How Do You Calculate the Derivative of a Matrix with Respect to a Scalar?

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    Derivative Matrix
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I'm trying to do a matrix derivative.
\theta , \text{a scalar, is my parameter for derivative}
\mathbf{y} is an Nx1 vector independent of \theta

\mathbf{R}
is an NxN Hermitian matrix a function of \theta

Is the following correct?
<br /> \frac{\partial \mathbf{y^H R^{-1} y}}{\partial \theta} = \mathbf{y^H} \frac{\partial \mathbf{R^{-1}}}{\partial \theta} \mathbf{y}<br />
 
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Yes it is.
 

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