Implicit Differentiation Tangent Line

For the following function, find $\frac{dy}{dx}$ by implicit differentiation

$x^2 + 2xy + y^2 = 5$

Use implicit differentiation to take the derivative of $y$ with respect to $x$ for the following equation

$y^5 + 2y = x^2$

Find $\frac{dy}{dx}$ when $x^3 + 3y^4 = 2x + 7$

Find $\frac{dy}{dx}$ and the slope of the tangent line at (0,3) for the curve given by

$y^3 + x^{2}y^{5} - x^4 = 27$