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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2, Problem 33RE

(a)

To determine

**To find:**Themeaning of derivative

Expert Solution

The meaning of derivative

**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 determine

**To find:**The meaning of statement “

Expert Solution

The meaning of statement “

**Given information:**

The given statement is “

**Calculation:**

The statement is

Therefore, the meaning of statement “

(c)

To determine

**To find:**Whether

Expert Solution

The derivative always positive.

**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.