If Find $\frac { \partial g } { \partial x } ( 1,0 )$

question 187

Essay

If $g ( x , y ) = \left\{ \begin{array} { l l } \frac { x ^ { 4 } + y ^ { 2 } } { x ^ { 2 } + y ^ { 4 } } & \text { if } ( x , y ) \neq ( 0,0 ) \\0 & \text { if } ( x , y ) = ( 0,0 )\end{array} \right.$ find $\frac { \partial g } { \partial x } ( 1,0 )$ and $\frac { \partial g } { \partial y } ( 1,0 )$ .

---

Definitions:

Equitable Remedy

The requirement that a party do something or refrain from doing something, beyond the payment of money.

Injunction

A court order preventing someone from performing a particular act.

Contract Law

The body of law that governs the formation, performance, and enforcement of contractual agreements between parties.

Creditor Beneficiary

A third party who benefits from a contract made between two other parties, especially in scenarios where one party promises to pay a debt owed to the third party.