi_k}{\partial x_1} & \cdots & \displaystyle \frac{\partial\varphi_k}{\partial x_m}
\end{array}
\right]