Mark M. answered 03/22/22
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
y2 - x2 = 32
2y(dy/dx) - 2x = 0
dy/dx = x/y = 4/ (4√3) = 1/√3 = √3/3 = slope of tangent line
Use the point slope form to get an equation of the tangent line.