Find the Slope of the Tangent Line of the Graph $f ( x ) = x - 3 x ^ { 2 }$

question 23

Essay

Find the slope of the tangent line of the graph of $f ( x ) = x - 3 x ^ { 2 }$ at the point $( - 1 , - 4 )$ .

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Definitions:

Marginal Social Cost

The additional cost society bears for the production of one more unit of a good or service.

Common Property

Resources or assets that are jointly owned or shared among individuals or groups, often leading to issues of overuse or mismanagement.

Over-Utilized

A condition where resources, services, or facilities are used to their maximum capacity, often leading to degradation or diminished quality.

Common Property

A type of good that is non-excludable and rivalrous, meaning it is accessible to all but can be depleted through use.