Please give a detailed explanation of the answers, as if you were teaching a student. Thanks a bunch!

D Consider the curve defined by: xy - 2x = 2 for yzo. ( a ) Show that dy = 6 x 2 - 42 dx 2x 4 ( b) Write an equation for the line tangent to the curve at the point ( 1, 2). ( 4 ) Find the x-coordinate of the point P at which the line tangent to the curve at P is horizontal . ( d ) Find the value of dy daz at the point (1,2)