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

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) $2 \sqrt { 3 }$