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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
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The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f ( p ) .

(a) What is the meaning of the derivative f ( 8 ) ? What are its units?

(b) Is f ( 8 ) positive or negative? Explain.

For part (a):

To determine

To Explain:  The meaning of the derivative f(8) and its unit.

Explanation

The derivative gives the change in quantity sold with respect to a change in the price.In this case, f(8) is the rate of change of the quantity of coffee sold if the price is increased from $8 per pound.

Q = f (p)

f'p=dqdp

Quantity is in pounds and price is in dollar

Part (b):

To determine

To check: Whether  f(8) is positive or negative.

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