Consider the curve given by y^2=4xy+1 (AP Calculus AB- Help- Please explain and show work to help me understand and learn)
A. Find all points on the curve where the tangent line to the curve has slope 2.
B. Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontal.
C. Let x and y be functions of time t that are related by the equation y^2=4xy+1. At time t=6, y=2, and dy/dt=7, find dx/dt at time t=6.