# How do I find this tangent line?

Calculus Level 4

Let $$y = y(x)$$ be the function implicitly determined by the equation $x^2 +2xy + 3 \ln{y} = e^y .$

Find the angular coefficient of the line tangent to $$y(x)$$ on $$y = 1$$, located at the first quadrant of the Cartesian plane.