Find the Second Derivative of the Function $f ( x ) = 3 x ^ { \frac { 4 } { 7 } }$

Multiple Choice

Find the second derivative of the function. $f ( x ) = 3 x ^ { \frac { 4 } { 7 } }$

A) $f ^ { \prime \prime } ( x ) = \frac { - 36 } { 49 } x ^ { \frac { 3 } { 7 } }$
B) $f ^ { \prime \prime } ( x ) = \frac { 4 } { 49 } x ^ { \frac { - 10 } { 7 } }$
C) $f ^ { \prime \prime } ( x ) = \frac { 147 } { 49 } x ^ { \frac { - 10 } { 7 } }$
D) $f ^ { \prime \prime } ( x ) = \frac { - 36 } { 49 } x ^ { \frac { - 10 } { 7 } }$
E) None of the above