Question: Find the slopes of the figure-eight-shaped curve \({{y}^{4}}={{y}^{2}}-{{x}^{2}}\) at the points \(\left( \frac{\sqrt{3}}{4},\frac{1}{2} \right)\) and \(\left( \frac{\sqrt{3}}{4},\frac{\sqrt{3}}{2} \right)\).