Determine Whether the Statement Is True or False $y = f ( x ) g ( x ) \text {, then } y ^ { \prime } = f ^ { \prime } ( x ) g ^ { \prime } ( x )$

question 65

Multiple Choice

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If $y = f ( x ) g ( x ) \text {, then } y ^ { \prime } = f ^ { \prime } ( x ) g ^ { \prime } ( x )$

• A)True
• B)False. The product rule is \([ f ( x ) g ( x ) ]^\prime = f ( x ) g ^ { \prime } ( x ) + g ( x ) f ^ { \prime } ( x )\)

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Definitions:

Economy's Income

The total wealth and resources generated and distributed within an economy.

Economy's Expenditure

The total spending in an economy, including consumption, investment, government purchases, and net exports.

Total Income

The sum of all earnings received by an individual or entity, including wages, salaries, benefits, and other forms of compensation.

Total Expenditure

The total amount spent on goods and services over a specific period.