For the hyperbola x^2 3y^2 = 2x y, (a) Determine the equation of the tangent line at the point (0, 1 3 ) if it exists. If it doesn't exist, explain why. (b) Determine the equations of all horizontal tangent lines, if they exist. If none exist, explain why.

2. Determine the equation of the tangent line to f(x) = e^x ln(2x) at x = 1.