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Derivative with respect to matrix

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Derivative with respect to matrix

1- How to determine a derivative of a function with respect to matrix?
2- For example let a function f such that
f(C)= x'Cy + x'C'y + x'C'ACy
where x and y are vectors and C and A are matrix and (') is the opertor transpose.
what is the derivative of f with respect to C?

Thank you.

If I understand there isn't a derivative with respect to matrix like my example.

There is.échet_derivative

At point C in direction B the derivative is

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