2. Consider the curve given by y² - 2x²y = 3

a) Determine /

b) Write an equation for the line tangent to the curve at the point (1, -1).

c) Determine the coordinates of all points on the curve at which tangent line is horizontal.

d) Evaluate ² /² at the point (1, -1).

Consider the curve given by the equation y2 2x2y = 3. . d a) Determine y. dx b) Write an equation for the line tangent to the curve at the point (1, 1). 0) Determine the coordinates of all points on the curve at which tangent line is horizontal. dzy . d) Evaluate d at the pomt (1, 1). x2