Find the Difference Quotient and Simplify Your Answer $f ( x ) = 5 x - x ^ { 2 } , \quad \frac { f ( 9 + h ) - f ( 9 ) } { h } , \quad h \neq 0$

question 91

Multiple Choice

Find the difference quotient and simplify your answer.
$f ( x ) = 5 x - x ^ { 2 } , \quad \frac { f ( 9 + h ) - f ( 9 ) } { h } , \quad h \neq 0$

• A) \(- h - 11 , h \neq 0\)
• B) \(- h - 10 , h \neq 0\)
• C) \(- h - 9 , \quad h \neq 0\)
• D) \(- h - 13 , \quad h \neq 0\)
• E) \(- h - 12 , \quad h \neq 0\)

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Definitions:

Behaviorism

A theory of learning based on the idea that all behaviors are acquired through conditioning, emphasizing observable behaviors over internal states.

Psychoanalysis

A method of therapy and theory of personality developed by Sigmund Freud that emphasizes unconscious motives and conflicts as the sources of human behavior.

Physiological Psychology

A subfield of psychology that focuses on understanding the biological bases of behavior and mental processes.

Self-actualized Person

An individual who has realized and fulfilled their own potential and capabilities, as described in the hierarchy of needs by Abraham Maslow.