Section II Part B — Full Practice Exam 4

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45 min
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6
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Full Practice Exam 4

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  1. Consider the curve defined by $$y^3=y-x^2$$. (a) Verify that $$\frac{dy}{dx}=\frac{2x}{1-3y^2}$$. (b) Write the equation for any horizontal tangents of the curve. (c) Write the equation for any vertical tangents of the curve. (d) At what ordered pair $$(x,y)$$ is the line $$2x+y=3$$ tangent to the curve $$y^3=y-x^2$$?

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