Final answer:
To find the marginal product of labor, take the partial derivative of the production function with respect to labor.
Step-by-step explanation:
The marginal product of labor can be calculated by taking the partial derivative of the production function with respect to labor. In this case, the production function is q = l^(1/2)k^(3/4). Taking the derivative with respect to l gives us (1/2)l^(-1/2)k^(3/4). This represents the marginal product of labor.