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

question 12

Multiple Choice

Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . You need not expand your answer. ? $y = \left( 9 x ^ { 2 } + x \right) \left( x - x ^ { 2 } \right)$

• A) \(( 18 x + 1 ) ( 1 - x ) + \left( x - x ^ { 2 } \right) \left( 9 x ^ { 2 } + x \right)\)
• B) \(( 18 x + 1 ) \left( x - x ^ { 2 } \right) + ( 1 - 2 x ) \left( 9 x ^ { 2 } - x \right)\)
• C) \(( 18 x + 1 ) \left( x - x ^ { 2 } \right) + ( 1 - 2 x ) \left( 9 x ^ { 2 } + x \right)\)
• D) \(- 36 x ^ { 2 } + 20 x + 1\)
• E) \(( 18 x + 1 ) ( 1 - x ) + \left( x - 2 x ^ { 2 } \right) \left( 9 x ^ { 2 } + x \right)\)

Assess the relationship between central bank credibility, inflation, and economic outcomes.

Identify the short-term and long-term impacts of monetary policy decisions on inflation and unemployment.

Understand the perceived benefits of moderate inflation in economic systems, particularly in labor markets.

Recognize the effects of fiscal and monetary policies on savings, consumption, and investment behaviors.

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