$\text { Find an equation of the tangent line to the graph of } y = \ln \left( x ^ { 3 } \right) \text { at the point } ( 1,0 ) \text {. }$

question 24

Multiple Choice

$\text { Find an equation of the tangent line to the graph of } y = \ln \left( x ^ { 3 } \right) \text { at the point } ( 1,0 ) \text {. }$

• A) \(y = 3 ( x - 1 ) + 1\)
• B) \(y = 3 ( x + 1 )\)
• C) \(y = 3 ( x - 1 )\)
• D) \(y = x - 1\)
• E) \(y = x - 3\)

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Definitions:

Ed

A common abbreviation for price elasticity of demand, which measures how much the quantity demanded of a good responds to a change in its price.

Total Revenues

The total amount of money generated by a business from the sale of goods and services before any costs or expenses are deducted.

Unit Elasticity

Unit elasticity refers to a situation where a change in the price of a good or service results in a proportionally equal change in the quantity demanded or supplied, indicating a unitary elasticity of demand or supply.

Maximum Total Revenue

The highest possible earnings that a firm can achieve from the sale of goods or services, typically found by optimizing price and quantity sold.