If \( f:R_{++}\to R\) is homogeneous of degree \(\alpha\), then
\[ \sum_{i=1}^n \frac{\partial f(x)}{\partial x_i}x_i=\alpha f(x) \]
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If \( f:R_{++}\to R\) is homogeneous of degree \(\alpha\), then
\[ \sum_{i=1}^n \frac{\partial f(x)}{\partial x_i}x_i=\alpha f(x) \]