Artificial intelligent assistant

Marginal products of labor and capital (cobb-douglas) Given the cobb-douglas function $Y=1.01*K^{0.25}L^{0.75}$ $Y=$output; $K=$capital; $L=$labor How can I determine the marginal products of labor and capital? Not used in this equation. Thanks for the help.

The marginal product is defined as the partial derivative with respect to the respective input.

In your case $\frac{\partial Y}{\partial L}=1.01 * 0.75 * ( \frac{K}{L})^{0.25}$ for labor and $\frac{\partial Y}{\partial K}=1.01 * 0.25 * ( \frac{K}{L})^{0.75}$ for capital.

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