Use Implicit Differentiation to Find the Specified Derivative at the Given

question 108

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { \partial y } { \partial x }$ at the point $( 2,3,2 )$ for $3 x ^ { 2 } + 6 \ln x z - 4 y z ^ { 2 } + 4 e ^ { z } = 0$ .

• A) \(\frac { 9 } { 16 }\)
• B) \(- \frac { 15 } { 16 }\)
• C) \(\frac { 15 } { 8 }\)
• D) \(\frac { 15 } { 16 }\)

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