1. Consider the curve given by xy2-xy=6. a. Show that dy dx = 3xy-y2 2xy-x b....

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1. Consider the curve given by xy2-xy=6. a. Show that dy dx = 3xy-y2 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. 1. Consider the curve given by xy2-xy=6. a. Show that dy dx = 3xy-y2 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.