APFIVE Implicit Differentiation at a Point
If $$ x^3 + 2xy - y^2 = 6y $$, then at the point $$ (2, 2) $$, what is $$ \frac{dy}{dx} $$?
A
$$ \frac{7}{2} $$
B
$$ \frac{2}{7} $$
C
$$ \frac{8}{3} $$
D
$$ -\frac{7}{2} $$
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