To be more precise, if the second derivatives of $f$ are all continuous in a neighborhood $D$, then the Hessian of $f$ is a symmetric matrix throughout $D$. -- From Wiki
keenan
Yes. When we talk about derivatives of functions, we will often implicitly assume that all functions are differentiable up to the order we need them to be. :-)
To be more precise, if the second derivatives of $f$ are all continuous in a neighborhood $D$, then the Hessian of $f$ is a symmetric matrix throughout $D$. -- From Wiki
Yes. When we talk about derivatives of functions, we will often implicitly assume that all functions are differentiable up to the order we need them to be. :-)