Let $f ( x ) = \tan ^ { - 1 } \left( \log _ { 3 } x \right)$

Multiple Choice

Let $f ( x ) = \tan ^ { - 1 } \left( \log _ { 3 } x \right)$ Then $f ^ { \prime } ( x )$ is

A) $- \frac { 1 } { x \left( 1 + \left( \log _ { 3 } x \right) ^ { 2 } \right) }$
B) $\frac { 1 } { x \left( 1 + \left( \log _ { 3 } x \right) ^ { 2 } \right) }$
C) $\frac { \ln 3 } { x \left( 1 + \left( \log _ { 3 } x \right) ^ { 2 } \right) }$
D) $- \frac { 1 } { x \ln 3 \left( 1 + \left( \log _ { 3 } x \right) ^ { 2 } \right) }$
E) $\frac { 1 } { x \ln 3 \left( 1 + \left( \log _ { 3 } x \right) ^ { 2 } \right) }$