Use Implicit Differentiation to Find Dy/dx $$x ^ { 3 } + 3 x ^ { 2 } y + y ^ { 3 } = 8$$

question 433

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$x ^ { 3 } + 3 x ^ { 2 } y + y ^ { 3 } = 8$$

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

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