Use the Product Rule to Find the Derivative of the Function

question 48

Multiple Choice

Use the product Rule to find the derivative of the function $f ( x ) = x \left( x ^ { 2 } + 3 \right)$ .

• A) \(f ^ { \prime } ( x ) = 3 x ^ { 2 } + 3\)
• B) \(f ^ { \prime } ( x ) = 3 x ^ { 2 } + 1\)
• C) \(f ^ { \prime } ( x ) = x ^ { 2 } + 3\)
• D) \(f ^ { \prime } ( x ) = 3 x ^ { 2 } - 3\)
• E) \(f ^ { \prime } ( x ) = 3 x ^ { 2 } - 1\)

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Definitions:

M1

A segment of the money supply encompassing all tangible forms of money such as bills and coins, alongside demand deposits and additional liquid assets maintained by the central bank.

Demand for Money Schedule

A representation of the relationship between the quantity of money people wish to hold and the interest rate, other factors being constant.

Quantity of Money

The total amount of money in circulation or in existence within a particular economy.

Interest Rate

Interest Rate is the proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage of the loan outstanding.