Find the Minimum Value of the Function $f ( x ) = x \ln x$

question 6

Multiple Choice

Find the minimum value of the function $f ( x ) = x \ln x$ .

• A) \(- e\)
• B) \(- 1\)
• C) \(- \frac { 1 } { e }\)
• D)0
• E) \(e\)
• F) \(e ^ { \frac { 1 } { e } }\)
• G) \(e ^ { e }\)
• H) \(e ^ { - e}\)

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Definitions:

Ape-Language Controversy

Refers to the debate over whether apes can use language in a meaningful and linguistic way or if their "language" use is merely a response to conditioning.

Key Properties

Fundamental or essential attributes that define or characterize an object, concept, or system.

Language

A system of communication that uses symbols, such as words, sounds, and gestures, organized according to certain rules to convey information and express ideas.

Functional Fixedness

A thought pattern that restricts a person to the traditional utilization of an object, blocking pathways to creativity and the resolution of problems.