for some constant $c>0$ such that $\beta_i>0$. Now let $\mathbf{M}=\mathbf{A}(\mathbf{A}+\mathbf{B})^{-1}\mathbf{A}$. Can one express a partial derivative $\partial \operatorname{Tr}[\mathbf{M}]\bigg/{\partial\beta_i}$ in closed form, where $\operatorname{Tr}[\mathbf{M}]$ is the trace operator? linear-algebra matrices multivariable-calculus share | improve this question asked Mar 21 at 0:16 M.B.M. 811 2 10 89% accept rate feedback 1 Answer active