1. Consider the curve given by xy2 - x³y = 6. a. Show that

Last updated: 7/7/2022

1. Consider the curve given by xy2 - x³y = 6. a. Show that dy/dx = (3x²y-y²)/(2xy - x³) 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.