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## Main Question or Discussion Point

Hello

I scratch my head on trying to express [tex]\partial_{x}[\det(\textbf{1}-\textbf{M})][/tex] , where [tex]\textbf{M}[/tex] is a square matrix whose elements depend on x, as an expression involving [tex]\textbf{M}[/tex] and/or [tex]\partial_{x}\textbf{M}[/tex].

For instance, I have painfully noticed that it is

Any help would be much apprciated TIA

I scratch my head on trying to express [tex]\partial_{x}[\det(\textbf{1}-\textbf{M})][/tex] , where [tex]\textbf{M}[/tex] is a square matrix whose elements depend on x, as an expression involving [tex]\textbf{M}[/tex] and/or [tex]\partial_{x}\textbf{M}[/tex].

For instance, I have painfully noticed that it is

**not**equal to [tex]\det(\textbf{1}-\partial_{x}\textbf{M})[/tex]Any help would be much apprciated TIA