Let $z = x y + x ^ { 2 } y$ , and let $x$ and $y$ be functions of $S$ and $t$ with $x ( 0,0 ) = 1 , y ( 0,0 ) = 2$ , $\delta x / \delta s = 3$ , and $\delta y / \delta s = 4$ at $( s , t ) = ( 0,0 )$ . Find $\delta z / \delta s $ when $( s , t ) = ( 0,0 )$ .
A)21
B)22
C)23
D)24
E)25
F)26
G)27
H)28

Question

Let $z = x y + x ^ { 2 } y$ , and let $x$ and $y$ be functions of $S$ and $t$ with $x ( 0,0 ) = 1 , y ( 0,0 ) = 2$ , $\delta x / \delta s = 3$ , and $\delta y / \delta s = 4$ at $( s , t ) = ( 0,0 )$ . Find $\delta z /  \delta s $ when $( s , t ) = ( 0,0 )$ .
A)21
B)22
C)23
D)24
E)25
F)26
G)27
H)28

Quizplus · Accepted Answer

The Answer of Let $z = x y + x ^ { 2 } y$ , and let $x$ and $y$ be functions of $S$ and $t$ with $x ( 0,0 ) = 1 , y ( 0,0 ) = 2$ , $\delta x / \delta s = 3$ , and $\delta y / \delta s = 4$ at $( s , t ) = ( 0,0 )$ . Find $\delta z /  \delta s $ when $( s , t ) = ( 0,0 )$ .
A)21
B)22
C)23
D)24
E)25
F)26
G)27
H)28

Let z=xy+x2yz = x y + x ^ { 2 } yz=xy+x2y

Let $z = x y + x ^ { 2 } y$