A) $\frac { d y } { d x } = - \sqrt [ 9 ] { x y }$

question 14

Multiple Choice

$\text { Find } \frac { d y } { d x } \text { by implicit differentiation given that } x ^ { \frac { 8 } { 9 } } + y ^ { \frac { 8 } { 9 } } = 2 \text {. }$

• A) \(\frac { d y } { d x } = - \sqrt [ 9 ] { x y }\)
• B) \(\frac { d y } { d x } = \sqrt [ 9 ] { \frac { y } { x } }\)
• C) \(\frac { d y } { d x } = - 9 \sqrt { \frac { y } { x } }\)
• D) \(\frac { d y } { d x } = \sqrt [ 9 ] { x y }\)
• E) \(\frac { d y } { d x } = - 9 \sqrt { \frac { x } { y } }\)

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