Matrix Derivative: Solving for \partial_{x}[\det(\textbf{1}-\textbf{M})]

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guerom00
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Hello :smile:

I scratch my head on trying to express \partial_{x}[\det(\textbf{1}-\textbf{M})] , where \textbf{M} is a square matrix whose elements depend on x, as an expression involving \textbf{M} and/or \partial_{x}\textbf{M}.
For instance, I have painfully noticed that it is not equal to \det(\textbf{1}-\partial_{x}\textbf{M}) :biggrin:

Any help would be much apprciated :smile: TIA
 
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Nevermind…
This is the theorem I'm looking for exactly :)
 
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