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

question 116

Multiple Choice

Find the requested partial derivative.
- $( \partial w / \partial x ) _ { y , z }$ if $w = x ^ { 3 } + y ^ { 3 } + z ^ { 3 } + 9 x y z$

• A) \(3 \left( x ^ { 2 } + 3 y z \right)\)
• B) \(3 \left( x ^ { 2 } + 3 x y z \right)\)
• C) \(3 \left( x ^ { 2 } + 6 y z \right)\)
• D) \(3 \left( x ^ { 2 } + 6 x y z \right)\)

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Definitions:

Combinations

A selection of items from a larger set where the order of selection does not matter.

Interaction Effect

An effect in statistical analysis indicating that the influence of one variable on the dependent variable differs across levels of another variable, demonstrating that the effect is not simply additive.

Parallel Lines

Straight lines in the same plane that do not intersect, regardless of how far they are extended.

Variables

Variables are characteristics or properties that can vary among individuals or over time within a study.