Provide an Appropriate Response $x ^ { 3 } + y ^ { 3 } = 9$

question 554

Multiple Choice

Provide an appropriate response.
-If $x ^ { 3 } + y ^ { 3 } = 9$ and $d x / d t = - 3$ , then what is $d y / d t$ when $x = 1$ and $y = 2$ ?

• A) \(- \frac { 4 } { 3 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(\frac { 4 } { 3 }\)
• D) \(- \frac { 3 } { 4 }\)

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