Implicit Differentiation at a Point
What is the value of $$ \frac{dy}{dx} $$ at the point $$ (2, 2) $$ for the curve given by $$ x^3 + 2xy - y^2 = 6y $$?
A
$$ \frac{8}{3} $$
B
$$ -\frac{7}{2} $$
C
$$ \frac{2}{7} $$
D
$$ \frac{7}{2} $$
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