Given the production function \( \mathbf{y} = \mathbf{A} \mathbf{k}^{1/2} \mathbf{h}^{1/2} \), take the natural logarithm of both sides:
\[ \ln(\mathbf{y}) = \ln(\mathbf{A}) + \frac{1}{2}\ln(\mathbf{k}) + \frac{1}{2}\ln(\mathbf{h}) \]
Differentiate both sides
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