Suppose That X and Y Are Related by the Equation $\frac { x ^ { 2 } } { 4 }$

question 11

Multiple Choice

Suppose that x and y are related by the equation $\frac { x ^ { 2 } } { 4 }$ + $\frac { y ^ { 3 } } { 2 }$ = 4. Use implicit differentiation to determine $\frac { d y } { d x }$ .

• A) \(\frac { d y } { d x }\) = - \(\frac { 2 x } { y ^ { 3 } }\)
• B) \(\frac { d y } { d x }\) = \(\frac { 2 y ^ { 2 } } { x }\)
• C) \(\frac { d y } { d x }\) = \(\frac { 1 } { 3 y ^ { 2 } }\) , y ≠ 0
• D) \(\frac { d y } { d x }\) = - \(\frac { x } { 3 y ^ { 2 } }\) , y ≠ 0

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