Solve the Problem $\frac { d w } { d t }$

Multiple Choice

Solve the problem.
-Evaluate $\frac { d w } { d t }$ at $t = 6$ for the function $w = e ^ { x y z } z ^ { 2 } ; x = t , y = t , z = \frac { 1 } { t }$ .

A) 0
B) $\frac { 5 } { 3 }$
C) $- \frac { 5 } { 3 } \mathrm { e }$
D) $\frac { 5 } { 3 } \mathrm { e }$