Implicit Differentiation xy

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 $(-2, 1)$ for the curve given by

$2x^2 - 3y^3 = 5$