
Concept explainers
(a)
To find:Themeaning of derivative
(a)

Answer to Problem 33RE
The meaning of derivative
Explanation of Solution
Given information:
The given statement is “The total cost of repairing a student loan at an intersect rate of
Calculation:
The derivative
The units would be the units of cost divide by the units of interest rate, which would be dollars (percent per year)
Therefore, the meaning of derivative
(b)
To find:The meaning of statement “
(b)

Answer to Problem 33RE
The meaning of statement “
Explanation of Solution
Given information:
The given statement is “
Calculation:
The statement is
Therefore, the meaning of statement “
(c)
To find:Whether
(c)

Answer to Problem 33RE
The derivative always positive.
Explanation of Solution
Given information:
The given statement is “
Calculation:
The negative derivative means that, a function is decreasing.
Since higher interest rate will always means a higher total cost of a loan, this function is always increasing.
Therefore, the derivative always positive.
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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