1. Consider the curve given by xy2 - xy = 6.a. Show that dy/dx =...

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1. Consider the curve given by xy2 - xy = 6.a. Show that dy/dx = (3xy-y)/(2xy - x)b. Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of these points.C. Find the x-coordinate of each point on the curve where the tangent line is vertical.

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