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

question 78

Multiple Choice

Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . You need not expand your answer. $y = \left( \frac { x } { 1.2 } + \frac { 1.2 } { x } \right) \left( x ^ { 2 } + 7 \right)$

• A) \(2 x \left( \frac { 1 } { 1.2 } - \frac { 1.2 } { x ^ { 2 } } \right)\)
• B) \(\left( \frac { 1 } { 1.2 } - \frac { 1.2 } { x ^ { 2 } } \right) \left( x ^ { 2 } + 7 \right) - 2 x \left( \frac { x } { 1.2 } + \frac { 1.2 } { x } \right)\)
• C) \(2 x \left( \frac { 1 } { 1.2 } - \frac { 1.2 } { x ^ { 2 } } \right) + \left( \frac { x } { 1.2 } + \frac { 1.2 } { x } \right) \left( x ^ { 2 } + 7 \right)\)
• D) \(2 x\)
• E) \(\left( \frac { 1 } { 1.2 } - \frac { 1.2 } { x ^ { 2 } } \right) \left( x ^ { 2 } + 7 \right) + 2 x \left( \frac { x } { 1.2 } + \frac { 1.2 } { x } \right)\)

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Definitions:

Efficiency Loss

The loss of economic efficiency that can occur when the equilibrium for a good or a service is not achieved or is unattainable.

Tax

Compulsory financial obligation or different form of levy placed on a taxpayer by a government entity to finance public spending.

Excise Tax

A tax imposed on specific goods, services, or activities within a country, often levied on items like tobacco, alcohol, and gasoline to discourage their use or generate revenue.

Deadweight Losses

Economic inefficiencies that occur when the equilibrium in a market is not achieved or is distorted, typically resulting in lost welfare or inefficiency.