Let $z = \sin ( x y )$ , and Let $x$

Multiple Choice

Let $z = \sin ( x y )$ , and let $x$ and $y$ be functions of $t$ with $x ( 1 ) = 0 , y ( 1 ) = 1 , x ^ { \prime } ( 1 ) = 2 , \text { and } y ^ { \prime } ( 1 ) = 3$ . Find $d z / d t$ when $t = 1$ .

A) 0
B) 1
C) 2
D) 3
E) 4
F) 5
G) 6
H) 12