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

Give your answer to 1 decimal place.

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