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

Multiple Choice

Let $z = e ^ { x } \sin y$ , and let $x$ and $y$ be functions of $S$ and $t$ with $x ( 0,0 ) = 0 , y ( 0,0 ) = 0$ , $\delta x / \delta s = 3$ , and $\delta y / \delta s = 4$ at $( s , t ) = ( 0,0 )$ . Find $\delta z /\delta\text { s }$ when $( s , t ) = ( 0,0 )$ .

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