Find the Value or Values Of $c$ That Satisfy the Equation $\frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c )$

question 59

Multiple Choice

Find the value or values of $c$ that satisfy the equation $\frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c )$ in the conclusion of the Mean Value Theorem for the function and interval.
- $f ( x ) = \ln ( x - 1 ) , [ 2,6 ] \quad$ Round to the nearest thousandth.

• A) \(4.485\)
• B) \(3.485\)
• C) \(3.885\)
• D) \(\pm 3.485\)

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Definitions:

Defense Mechanism

A collective term for a number of reactions that try to ward off or lessen anxiety by various unconscious means.

Id

In Freudian psychoanalysis, the part of the mind that is the source of instinctual impulses and demands for immediate satisfaction of primitive needs.

Superego

A component of Sigmund Freud's psychoanalytic theory, representing the ethical and moral considerations in the personality.

Internalized

Internalized refers to processes or attributes that are deeply integrated into an individual's self-concept or belief system, often influencing behavior and attitudes.