Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$

question 73

Multiple Choice

Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . You need not expand your answer. $y = \frac { ( x + 2 ) ( x + 1 ) } { 2 x - 4 }$

• A) \(\frac { 2 x + 3 } { ( 2 x + 4 ) ^ { 2 } }\)
• B) \(\frac { ( 2 x + 2 ) ( 2 x - 4 ) + 2 \left( x ^ { 2 } + 3 x + 2 \right) } { ( 2 x - 4 ) ^ { 2 } }\)
• C) \(\frac { 2 x + 3 } { 2 }\)
• D) \(\frac { ( 2 x + 3 ) ( 2 x - 4 ) - 2 \left( x ^ { 2 } + 3 x + 2 \right) } { ( 2 x - 4 ) ^ { 2 } }\)
• E) \(\frac { ( 2 x + 2 ) ( 2 x - 4 ) + 2 \left( x ^ { 2 } + 3 x + 2 \right) } { ( 2 x - 4 ) }\)

---

Definitions:

Average Total Assets

A measure calculated by taking the sum of total assets at the beginning and end of a period and dividing by two, used to evaluate a company's asset utilization efficiency.

Average Total Liabilities

The average amount of money that a company owes to others over a specific time period, used to assess the company's financial health.

Depreciation Expense

An accounting method that allocates the cost of a tangible or physical asset over its useful life.

Debt-to-Equity

A metric used to evaluate a company's financial leverage, calculated by dividing its total liabilities by its shareholders' equity.