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

question 79

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.
- $f ( x ) = x + \frac { 12 } { x } , [ 3,4 ]$

• A) 3,4
• B) \(- 2 \sqrt { 3 } , 2 \sqrt { 3 }\)
• C) \(0,2 \sqrt { 3 }\)
• D) \(2 \sqrt { 3 }\)

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A prominent American public opinion analyst and social scientist known for his work in public opinion research and public policy.