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:

Office Space

Premises rented or leased by businesses to conduct their operations, often equipped with necessary facilities and services.

Minor Requirement

A smaller or less significant obligation or condition that must be fulfilled, often in addition to major requirements.

De Facto Corporation

A corporation defectively incorporated in good faith that exists in fact though not in law.

Incorporation

The process of legally declaring a corporate entity as separate from its owners, providing it with its own rights, privileges, and liabilities distinct from those of its members.