Implicit Differentiation

Find $\,\dfrac{dy}{dx}\,$ by implicit differentiation.

1. $\sqrt{x}-3\sqrt{y}=5$  solution

2. $\displaystyle{ 2x^3-6y^3=8 }$  solution

3. $\displaystyle{\frac{1}{x^3} + \frac{1}{y^2}=2 }$  solution

4. $\displaystyle{5x^3+3y =5-3x+4y^2 }$  solution

5. $\displaystyle{x y - y^3 = 4x-1}$  solution

6. $\displaystyle{ x^2-xy+y^2= 5}$   solution