Exercises 19 are intended to challenge your understanding of the Product Rule. Solve the problems without using the Tech Card.
Apple Farming Suppose that a farmer has an apple orchard with 30 trees per acre. The orchard yields 12 bushels per tree. The farmer estimates that for each additional tree planted per acre, the average yield per tree is reduced by 0.1 bushel.
If y = f(x) is the total number of bushels of apples produced per acre when an additional x trees per acre are planted, calculate and interpret the meaning of f′ (40), f′ (45), and f′ (50).
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