$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$

question 100

Multiple Choice

$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$
- $f ( x , y , z ) = \frac { \cos y } { x z ^ { 2 } }$

• A) \(f _ { x } = - \frac { \cos y } { x ^ { 2 } z ^ { 2 } } ; f _ { y } = - \frac { \sin y } { x z _ { 2 } ^ { 2 } } ; f _ { z } = - \frac { 2 \cos y } { x z ^ { 3 } }\)
• B) \(\mathrm { f } _ { \mathrm { x } } = \frac { \cos \mathrm { y } } { \mathrm { z } ^ { 2 } } ; \mathrm { f } _ { \mathrm { y } } = \frac { \sin \mathrm { y } } { \mathrm { xz } ^ { 2 } } ; \mathrm { f } _ { \mathrm { z } } = \frac { 2 \cos \mathrm { y } } { \mathrm { xz } }\)
• C) \(f _ { x } = - \frac { \cos y } { z ^ { 2 } } ; f _ { y } = - \frac { \sin y } { x z ^ { 2 } } ; f _ { z } = - \frac { 2 \cos y } { x z }\)

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Definitions:

Vicarious Performance

A principle which allows one person to perform their obligations through another, typically in the context of employment or contractual duties.

Vicarious Performance

Vicarious performance refers to situations where a third party performs contractual duties on behalf of one of the original parties involved in the contract.

Novation

The act of replacing one obligation with another by mutual agreement between all parties involved, essentially creating a new contract while cancelling the old one.

Right of Recovery

The legal ability to reclaim goods or compensation under the terms of an agreement or through legal proceedings.