# Calculus: Other Calculus Problems – #26738

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 $$\left( \frac{\sqrt{3}}{4},\frac{\sqrt{3}}{2} \right)$$.