Find the Relative Extreme Points For $f ( x ) = x ^ { 3 } + 6 x ^ { 2 } - 15 x$

question 8

Multiple Choice

Find the relative extreme points for $f ( x ) = x ^ { 3 } + 6 x ^ { 2 } - 15 x$

• A) (5, f(5)) is a relative extreme minimum point, (-1, f(-1)) a relative extreme maximum
• B) (0, f(0)) is a relative extreme minimum point
• C) (5, f(5)) is a relative extreme maximum point, (-1, f(-1)) a relative extreme minimum
• D) (-5, f(-5)) is a relative extreme maximum point, (1, f(1)) a relative extreme minimum
• E) (-5, f(-5)) is a relative extreme minimum point, (1, f(1)) a relative extreme maximum

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Definitions:

Hierarchy of Authority

An organizational structure in which authority and responsibility are clearly defined and arranged in a graded series from top level to lower levels.

Interacting Subsystems

Components within a larger system that affect each other's functioning through their interconnection and flow of information.

Production Function

An economic model that describes the relationship between input resources and the output of goods or services that result from those inputs.

Managerial Subsystem

A component of an organization that focuses on administrative and decision-making functions, essential for directing the organization towards its goals.