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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

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.

(a)

To determine

The meaning of f(8) and its units.

Explanation

Given:

Consider the function f(p) is a quantity (in pounds) of coffee is sold by a coffee company at a price of p dollars per pounds. That is Q=f(p).

Note that, the derivative f(x) is the instantaneous rate of change of the function f(x) with respect to x

The derivative f(p) is the rate of change of quantity (in pounds) of coffee is sold with respect to price of p dollars per pounds

(b)

To determine

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

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