Definition:Jacobian Matrix/Also known as

Jacobian Matrix: Also known as

The Jacobian matrix is often called just the Jacobian of $\mathbf f$ at $\mathbf x$.

However, this can allow it to be confused with the Jacobian determinant, so it is advised to use the full name unless context establishes which is meant.

Some sources present this as $J_f$, but boldface for matrices is usual, and standard on $\mathsf{Pr} \infty \mathsf{fWiki}$.