Find the Coefficient Of $x ^ { 3 }$ In the Maclaurin Series For

Multiple Choice

Find the coefficient of $x ^ { 3 }$ in the Maclaurin series for $f ( x ) = \sin 2 x$ .

A) $- \frac { 2 } { 3 }$
B) $- \frac { 4 } { 3 }$
C) $\frac { 4 } { 3 }$
D) $- \frac { 8 } { 3 }$
E) $\frac { 2 } { 3 }$
F) $\frac { 8 } { 3 }$
G) $- \frac { 1 } { 3 }$
H) $\frac { 1 } { 3 }$