Provide an Appropriate Response $f$ Has a Positive Derivative for All Values Of

question 221

Multiple Choice

Provide an appropriate response.
-Suppose that $f$ has a positive derivative for all values of $x$ and that $f ( 2 ) = 0$ . Which of the following statements must be true of the function $g ( x ) = \int _ { 0 } ^ { x } f ( t ) d t$ ?

• A) The function g has a local maximum at x = 2.
• B) The graph of g has an inflection point at x = 2.
• C) The function g has a local minimum at x = 2.
• D) The graph of g crosses the x-axis at x = 2.

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Definitions:

Libidinal Energy

A term from psychoanalytic theory referring to the psychic energy derived from instinctual biological drives, especially sexual desire.

Erogenous Zones

Areas of the human body that are particularly sensitive to stimulation and can lead to sexual arousal when touched or stimulated.

Psychosexual Development

Sigmund Freud's theory outlining how personality develops through a series of childhood stages in which the pleasure-seeking energies of the id focus on distinct erogenous zones.

Libidinal Energy

A term primarily used in psychoanalysis to denote the instinctual sexual drive or desire that motivates human behavior.