Use the Limit Definition of the Partial Derivative to Compute $\text { Find } \frac { \partial f } { \partial x } \text { at the point } ( 4 , - 4 ) : f ( x , y ) = 3 - 8 x y + 8 x y ^ { 2 }$

question 224

Essay

Use the limit definition of the partial derivative to compute the indicated partial derivative of the function at the specified point.
- $\text { Find } \frac { \partial f } { \partial x } \text { at the point } ( 4 , - 4 ) : f ( x , y ) = 3 - 8 x y + 8 x y ^ { 2 }$

---

Definitions:

Symbolic Interaction

A sociological theory focusing on the importance of language and symbols in human interaction and the development of self.

Parental Inheritance

The passing down of genetic traits, characteristics, or property from parents to their offspring.

Social Conflict

An alternative term for conflict theory; it emphasizes the struggles between groups in society over inequalities, power, and resources.

Dysfunctional Consequences

Negative effects or outcomes that result from maladaptive behaviors or processes, often impacting mental health or social functioning.