   Chapter 2.7, Problem 55E ### 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

# Let H(t) be the daily cost (in dollars) to heat an office building when the outside temperature is t degrees Fahrenheit.(a) What is the meaning of H'(58)? What are its units?(b) Would you expert H'(58) to be positive or negative? Explain.

(a)

To determine

The meaning of H(8) and its units.

Explanation

The function H(t) be the daily cost (in dollars) to heat an office building when the outside temperature is t

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

The derivative H(t) is rate of change of daily cost (in dollars) to heat an office building with respect to when the outside temperature is t

The derivative H(58) is rate of change of daily cost (in dollars) to heat an office building with respect to when the outside temperature is 58°F

(b)

To determine

The value H(58)

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Study Guide for Stewart's Multivariable Calculus, 8th 