What is the derivative of \(f(X) = X^TAX\) with respect to \(X\)?
What is the derivative of \(f(X) = \text{trace}(AX)\) with respect to \(X\)?
What is the derivative of \(f(X) = \text{trace}(X^TY)\) with respect to \(X\)?
What is the derivative of \(f(X) = \frac{1}{2} \text{trace}(XX^T)\) with respect to \(X\)?
What is the derivative of \(f(X) = \|X\|^2\) with respect to \(X\)?
What is the derivative of \(f(X) = \log |X|\) with respect to \(X\)?
What is the derivative of \(f(X) = X^TBX\) with respect to \(X\)?
What is the derivative of \(f(X) = \text{det}(X)\) with respect to \(X\)?
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