Give an Appropriate Answer $$f ( x , y ) = \frac { x } { x + y }$$

question 280

Multiple Choice

Give an appropriate answer.
- $$f ( x , y ) = \frac { x } { x + y }$$

• A) \(\frac { \partial f } { \partial x } = \frac { 2 x + y } { ( x + y ) ^ { 2 } } ; \frac { \partial f } { \partial y } = \frac { x } { ( x + y ) ^ { 2 } }\)
• B) \(\frac { \partial f } { \partial x } = \frac { y } { ( x + y ) ^ { 2 } } ; \frac { \partial f } { \partial y } = - \frac { x } { ( x + y ) ^ { 2 } }\)
• C) \(\frac { \partial f } { \partial x } = - \frac { y } { ( x + y ) ^ { 2 } } ; \frac { \partial f } { \partial y } = - \frac { x } { ( x + y ) ^ { 2 } }\)
• D) \(\frac { \partial f } { \partial x } = \frac { 2 x + y } { ( x + y ) ^ { 2 } } ; \frac { \partial f } { \partial y } = - \frac { x } { ( x + y ) ^ { 2 } }\)

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Definitions:

Offensive Bodily Contact

Physical contact that is harmful or offensive to another person and not consented to, often considered a form of battery.

Apprehension

The fear or anticipation of future difficulty or trouble; in legal contexts, can also refer to the act of arresting someone.

Tort of Assault

A legal claim for harm caused by intentionally placing another person in fear of imminent physical harm or offensive contact.

Intentional Tort

A civil wrong resulting from an intentional act committed on the person, property, or economic interest of another. Intentional torts include assault, battery, conversion, false imprisonment, intentional infliction of emotional distress, trespass to land, and trespass to chattels.