   Chapter 2.7, Problem 56E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### 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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