Find the first derivative of the function f defined by
given by
where
.
To find the first derivative \( f'(a) \) of the function \( f: \mathbb{R}^3 \rightarrow \mathbb{R}^2 \) at the point \( a = (1, -1, 2) \), we'll compute the Jacobian matrix of \( f \) and then evaluate it at \( ______ __________ ________ ___ _______ ___ _________ _________.
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