$f _ { y } ( x , y ) = 0$

question 10

Multiple Choice

$\text { For } f ( x , y ) = 17 x ^ { 3 } - 12 x y + y ^ { 3 } \text { find all values of } x \text { and } y \text { such that } f _ { x } ( x , y ) = 0 \text { and }$ $f _ { y } ( x , y ) = 0$ simultaneously.

• A) \(( 0,0 ) , \left( - \frac { 4 } { 17 ^ { 2 / 3 } } , - \frac { 4 } { 17 ^ { 1 / 3 } } \right)\)
• B) \(( 0,0 ) , \left( \frac { 4 } { 17 ^ { 2 / 3 } } , \frac { 4 } { 17 ^ { 1 / 3 } } \right)\)
• C)\(( 0,0 ) , \left( - \frac { 4 } { 17 ^ { 1 / 3 } } , \frac { 4 } { 17 ^ { 1 / 3 } } \right)\)
• D)\(( 0,0 ) , \left( - \frac { 4 } { 17 ^ { 1 / 3 } } , - \frac { 4 } { 17 ^ { 1 / 3 } } \right)\)
• E)\(( 0,0 ) , \left( \frac { 4 } { 17 ^ { 1 / 3 } } , - \frac { 4 } { 17 ^ { 1 / 3 } } \right)\)

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