Find the Requested Partial Derivative $\frac { \partial z } { \partial y }$

question 53

Multiple Choice

Find the requested partial derivative.
- $\frac { \partial z } { \partial y }$ if $z ^ { 3 } = z + x y - 1$ and $y ^ { 3 } = x + y - 1$

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

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