Let $z = \ln \left( 2 x ^ { 2 } + y \right)$

question 125

Multiple Choice

Let $z = \ln \left( 2 x ^ { 2 } + y \right)$ , and let $x$ and $y$ be functions of $t$ with $x ( 1 ) = 1 , y ( 1 ) = 2 , x ^ { \prime } ( 1 ) = 3 \text {, and } y ^ { \prime } ( 1 ) = 4$ . Find $d z / d t$ when $t = 1$ .

• A)3
• B)4
• C)6
• D)8
• E)9
• F)10
• G)12
• H)16

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