Let $z = e ^ { x ^ { 2 } } \sin y$

Multiple Choice

Let $z = e ^ { x ^ { 2 } } \sin y$ , and let $x$ and $y$ be functions of $t$ with $x ( 1 ) = 0 , y ( 1 ) = 0 , x ^ { \prime } ( 1 ) = 3$ , and $y ^ { \prime } ( 1 ) = 4$ . Find $d z / d t$ when $t = 1$ .

A) 0
B) 1
C) 2
D) 3
E) 4
F) 5
G) 6
H) 7