Consider the curve given by $\frac{(x+2{)}^2}{4}-\frac{(y-3{)}^2}{6}=1.$ Determine the point$($s$)$ on the curve where the tangent line to the

Operations is vertical. $($Enter your answers as a comma$-$separated list of points.$)$

Recall that to find $\frac{dy}{dx}$ for a relation between two variables $x$ and $y,$ first differentiate both sides with respect to $x,$ then sol $\frac{dy}{dx}.$ This process is known as implicit differentiation. Which differentiation rules are necessary for each term in the given relation? What is the slope of a vertical tangent line? What does the graph of this curve look like in the plane?