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The cartesian equation of the Tschirnhausen cubic is given by x^3 = x^2 3y^2. (a) Use implicit differentiation to find dy/dx as a function of

The cartesian equation of the Tschirnhausen cubic is given by x^3 = x^2 3y^2.

(a) Use implicit differentiation to find dy/dx as a function of x and y.

(b) Find the slope of the tangent to the curve at the point where x = 2 and y > 0.

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