Use the Chain Rule to Find $\frac { d w } { d t }$

Multiple Choice

Use the Chain Rule to find $\frac { d w } { d t }$ $w = 9 x ^ { 4 } y ^ { 3 } z , \quad x = 6 t , \quad y = \cos 7 t , \quad z = t \sin t$

A) $4,536 x ^ { 4 } y ^ { 3 } z \sin 7 t ( \sin t + t \cos t )$
B) $9 x ^ { 4 } y ^ { 3 } ( 24 y z - 21 x z \sin 7 t + x y ( \sin t + t \cos t ) )$
C) $4,536 x ^ { 3 } y ^ { 2 } \sin 7 t ( \sin t + t \cos t )$
D) $9 x ^ { 3 } y ^ { 2 } ( 24 y z - 21 x z \sin 7 t + x y ( \sin t + t \cos t ) )$