If $f ( x ) = \sqrt [ 3 ] { x ^ { 2 } - 1 } , \text { find } \mathrm { f } ^ { \prime \prime } ( 3 )$

question 11

Multiple Choice

If $f ( x ) = \sqrt [ 3 ] { x ^ { 2 } - 1 } , \text { find } \mathrm { f } ^ { \prime \prime } ( 3 )$

• A) \(\frac { 1 } { 4 }\)
• B) \(\frac { 1 } { 12 }\)
• C) \(- \frac { 1 } { 12 }\)
• D) \(\frac { 3 } { 4 }\)
• E) \(\frac { 1 } { 3 }\)
• F) \(\frac { 4 } { 3 }\)
• G) \(- \frac { 4 } { 3 }\)
• H)None of these

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Definitions:

Price Elasticity

An economic measure indicating how the quantity demanded of a product changes in response to a change in the price of that product.

Equilibrium Quantity

The equilibrium quantity is the quantity of goods or services that is supplied and demanded at the equilibrium price, where supply equals demand.

Deadweight Loss

A reduction in economic effectiveness occurring when a good or service doesn't attain market equilibrium in an unrestricted market scenario.

Elastic Supply

A situation where the quantity supplied changes significantly in response to changes in price.