Differentiate $y = x \arctan ( 3 x )$
A) $y ^ { t } = \frac { 3 x } { \left( 1 + ( 3 x ) ^ { 2 } \right) } + \arctan ( 3 x )$

Multiple Choice

Differentiate $y = x \arctan ( 3 x )$ .

A) $y ^ { t } = \frac { 3 x } { \left( 1 + ( 3 x ) ^ { 2 } \right) } + \arctan ( 3 x )$
B) $y ^ { \prime } = \frac { 1 } { 3 + x ^ { 2 } } + 3 \arctan ( 3 x )$
C) $y ^ { \prime } = 3 \arctan ( 3 x )$
D) $y ^ { t } = 1 \cdot \arctan ( 3 x )$