Find the Maximum or Minimum Point(s) of the Function $$F ( x ) = \left( 1 - x ^ { 2 } \right) ^ { 2 } + 6 x ^ { 2 }$$

question 142

Short Answer

Find the maximum or minimum point(s) of the function.
$$F ( x ) = \left( 1 - x ^ { 2 } \right) ^ { 2 } + 6 x ^ { 2 }$$

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Definitions:

Dreams

Mental experiences during sleep involving imagery, emotions, and thoughts, often considered significant in understanding subconscious desires and processing emotions.

Defense Mechanisms

Psychological strategies used unconsciously to protect oneself from anxiety or guilt by denying or distorting reality.

Transference

A psychoanalytic concept where emotions initially felt in childhood relationships are redirected or applied to others in adulthood.

Unconscious Rivalry

A competition between individuals that is not recognized or acknowledged by those involved, often driven by subconscious motives.