Question: Assuming negative 9 x cubed plus 1 0 y squared plus xy equals 0 9 x 3 + 1 0 y 2 + xy =

Assuming
negative 9 x cubed plus 10 y squared plus xy equals 09x3+10y2+xy=0
defines y as a differentiable function of x, use the theorem
StartFraction dy Over dx EndFraction equals negative StartFraction Upper F Subscript x Over Upper F Subscript y EndFractiondydx=FxFy
to find
StartFraction dy Over dx EndFractiondydx
at the point
left parenthesis 1 comma negative 1 right parenthesis(1,1).

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