The marginal product of a variable input is the rate of change of average product with respect to the input, all other things kept fixed.

Name: The marginal product of a variable input is the rate of change of average product with respect to the input, all other things kept fixed.
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The marginal product of a variable input is the additional output produced by adding one more unit of that input, while holding all other inputs constant. It is not related to the rate of change of average product.

The Marginal Product of a Variable Input Is the Rate