Use Implicit Differentiation to Find $\frac { \partial z } { \partial x }$

question 85

Multiple Choice

Use implicit differentiation to find $\frac { \partial z } { \partial x }$ $x ^ { 4 } y + x z + y z ^ { 2 } = 7$

• A) \(\frac { \partial z } { \partial x } = - \frac { 4 x ^ { 3 } y } { 1 + 2 y }\)
• B) \(\frac { \partial z } { \partial x } = - \frac { 4 x ^ { 3 } y + z } { x + 2 y z }\)
• C) \(\frac { \partial z } { \partial x } = - \frac { 4 x ^ { 3 } } { 1 + 2 y }\)
• D) \(\frac { \partial z } { \partial x } = \frac { 1 } { 1 + 2 y }\)

---

Definitions:

White Passenger

White Passenger refers to regulatory or informal policies that historically granted privileges or exclusive rights to white individuals in various contexts, such as travel and transportation.

Southern Christian Leadership Conference

An African-American civil rights organization founded in 1957, notably led by Martin Luther King Jr., aimed at ending segregation and achieving racial equality.

Montgomery Bus Boycott

A pivotal civil rights protest in 1955-1956 in Montgomery, Alabama, where African Americans refused to ride city buses, opposing racial segregation and catalyzing further movements for equality.

Christian Values

Moral and ethical codes of conduct derived from Christian teachings.