Let $z = \sqrt { 1 + 2 x + x y }$

question 244

Multiple Choice

Let $z = \sqrt { 1 + 2 x + x y }$ , and let $x$ and $y$ be functions of $t$ with $x ( 1 ) = 2 , y ( 1 ) = 2 , x ^ { \prime } ( 1 ) = 3$ , and $y ^ { \prime } ( 1 ) = - 6$ . Find $d z / d t$ when $t = 1$ .

• A)0
• B) \(- 2\)
• C)4
• D) \(- 4\)
• E)2
• F)1
• G) \(- 1\)
• H) \(\frac { 2 } { 3 }\)

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