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

question 354

Multiple Choice

Find the requested partial derivative.
- $( \partial z / \partial x ) _ { y }$ at $( x , y , z ) = ( 1,1,1 )$ if $z ^ { 3 } + 6 x y z = 7$

• A) \(- \frac { 1 } { 2 }\)
• B) \(- \frac { 4 } { 3 }\)
• C) \(- \frac { 2 } { 5 }\)
• D) \(- \frac { 2 } { 3 }\)

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Definitions:

Fibrous Connective Tissue

A connective tissue type that is composed of parallel bundles of collagen fibers, providing strength, support, and flexibility to various structures of the body.

Hyaline Cartilage

A type of strong, flexible connective tissue found in various parts of the body such as the joints, nose, and trachea.

Sinuses

Air-filled cavities located in the bones of the skull, which help moisten, warm, and filter the air we breathe.

Flat Bones

Bones with a thin, flattened shape, primarily involved in protection of vital organs and providing broad surfaces for muscle attachment.