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Worksheet LT 12 Sample Quiz
1.
Consider the curve defined implicitly by
\begin{equation*}
x^{2} + xy = y^{2} + 9.
\end{equation*}
(a)
Use implicit differentiation to find
\(\dfrac{dy}{dx}\text{.}\) Show your work.
(b)
Find the slope of the line tangent to the curve at the point
\((3,0)\text{.}\)
