Find Y
- $y = \sin \left( 4 x ^ { 2 } e ^ { x } \right)$

question 480

Multiple Choice

Find y .
- $y = \sin \left( 4 x ^ { 2 } e ^ { x } \right)$

• A) \(\left( x ^ { 2 } + 4 x + 2 \right) e ^ { x } \cos \left( 4 x ^ { 2 } e ^ { x } \right) + 4 x e ^ { x } \left( x ^ { 3 } + 4 x ^ { 2 } + 4 x \right) \cos \left( 4 x ^ { 2 } e ^ { x } \right)\)
• B) \(4 \left( x ^ { 2 } + 4 x + 2 \right) e ^ { x } \cos \left( 4 x ^ { 2 } e ^ { x } \right) - 16 x e ^ { 2 x } \left( x ^ { 3 } + 4 x ^ { 2 } + 4 x \right) \sin \left( 4 x ^ { 2 } e ^ { x } \right)\)
• C) \(8 x e ^ { x } \cos \left( 4 x ^ { 2 } e ^ { x } \right) + 4 x ^ { 2 } e ^ { x } \cos \left( 4 x ^ { 2 } e ^ { x } \right)\)
• D) \(- 8 e ^ { x } \sin \left( 4 x ^ { 2 } e ^ { x } \right) - 8 x e ^ { x } \sin \left( 4 x ^ { 2 } e ^ { X } \right)\)

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Definitions:

Maximize Loss

The strategic or accidental pursuit of actions that result in the largest possible financial loss, often used in theoretical analyses.

Deadweight Loss

The occurrence of reduced economic efficiency when a good or service's free market equilibrium is unmet.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or service is not achieved or is not achievable, often due to market inefficiencies like taxes or subsidies.

Laffer Curve

A theoretical representation of the relationship between tax rates and the amount of tax revenue collected by governments.