1. Marginal profit: The profit P for a firm depends on the number of n of widgets made, and the rate of change dP dn is negative. What is the effect on profit of increasing the number of widgets made?
2. Water depth: A jug is being filled with water, and the depth H of water in the jug is a function of time t. At time t = 5 the process stops, and no more water is added. What is the rate of change dH dt after time t = 5?
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