# Measures of Trisectrix

Calculus Level 4

The equation $$y^3+yx^2+ax^2-3ay^2=0$$ represents the curve called Trisectrix. Now if we define a function $$E_x$$ such that $$E_x$$ is the sum of all the different slopes of the curve at $$x$$. Find $$\Large E_a$$

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