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

question 75

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.
- $$f ( x ) = x + \frac { 18 } { x } , [ 2,9 ]$$

• A) 2,9
• B) \(3 \sqrt { 2 }\)
• C) \(0,3 \sqrt { 2 }\)
• D) \(- 3 \sqrt { 2 } , 3 \sqrt { 2 }\)

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Definitions:

Long-term Changes

Alterations or developments that are enduring and persist over an extended period of time.

Longitudinal Method

A research design in which data from the same subjects are collected over a period of time to observe changes.

Fixed Group

A term not generally standard in research; possibly refers to a specific group that remains unchanged throughout the duration of a study. NO.

Long Period

A duration of time that extends over a considerable number of years, months, or longer time frames.