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) \(\frac { \partial z } { \partial x } = \frac { 1 } { 1 + 2 y }\)

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