1. a) Plot the curve x³- 4xy + 2y³ = 0 as x varies between -3 and 3 with the aid of the implicitplot command. dy b) Find at all points (x, y) on the curve for which x = 1. dx c) Find the equations of the lines tangent to the curve at the points you found in part b. d) Plot the curve and the tangent lines on the same set of axes.

Fig: 1