Suppose U and V Are Differentiable Functions of X $$u ( 1 ) = 4 , u ^ { \prime } ( 1 ) = - 7 , v ( 1 ) = 7 , v ^ { \prime } ( 1 ) = - 3 \text {. }$$

question 52

Multiple Choice

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.
- $$u ( 1 ) = 4 , u ^ { \prime } ( 1 ) = - 7 , v ( 1 ) = 7 , v ^ { \prime } ( 1 ) = - 3 \text {. }$$
$\frac { d } { d x } \left( \frac { u } { v } \right)$ at $x = 1$

• A) \(- \frac { 37 } { 7 }\)
• B) \(- \frac { 61 } { 49 }\)
• C) \(- \frac { 37 } { 9 }\)
• D) \(- \frac { 37 } { 49 }\)

---

Definitions:

Price Level

The average of current prices across the entire spectrum of goods and services produced in the economy, often used as a measure of inflation.

Expected Price Level

The anticipated average level of prices in the economy for goods and services, as predicted by consumers and businesses.

Actual Price Level

The current market price of goods and services, reflecting the buying power of money at a given time.

Nominal Wage

The amount of money paid to an employee before any deductions and adjustments for inflation.