Find the Requested Partial Derivative $( \partial w / \partial x ) _ { y }$

question 59

Multiple Choice

Find the requested partial derivative.
- $( \partial w / \partial x ) _ { y }$ if $w = x ^ { 3 } + y ^ { 3 } + z ^ { 3 } + 18 x y z$ and $z = x ^ { 2 } + y ^ { 2 }$

• A) \(3 x \left( 3 x + 2 z ^ { 2 } \right) + 18 y \left( 2 x ^ { 2 } + 3 z \right)\)
• B) \(3 x \left( x + 2 z ^ { 2 } \right) + 18 y \left( 2 x ^ { 2 } + z \right)\)
• C) \(3 x \left( x + 2 z ^ { 2 } \right) + 18 y \left( 2 x ^ { 2 } + 3 z \right)\)
• D) \(3 x \left( 3 x + 2 z ^ { 2 } \right) + 18 y \left( 2 x ^ { 2 } + z \right)\)

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